There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.
what is fractions ?A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.
Given,
To get the difference between 16/17 and 14/17, discover their common denominator first.
17 is the shared denominator of both fractions.
To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:
16 - 14/17 (16 - 14) = 2/17 is the solution.
Therefore, there is a 2/17 difference between 16/17 and 14/17.
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coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2)?
An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.
How to determine an equation of this line?Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the information provided, we have the following points on line g:
Point = (-3, 6)
Point = (0, 5)
Next, we would determine the slope of line g as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 6)/(0 - (-3))
Slope, m = -1/3
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
-1/3 × m₂ = -1
m₂ = 3
At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-2) = 3(x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
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Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.
note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)
Note (the chapter name is fractional equations, so they want us to make an equation and solve it)
The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:
9 and 11.
How to obtain the numbers?The two numbers are odd numbers and consecutive, hence they are symbolized as follows:
n and n + 2. (as n + 1 is even).
Their reciprocals are given as follows:
1/n.1/(n + 2).The difference of their reciprocals is obtained as follows:
1/n - 1/(n + 2) = 2/99.
The least common factor of n and n + 2 is of n x (n + 2), hence:
(n + 2 - n)/[n(n + 2)] = 2/99
2/[n(n + 2)] = 2/99.
As the numerators are equal, we take the denominators to solve for n as follows:
n(n + 2) = 99.
n² + 2n - 99 = 0.
(n - 9)(n + 11) = 0.
Applying the Factor Theorem, the solutions are given as follows:
n - 9 = 0 -> n = 9.n + 11 = 0 -> n = -11.We want the positive numbers, hence the numbers are:
n = 9 and n + 2 = 9 + 2 = 11.
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Write each percent as a fraction and as a decimal.
7/10%
I NEED THIS BY 2:30PM
The value of 10% as a fraction and a decimal will be 1/10 and 0.1.
How to calculate the percentage?From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.
10% as a fraction will be calculated by dividing 10 by 100. This will be:
= 10 / 100
= 1 / 10
10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.
= 1/10
= 0.1
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. Complete question
Write 10% as a fraction and a decimal
what is the area of 12 1/2 feet long and 11 3/4 feet wide
now, we're assuming this is some rectangular area, and thus is simply the product of both quantities, let's change all mixed fractions to improper fractions firstly.
[tex]\stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} ~\hfill \stackrel{mixed}{11\frac{3}{4}} \implies \cfrac{11\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{47}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{2}\cdot \cfrac{47}{4}\implies \cfrac{1175}{8}\implies 146\frac{7}{8}~ft^2[/tex]
Find the missing term 2,..,20,29
Answer:
11
Step-by-step explanation:
29-20= 91
2+9=11
11+9=
Describe the transformation between these two lines.
Answer:
To get black from red ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsStep-by-step explanation:
You want the know the transformation that is applied to the red graph to make it be the black graph.
ObservationWe note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.
The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.
TransformationThe reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.
The transformations applied to the red graph are ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsPLS HELP ASAPPAPA
Type the correct answer in the box. If necessary, use / for the fraction bar.
If a rectangular prism has a length, width, and height of centimeter, centimeter, and centimeter, respectively, then the volume of the prism is
cubic centimeter.
Explanation:
Multiply out the fractions. This is because volume = length*width*height when it comes to rectangular prisms, aka blocks.
(3/8)*(5/8)*(7/8) = (3*5*7)/(8*8*8) = 105/512
This fraction cannot be reduced since 105 and 512 have no factors in common, other than 1. A clue of this is to notice how neither 3, nor 5, nor 7 share any common factors (other than 1) with 8 in the denominator.
