Mrs. Smith calls customer care after she receives her phone bill. Her bill is normally $40. 00 per

month, however, this month it is $110. 0. Mrs. Smith negotiates a 50% credit of the difference

between the normal charge of $40. 00 and the current balance of $110. 0. How much will Mrs.

Smith be responsible for paying?

Answers

Answer 1

Mrs. Smith will be responsible for paying $75.00

The normal monthly charge is $40.00 and the current balance is $110.00,

so the difference is $110.00 - $40.00 = $70.00.

Mrs. Smith negotiated a 50% credit, so she will receive

$70.00 x 0.50 = $35.00 credit.

To find the amount she is responsible for paying, we subtract the credit from the current balance

$110.00 - $35.00 = $75.00

Thus, the amount Mrs. Smith will be responsible for paying is $75.00

To learn more about the credit

https://brainly.com/question/13964348


Related Questions

The function f open argument x close argument varies inversely with x and f open argument x close argument equals 0.5 when x

Answers

The value of function f(x), when x=2.4 is f(x)=0.00625.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

If the function f(x) varies inversely with x, then this function is of the form -

f(x)=a/x

where a is unknown number.

Since  f(x)=0.5 when x =0.3, then -

0.5 = a/0.3

a = 0.5 × 0.3

a = 0.15

So, the function now becomes -

f(x) = 0.15/x

Substituting for x = 2.4 -

f(2.4) = 0.15 / 2.4

= 15/240

= 1/16

= 0.00625

Therefore, f(x) value is obtained as 0.00625.

To learn more about function from the given link

https://brainly.com/question/10439235

#SPJ4

The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?

PLEASE HELP ME

6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.​

Answers

Answer : if each topping is 1.25 then multiply that by 3 because there's 3 toppings on the pizza and if the total was 16.25 the original price of the pizza is 12.5. I hope this was the answer you were looking for a good luck :)

Step-by-step explanation:

A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a $\heartsuit$

Answers

The probability that the top card is a suit of heart as calculated from the data given is found to be 4 / 663.

We are given that ,

The number of cards in the deck = 52

Number of 3's in the deck = 4

Number of 8's in the deck = 4

As because all the card deck's have 4 cards of same number in different suits.

Probability is calculated as ,

P = required outcome / Total possible outcomes

Therefore, when we can choosing cards without replacing them we get,

P(top card is a 3) = 4 / 52

P(second being 8) = 4 / 51

P(top card is a 3 and second 8)

=4/52 x 4/51

= 16 / 2652

= 4 / 663.

To learn more about cards

brainly.com/question/15849203

#SPJ4

The surface area of a sphere with the radius r is 4 pi r^2. Including the area of its circular base, what is the total surface area of a hemisphere with the radius 6 cm? Express your answer in terms of pi.

Answers

The total surface area of the hemisphere is 108 pi cm^2.

Surface area is the amount of space covering the outside of a three-dimensional shape. We calculate the surface area for three dimensional objects. The surface area of a 3-D object is not same as its volume.

The surface area of a sphere with the radius r is 4 pi r^2

The surface area of a hemisphere with the radius r = 2 pi r^2 +   pi r^2

where pi r^2 represents the area of the circular base of the hemisphere of radius r.

The surface area of a hemisphere sphere with the radius r is 3 pi r^2

For radius r=6cm

TSA of  the hemisphere is 3 pi (6x6) cm^2

TSA = 108 pi cm^2

108 pi cm^2 is the total surface area of a hemisphere with the radius 6 cm.

To know more  about sphere:

https://brainly.com/question/9994313

#SPJ4

A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.​

Answers

The length of the rope is  2√29 meters.

What is an isosceles triangle?

An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.

it sags so that the center is 2 meters below the level of the ends.

Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.

Since △ABD is isosceles triangle and AD = BD.

In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters

Apply Pythagorean theorem on △ACD:

AD² = AC² + CD²

AD² = 5² + 2²

AD² = 29

AD = √29

Therefore, BD = √29

The length of the rope is AD + BD = 2√29 meters.

To learn more about Pythagorean theorem, click on the below link:

https://brainly.com/question/13602143

#SPJ1

PLEASE HELP!!! WILL AWARD BRAINLIEST!!!

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Top data set labeled males, minimum at 1, Q1 at 3, median at 11, Q3 at 14, maximum at 21, and an outlier at 30.

Bottom data set labeled females, minimum at 0, Q1 at 15, Median at 18, Q3 at 21.

