2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class​

Answers

Answer 1

No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.

THE EQUATION REPRESENT SITUATION BY VARIABLE

The equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.

The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.

On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.

Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.

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Related Questions

what are the coordinates of the center of the center and the length of the radius of the circle whose equation is x^2 y^2

Answers

The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.

What is circle?

A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.

Here,

x²+6x+9-9+y²-4y+4-4=23

(x+3)²-9+(y-2)²-4=23

(x+3)²+(y-2)²=36

(x+3)²+(y-2)²=6²

center=(-3,2)

radius=6

The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.

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6) The area of a triangle is A = bh-2. If the base (b) is H untis and the
height (h) Is 7 units, what is the area of the triangle?
I

Answers

Answer:

The area of a triangle can be calculated using the formula A = 1/2 * b * h, where b is the base and h is the height of the triangle. In this case, if the base of the triangle is H units and the height is 7 units, the area of the triangle would be A = 1/2 * H * 7 = 3.5 * H.

Step-by-step explanation:

Misha says that if a line crosses the x-axis before it crosses the y-axis, the
values of m and b in its equation will both be positive. Is she correct?

Answers

No, Misha is not correct in her statement that the equation will be positive.

Define Slope.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

What are coordinate pairs?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

No, Misha is not correct. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. A line can cross the x-axis before it crosses the y-axis, and the values of m and b in its equation can still be either positive, negative or zero.

For example, a line with the equation y = -2x + 1 will cross the x-axis at x = 1/2 and y-axis at (0,1) , so it crosses x-axis first but both m and b have negative values (-2 and 1 respectively).

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If jimmy buys 5 apples and gets eaten alive by ___ How many apples does he have left?

Answers

The number of apples that he has left will be 2 apples.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If jimmy buys 5 apples and gets 3 apples eaten alive by him.

Then the number of apples that he has left will be given by subtracting 3 from 5. Then the expression is given as,

⇒ 5 - 3

⇒ 2

The number of apples that he has left will be 2 apples.

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The complete question is given below.

If jimmy buys 5 apples and gets 3 apples eaten alive by him. How many apples does he have left?

Is 5'2 a solution to a system of equations?

Answers

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

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For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25

B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes

Please help!!!

Answers

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

2x-(x+5)=-1
Solve for x.

Answers

Answer:

x=4

Step-by-step explanation:

2x-(x+5)=-1

Solve for x

Distribute the minus sign

2x-x-5=-1

Combine like terms

x -5 = -1

Add 5 to each side

x-5+5 = -1+5

x=4

[tex]2x-(x+5)=-1[/tex]

Distribute negative sign:

[tex]2x+-1(x+5)=-1[/tex]

[tex]2x+-x+-5=-1[/tex]

Combine Like Terms:

[tex](2x+-x)+(-5)=-11[/tex]

[tex]x-5=-1[/tex]

Add 5 to both sides:

[tex]x-5+5=-1+5[/tex]

[tex]\fbox{x = 4}[/tex]

How do you know if you add or subtract in elimination?

Answers

When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations.

Which of the following would NOT cast doubt of the usefulness of sample? data? Choose the correct answer below.
a. Order of questions in a survey
b. Missing data
c. Nonresponse
d. An effective sampling method

Answers

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-10p - 0. 7q) – 4. 6

Answers

After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

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Select the correct answer. Vector u has its initial point at (1, -12) and its terminal point at (18,6). Vector v points in a direction opposite that of u, and its magnitude is three times the magnitude of u. What is the component form of vector v? A. v=(-51, -54) B. v=(-51, 18) C. v=(51, -54) v=(51, -18) D.

Answers

Refer to the image attached.

What should be added to 7x^2 5x 1 to get 3x^2 4x 7?

Answers

The value should be added will be [tex]y = -4x^{2} +9x+6[/tex]

Now, According to the question:

Let the value y be added to  [tex]7x^2-5x+1[/tex] to give [tex]3x^2+4x+7[/tex]

y =  [tex]3x^2+4x+7[/tex] - ( [tex]7x^2-5x+1[/tex])

y = [tex]3x^{2} +4x+7-7x^{2} +5x-1[/tex]

Combine like terms:

y = [tex]3x^{2} -7x^{2} +4x+5x+7-1[/tex]

Calculate the subtraction and addition.