Answer:
105/512
Step-by-step explanation:
hope this helps
7. Find the slope and y-intercept of the line given by -6x - 18y = 20.
Answer:
Given,eqn is -6x-18y=20
or,-18y=6x+20
or,y=6x+20/-18
or,y=6x/-18 +20/-18
or,y= - X/3 -10/9
Comparing above eqn with y=mx +c,we get
m= -1/3 and y-intercept (c)=-10/9
*Mark me brainliest
Answer:
slope: -1/3 y-int: -10/9
Step-by-step explanation:
first step is to turn the equation into slope intercept form (y=mx+b)
-6x-18y=20
+6x +6x
-18y=6x+20
divide -18 on both sides
y=-1/3x-10/9
the m is the slope, and the b is the y-intercept
For the simple harmonic motion equation d=2 sin(pi/3 t), what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answer:
The frequency is f = 1/T = 1/2 Hz.
Step-by-step explanation:
The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.
Answer:1/6
Step-by-step explanation:
Does the table below represent a proportional relationship? DUE PLSS
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
Answer: The answer to your question is the letter B. May want to assess it before answering.
HELP ASAP!
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.
Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15
Answer:
2/15 6/15 8/15 9/15 12/15
Step-by-step explanation:
Answer: 2/15, 6/15, 8/15, 9/15, 12/15.
Step-by-step explanation:
Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:
8, 2, 9, 6, 12
Now rearrange from smallest to largest:
2, 6, 8, 9, 12
Now just put the denominators back in under the arranged numbers:
2/15, 6/15, 8/15, 9/15, 12/15
Words and their definitions:
Numerator: Top part of the fraction
Denominator: Bottom part of the fraction
please help me thank you.
Answer:
62 degrees.
Step-by-step explanation:
I think this because it appears that ABC makes a 90 degree angle and I would think that you would just subtract 28 from 90 and get 62.
Hope it helps! =D
GIVING BRAINLIEST PLEASE HELP
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour. She also gets a $100 bonus for agreeing to start right away! Create an equation, table, and graph to represent this situation. Define your variables!
The linear equation y = 15x +100. And the graph and table are given in the attached image.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.
She also gets a $100 bonus for agreeing to start right away.
Let x be an hour, she worked.
And y be the total earnings.
So, the equation,
y = 15x + 100
The table is given in the attached image.
And the graph is also given.
Therefore, the equation is y = 15x + 100
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the point (2, 6) is located on a line with slope of 3. which point could also be located on the line?
Answer
using y = mx+c
where m is the slope and c
6 = 3(2)+c
6 = 6 + c
c= 0
Y-intercept is where the line passes through the y-axis, which is where x = 0
So, when x = 0, y = 0
Another point on the line, then, is {0,0}
PLEASE HELP!! ALGEBRA 1 HW! I WILL GIVE BRAINLYEST
Answer:
(0.5, 3)
Step-by-step explanation:
Just entered it into a desmos graphing calculator online
To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?
(b) How much interest did Donna pay on the loan?
Total amount paid by Donna is $16,689.6 and interest paid is $789.6.
What exactly does a down payment mean?The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.
According to question:
Given,
Price of car= $15,900
Down Payment=$4800
number of months=12 x 4=48 month
Monthly payment=$245.70
Total amount Donna paid = Down payment+ all monthly installment
Total amount = $4800+ 48 x 247.70 =$16,689.6
Interest Paid = $16,689.6 - $15,900 = $789.6
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Determine the value of x.
A) 2√3 B) 6√3 C) 12 D) 12√3
The required measure of the value of x is given as 2√3. Option A is correct.
What are trigonometric equations?
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
here,
Consider the given triangle,
perpendicular = 6
base = x
Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3
Thus, the required measure of the value of x is given as 2√3. Option A is correct.
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whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
a(n)=
2
3
(−2)
n−1 what is the 3rd term in sequence
The third term of the geometric sequence will be 8/3.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The equation is given below.
aₙ = (2/3) · (-2)ⁿ⁻¹
The third term of the geometric sequence will be given as,
a₃ = (2/3) · (-2)³⁻¹
a₃ = (2/3) · (-2)²
a₃ = (2/3) · (4)
a₃ = 8 / 3
The third term of the geometric sequence will be 8/3.