Part A: Estimate the IQR for the males' data. (2 points)


Part B: Estimate the difference between the median values of each data set. (2 points)


Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)


Part D: Provide a possible reason for the outlier in the data set. (2 points)

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions

Answers

The estimated IQR for the males dataset is 24 , the estimated difference between median value of each dataset is 14.

What is median ?

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It can be regarded as "the middle" value for a set of data.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. Depending on whether you have an odd or an even number of data points, there are different processes to take when calculating the median.

In a collection of numbers, the median is the value in the middle. A series of numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest in order to find the median value.

A. IQR  for male dataset

The IQR is calculated as follows:

IQR = Q3 - Q1

      =

For the male's data:

IQR = Q3 - Q1

      = 25 - 1

      = 24

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

median = 20 ----- Male dataset                                                    

median = 6  ----- Female dataset

So, the difference (d) is:

d = 20 - 6

  = 14

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry.

To learn more about median from the given link  

https://brainly.com/question/26151333

#SPJ4

Any help is appreciated<3
A jewelry shop is offering a percent discount on the original price of a jade pendent. The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal. Write an equation to find the discount price, y dollars, of the pendant.

Answers

An equation to find the discount price, y dollars, of the pendant is y=2d.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The original price of the pendant was $200.

Let d represent the percent discount, written as a decimal.

The discount price, y dollars, of the pendant.

y=d% of 200

y=d/100 ×200

y=2d

Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

I WILL MARK BRAINLYEST AND 40 POINTS

Describe a meal that you could put together that provides 4 servings of both a main course and a side dish. Explain how you know that it will not exceed the weight limit of the box

Answers

The total number of servings of chicken the food bank can provide is 70 servings.

What is per unit?

Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.

Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)

Thus,

The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving

The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)

∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413

Given that the servings are in whole numbers, we have;

therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.

Learn more about per-unit here:

https://brainly.com/question/29355214

#SPJ1

i don’t know this pls help

Answers

The perimeter of the right triangle is 228 inches

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter.

Since it is a right triangle,

c² = 57² +76²

c² = 3249 + 5776

c² =  9025

c=  √ 9025 = 95

Perimeter is the sum of all sides

Perimeter = 57+76+95 = 228 inches

To Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ1

simplify square root of 3y^2 if y<0

Answers

Note that the resultant expression after simplifying simplify square root of 3y² if y<0 is: y√3

What is the rationale for the above result?

Note that we need to take a factor out of the square root:  √(3y²) , where y<0.

The given expression is  √(3y²)

Recall that to take out a factor out of the square root that factor must have a degree in multiple of 2 such as x², x⁴, (x-2)⁴, thus,

√(3y²)  = √3y²

⇒ √3 √y²

⇒  √3 (y²)[tex]^\frac{1}{2}[/tex]

⇒ √3 (y)[tex]^\frac{2}{2}[/tex]

= y √3

Thus, having simplified the expression √(3y²), the result is:  y √3.

Learn more about Math Expressions:
https://brainly.com/question/14961928
#SPJ1

Type the correct answer in each box. Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27. The mean of her sales over the week is , and the median is . Reset Next

Answers

The mean of her sales over the week is 29 and the median is 27.

What is mean?

The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.

Here,

To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as

mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7

⇒mean = 29.

To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So

23 - 25 - 25 - 27 - 32 - 35 - 36

⇒median = 27.

Summarizing, the mean of the sales is 29 and the median 27.

To know more about mean,

https://brainly.com/question/4172942

#SPJ4

What is the minimum value of 2x^2 3x 5?

Answers

The minimum value of the given quadratic equation is 31/8. Solved using graph method to find a minimum value that is c - b^2/4a.

By graphing the equation and locating the minimum point on the graph, you may visually determine the minimum value. The graph's vertex will have the lowest y-value. When you have a graphing calculator that can perform the majority of the work for you, this is very simple.

A graph makes it simple to determine the minimum value of a quadratic equation. One can use the graph to identify the minimum point of the quadratic equation and to find the minimum value in a visual way. If the quadratic equation is written as [tex]y= ax^2 + b*x + c[/tex]one can follow the equation that says the minimum value is min = c- (b^2/4a) to obtain the minimum value of the quadratic equation.

Given Quadratic equation is y = 2x^2 + 3x + 5

a = 2 , b =3 ,c = 5.

Minimum value  = c - (b^2/4a)

= 5 - 9/8

=31/8.

To know more about the minimum value of quadratic here:

https://brainly.com/question/24973269

#SPJ4

What is adjacent angle Class 7?

Answers

In class 7, adjacent angles are defined as two angles that share a common vertex and a common side but do not have any common interior points. They are angles that are next to each other.

Adjacent angles are often used in geometry to describe the angles formed by intersecting lines or figures. The adjacent angles can be classified into two types, namely:

Interior adjacent angles: They are formed by two lines that intersect inside a closed figure, such as in a parallelogram.

Exterior adjacent angles: They are formed by two lines that intersect outside a closed figure, such as in a straight line.

To know more on adjacent angles

https://brainly.com/question/12838185

#SPJ4

I really need help on this question

Answers

Step-by-step explanation:

2×4=8

8×2/3

8×2=16

16×3=48

ans = 48

is triangle ABC similar to CDE?​

Answers

Answer:Yes

?=6



Step-by-step explanation:

they sare the same angle 55 and angle

Answer:

Triangle ABC is similar to triangle CDE

?=8

Step-by-step explanation:

We can set up a proportion: x/12=8/12. We can use cross multiplication to get 12x=96 which would x=8.

The triangles are similar since both of them have 55 degrees as one of the angle measures.

how do i do this qution

Answers

y = -1/2x is the equation of example of the direct variation.

What is polynomia?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

Given four linear equations in them we need to state which equation is an example of direct variation.

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Or in other words, the direct variation equation always passes through the origin point of a cartesian plane or (0, 0).

Therefore, in the given options y = -12/x is the only equation that is an example of direct variation.

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ1

Ash and her 2 friends went to dinner. If the bill was $124.72, and they left an 18% tip, how much did each person pay

Answers

Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

Which percentage is it?

A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Amount of bill = $124.72

and tip they left = 18% of $124.72

total amount is =$124.72 + $124.72*18%=$147.1696

so, each person pay= $147.1696/3=$49.056

To know more about percentage visit:-

brainly.com/question/29306119

#SPJ4

What type of line is Y 0?

Answers

If the value of y = 0, then it make the straight line on the graph.

The term graph in math is defined as the way that is used to represent a set of data to make it easier to understand and interpret statistical information.

Here we have the expression y = 0.

And here we know that the y coordinate is constant which is 0 for given equation and only x coordinate is variable.

Therefore it represent the x-axis.

Therefore, basically y=0 is the linear equation to denote the x - axis, here as all the points on the x- axis, then we have their y co-ordinate = 0.

To know more about Graph here,

https://brainly.com/question/17267403

#SPJ4

does the order of the quantities in an inequality matter

Answers

The order of the quantities in an inequality matters. Therefore, it is true.

How to illustrate the inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

When resolving an inequality, you can do one of the following: Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount. You must flip the inequality symbol if you multiply or divide each side by a negative number.

Therefore, the order matters.

Learn more about inequalities on:

https://brainly.com/question/24372553

#SPJ1

Calculate the size of angle ABC

Answers

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

Describe trigonometry.

Correlations between triangles' angles and sides are studied in the branch of mathematics known as trigonometry. Since every straight-sided form may be reduced to a collection of triangles, trigonometry can be found throughout geometry. The relationships between trigonometry and other branches of mathematics, in particular calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly complicated.

Here,

There are two potential solutions because the supplied angle is opposite the given side that is the shortest.

Using the sine law,

B = b/asin(A)arcsin(9/7sin(30°))arcsin(9/14)

Angle B may take on the following values:

B is equal to arcsin(9/14) = 40.0°.

B = arcsin(9/14) - 180° = 140.0°

Therefore , the solution of the given problem of trigonometry comes out to be  B = arcsin(9/14) - 180° = 140.0°.

To know more about trigonometry , visit

brainly.com/question/12068045

#SPJ1

Find the x-intercept and y-intercept

from the following linear equation:

12x + 30y = 180
x - intercept = ()
y - intercept ()_

Answers

Answer:

x - intercept = (15, 0)

y - intercept = (0, 6)

Step-by-step explanation:

x-int. is when y = 0

y-int. is when x=0

Plug in y = 0 and x = 0 to get intercepts.

FOR X-INT.:

12x + 30(0) = 180

12x = 180

x = 15

x-int. is (15, 0)

FOR Y-INT. :

12(0) + 30y = 180

30y = 180

y = 6

y-int. is (0, 6)

Given: 2x−43=2
Prove: x = 5

Select from the drop-down menus to correctly complete the proof.

Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5

Answers

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

=> 2x =10

=> x =10/2

=> x =5

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200200200 square units. She places a circle in the middle of the logo centered at (0,0)(0,0)(, 0, comma, 0, ). The circle passes through the point (6.3,1.6)(6.3,1.6)(, 6, point, 3, comma, 1, point, 6, ). Approximately what percentage of the logo does the circle cover

Answers

Approximately 66(2s f) percentage of the logo does the circle cover.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ [tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

⇒  [tex]r = \sqrt{(6.3-0)^2+(1.6-0)^2}[/tex]

⇒   r = 6.5

Now we calculate the area;

⇒ [tex]A = \pi r^2[/tex]

⇒  [tex]A = \pi (6.5)^2[/tex]

⇒  [tex]A = \frac{169}{4} \pi[/tex]

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

Percentage = [tex]\frac{42.25*\pi }{200}*100[/tex]

Percentage = 66(2s f)

Hence, approximately 66(2s f) percentage of the logo does the circle cover.

To know more about percentage, click on the link

https://brainly.com/question/24877689

#SPJ4

Triangles a and b are right angled. show that the two shorter sides in triangle a have the same length as the two shorter sides in triangle B
i got 2/4 of the marks pls help

Answers

Answer:

Step-by-step explanation:

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled

Brie bought a rug for her bedroom. The area of the rug measures 25 square feet. Her bedroom is ten feet wide and twelve feet long. Using the given measurements, what is the amount of her bedroom NOT covered by the rug

Answers

The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.

What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.

To learn more about square centimeters refer to:

https://brainly.com/question/29373895

#SPJ4

?
Kadeesha left her house at time zero and drove for 3 minutes to the store, at a speed
of 1 blocks per minute. Then she stopped and went into the store for 3 minutes. From
there, she drove in the same direction at a speed of 2 blocks per minute until she got
to the bank, which is 6 blocks away from the store. She stopped at the bank for 5
minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of
showing the number of blocks away from home that Kadeesha is a minutes after she
leaves her house, until she gets back home.
Graph Stories (Level 1)
Jan 08, 3:36:47 PM
Watch help video
Click twice to plot a segment.
Click a segment to delete it.

Answers

Therefore ,As a result, the answer to the above  equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).

Equation : what is it?

An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.

Here,

Given :

At time zero, Kadeesha stepped outside and drove 3 minutes at a speed of 1 block per minute to the store.

after traveling six blocks at her normal speed of three blocks per minute

She spent 5 minutes stopping at the bank as a result. She then sped home at a rate of three blocks per minute.

She therefore begins at (19,8), travels 8 blocks back in 2 minutes, and ends at (21,0).

Therefore ,As a result, the answer to the above  equation is: She starts at (19,8), travels 8 blocks back in 2 minutes, and ends up at (21,0).

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Match the solution to its expression.

Answers

The equivalent values to the given expressions are -

2/3 and 3/7 respectively.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are two expressions as -

1/3 + 1/3

5/7 - 2/7

The given expression are -

1/3 + 1/3

(1 + 1)/3

2/3

5/7 - 2/7

(5 - 2)/7

3/7

Therefore, the equivalent values to the given expressions are -

2/3 and 3/7 respectively.

To solve more questions on expressing evaluation, visit the link below -

brainly.com/question/1041084

#SPJ1

Nick is driving from Brookville to Kansas City, a distance of more than 325 miles, to watch the Bengals play the Chiefs in the playoffs. After driving 75 miles, Nick stops for gas. Write and solve an nequality to determine how much farther Nick has to drive to reach Kansas City.​

Answers

The distance that Nick has to drive to reach Kansas will be at least 250 miles.

How to illustrate the inequality?

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.

An inequality to determine how much farther Nick has to drive to reach Kansas City will be:

x > 325 -75

x > 250

Learn more about inequalities on

brainly.com/question/24372553

#SPJ1

Find the solutions of the quadratic equation 3x2−x+8=03x 2 −x+8=03, x, squared, minus, x, plus, 8, equals, 0.

Answers

The solutions of the quadratic equation 3x² − x + 8 = 0 are as follows;

x = 0.1667 + 1.6245i

x = 0.1667 - 1.6245i

How to solve the given quadratic equation?