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the width of a rectangle is 6n - 3.5 feet and the length is 3.5n + 7 feet
The perimeter of the rectangle is 19n + 7.
How to find the perimeter of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
w = 6n - 3.5
l = 3.5n + 7
Hence,
perimeter of a rectangle = 2(6n - 3.5 + 3.5n + 7)
perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)
perimeter of a rectangle = 2(9.5n + 3.5)
perimeter of a rectangle = 19n + 7
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2 copies of 1/10 write fraction for each statement
2 copies of 1/10 can be written as 2/10
What is a fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here 2 copies of 1/10 thus 2×1/10=2/10
=1/5
Hence, 2 copies of 1/10 can be written as 2/10
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Jim purchased x iced teas and y soft pretzels at a cricket game. He spent a
total of $32. The equation below describes the relationship between the
number of iced teas and the number of soft pretzels purchased.
3x+2y=32
The ordered pair (4, 10) is a solution of the equation. What does the solution
(4, 10) represent?
HELPPPP
The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.
How to solve linear equation word problems?The equation that describes the relationship between the
number of iced teas and the number of soft pretzels purchased is;
3x + 2y = 32
Where;
x represents the iced teas.
y represents soft pretzels at a cricket game
Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;
x = 4 and y = 10 is a solution.
What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game
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Without graphing, find the slope of the line that goes through (-3,-2) and (-1,-5)
1. Jason made 3 quarts of corn chowder. He divided it into serving sizes of 1 12 cups each. How many 1 12 -cup servings can be made from 3 quarts of chowder? A. 4 12 servings B. 8 servings C. 12 servings D. 18 servings
Answer:
B. 8 servings
Step-by-step explanation:
1 quart = 4 cups
3x4=12
3 quarts of clam chowder = 12 cups of chowder
1 1/2 cups each
12 divided by 1 1/2 = 12 divided by 3/2 = 12 divided by 2/3 = 8 servings
It took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, what was Luca's average trip?
-process
Luca's average trip will be 58 miles per hour.
How to calculate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
In this case, it took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, Luca's average trip will be:
= Distance / Time
= 464 / 8
= 58 miles per hour.
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What is the value of the expression below when x=2x=2?
8x^2 +6x-8
8x
2
+6x−8
The value of the expression 8x² + 6x - 8 below when x=2 is 36.
The value of the expression when x = 2The expression can be evaluated by following the steps below:
8x² + 6x - 8 in x = 2 means that the variable x will be replaced by the given number which is 2.
8*2² + 6*2 - 8
8*4 + 12 - 8
32 + 16 - 8 = 36
This therefore means that when x= 2 in 8x² + 6x - 8 , the value gotten will be 36.
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Simplify 3.5m(3m + 1.8) using the distributive property.
10.5m + 6.3m
10.5m + 1.8
10.5m2 + 6.3m
10.5m2 + 1.8
Answer:
3.5m(3m + 1.8)
10.5m^2+6.3m
Step-by-step explanation:
Graph y = - 1/2x + 3 use the line tool and select two points on the line
The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image
How to graph the equation of a line?y = - 1/2x + 3
In order to graph the equation of the line:
First, find the value of x when y = 0:
y = - 1/2x + 3 , when y = 0:
0 = - 1/2x + 3
1/2x = 3
x = 3 × 2
x = 6
Also, find the value of y when x = 0:
y = - 1/2x + 3, when x = 0:
y = - 1/2(0) + 3
y = 3
Therefore, the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached
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Twelve out of Sixty students are trying out for the spring musical. What is the percentage of students trying out for the musical?
If Twelve out of Sixty students are trying out for the spring musical, the percentage of students trying out for the musical is , 20%.
What are percentages?In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
Why are percentage representations important?The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
In above question, if Twelve out of Sixty students are trying out for the spring musical, we have,
Number of students trying out for the musical = 12
Total number of students = 60
Percentage of students trying out for the musical is , [tex]\frac{12}{60} *100[/tex] = 20%
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