In Mathematics, the standard form of a quadratic equation is given by this mathematical expression;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

From the information provided above, we can logically deduce the following data values (parameters);

3x² − x + 8 = 0

Where:

a = 3b = -1c = 8

Substituting the data values (parameters) into the quadratic formula, we have the following;

[tex]x = \frac{-(-1)\; \pm \;\sqrt{(-1)^2 - 4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;96}}{6}[/tex]

x = (1 ± √95)/6

x = (1 + √95)/6 = 0.1667 + 1.6245i

or

x = (1 - √71)/6 = 0.1667 - 1.6245i

In conclusion, i represents a complex number.

Read more on quadratic equation here: https://brainly.com/question/4053652

#SPJ1

Complete Question:

Find the solutions of the quadratic equation 3x² − x + 8 = 0.

Choose the best description of the data used to generate this histogram (note that the horizontal axis has no scale, so you will make your choice based solely upon the histogram's shape): OSAT Math scores of 1,000 future engineers and scientists. O Results of rolling a six-sided die 1,000 times. Cholesterol levels of 1,000 adults. O Shoe sizes of 1,000 men and women. O Prices of 1,000 California homes. * That is not quite right. The bulk of the SAT Math scores of engineers and scientists would be high scores, since people interested in those fields are usually good at math. So that distribution would be skewed left. Please try again.

Answers

On solving the provided question we can say that  so the value of the data from histogram graphs will be x [tex]\alpha[/tex] 0.123 * 125 / 100  = 0.15375

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs

so the value of the data from histogram graphs will be

z = 0.123

u = 100

x = 125

x [tex]\alpha[/tex] 0.123 * 125 / 100  = 0.15375

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ4

Other Questions
400 families were surveyed. It was found that 90% had a TV set and 60% had a computer. Every family had at least one of these items. One of these families is randomly selected, and it is found that it has a computer. Find the probability that it also has a TV set. Cameron worked as a salesperson at an electronics store and sells phones and phone accessories. Cameron earns a $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells. On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold. How long is 3 paragraphs? A biologist used the radioisotope tritium (3H) to label thymine and the radioisotope carbon-14 (14C) to label uracil. She then incubated a growing bacterial culture with both labeled bases. After five hours of incubation, the biologist extracted polynucleotides from the cells and separated them into three groups, each containing a range of different polynucleotide lengths. The first group contained the shortest polynucleotides. The second group contained polynucleotides of midrange length, and the third group contained the longest polynucleotides. Then she determined the percentage of each radiolabel in each fraction. Her data are summarized in the table above. Which statement represents a reasonable hypothesis that could explain these results?Uptake of 3H label resulted from DNA replication, and uptake of 14C label resulted from transcription. Select the correct answer On January 3, ATA Company purchases a copy machine for $11,500. The machine is expected to last five years and have a salvage value of $1,500. Compute depreciation expense for the first year, assuming the company uses the straight-line method. Y intercept and slope What is the constant term of 2x 3? 1. What are the criteria for accepting a theory as a physical law? What is the following difference?2ab(/192ab)-5[/81abO-3ab 3abO 18ab (2/3a)-45a2b (23b)0-7ab(23ab)O8ab(3ab-15ab (23ab) HELPPP ASAP ( Please include full sentences) The resources of land, labor, capital, entrepreneurship, and knowledge are: Multiple choice question. Why do you think Americans value the ideas of liberty, equality and justice? Why do you think they disagree when it comes to more specific rights?Make sure that you refer to ideas from King's letter and the Equal Rights Amendment in your response. Your response should be at least 3 sentences in length. Medicaid is known as the __________, since it is always billed after another plan has been billed, if other coverage exists. What is a 7th interval? write a paragraph fictional diary entry that details your day in the life within a Command, Market economic system. I had just finished making a complicated piece of equipment that was to be used for a show opening in Philadelphia called "Fiorello." When the machine arrived they had trouble wiring it, so instead of going off to college that morning for an orientation, I spent several days at the theater fixing my light/sound equipment. The show received poor reviews, except for the mention by one reviewer of the "special effects," which, he wrote, were "outstanding.""On Becoming an Inventor,"J. Dean KamenRead this passage and identify the opinion Kamen expresses. How does he support his opinion? (on edge) In preparation for a vaginal delivery of a patient at term, the nurse has set up the delivery table with instruments and checked the infant warmer for suction and resuscitation equipment. What health care team members should be present at every delivery in order to adequately care for the newborn An investor sold 100 shares of MAS short when the stock was trading at 21. If MAS is now trading at 16, and the investor wants to protect her gain, which of the following orders should she place Abuse can happen when caregivers who feel forced to provide careTrue or false