[tex]y = -4x^{2} +9x+6[/tex]

Hence, The value should be added will be [tex]y = -4x^{2} +9x+6[/tex].

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The complete question is this:

What should be added to  [tex]7x^2-5x+1[/tex] to get [tex]3x^2+4x+7[/tex] ?

find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 3

Answers

The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³  .

Let the half height of of the cylinder be = h ;

we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,

In order to find the Volume of cylinder , we multiply the area of  top with the total height of cylinder .

So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]

Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];

Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]

Now ,  we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get  derivative.

So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,

On simplifying further ,

we have ,

Volume of Largest Right Circular Cylinder  ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;

it is given that radius of sphere is = 3 cm ,

Substituting value of radius in Volume formula ,

we get ,

V =  [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;

V = 65.2636 cm³

V ≈ 65.3 cm³.

Therefore , the volume of the largest right circular cylinder is 65.3 cm³.

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7•e^.1t =47 express the solution as a logarithmic in base e

Answers

Answer:

The value of t is 19.04

Step-by-step explanation:

[tex]7e^{0.1t} = 47\\[/tex]

[tex]e^{0.1t} = \frac{47}{7}[/tex]

take log both sides :

[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]

At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )

Answers

The measurements are found using congruency.

What does congruency mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

It is given that ABCD ≅ EFGH :

According to congruency,

22. AD = EH, so AD = 335 ft.

23. GH= CD, so GH = 45ft.

24. m∠GHE = m∠CDA, so m∠GHE= 52°

25. m∠BAD= m∠FEH, so m∠BAD= 52°

26. EF= AB, so EF= 45ft

27. BC= FG, so BC= 280ft

28. m∠DCB= m∠HGF, so m∠DCB= 128°

29. m∠EFG= m∠ABC, so m∠EFG= 128°

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In Lewis County , there were 2 , 277 student athletes competing in spring sports in 2014 . That was 110% of the number from 2013, which was 90% of the number from the year before. How many student athletes signed up for a spring sport in 2012

Answers

In the spring of 2012, 2300 student athletes participated in a sport.

How do I calculate a percentage?

The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

In 2014, there were 2277 student athletes participating in spring sports.

Suppose there were x contestants in 2013.

The answer was 2277, which was 110 percent more pupils competing in 2014 than in 2013. So,

[tex]$110 \%$ of $\mathrm{x}=2277$$\frac{110}{100} \times \mathrm{x}=2277$$\mathrm{x}=\frac{2277 \times 100}{110}$$\mathrm{x}=2070$[/tex]

2070 pupils therefore competed in 2013.

Let y be the student who will be vying in 2012.

Now, the number of pupils competing in 2070 was 90% that of the year 2012's.

So,

[tex]$90 \%$ of $y=2070$$$\begin{aligned}& \frac{90}{100} \times y=2070 \\& y=\frac{2070 \times 100}{90} \\& y=2300\end{aligned}$$[/tex]

As a result, 2300 students competed in the 2012 competition.

Therefore, the answer is 2300.

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Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches

Answers

Answer:

Step-by-step explain

We know that the campsite is 65 miles north of her town.

There are 63,360 inches in a mile

so, if you multiply it would look like

63,360 x 65 = 4,118,400

so, your answer would be 4,118,400 inches

What are the 15 types of angles?

Answers

There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles,  Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.

It's important to note that this is not an exhaustive list and the classification may vary depending on the context.

Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.

There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.

Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.

Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.

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Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost of each item.

Answers

Answer:

granola bar: $1.50yogurt: $0.50

Step-by-step explanation:

You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.

Equations

The equations describing the relations can be written ...

  10g +6y = 18 . . . . . . . person A's purchase

  5g +4y = 9.50 . . . . . . person B's purchase

Solution

Subtracting half of the first equation from the second, we find ...

  (5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)

  y = 0.50 . . . . . . . . . . simplify

Substituting this into the first equation gives ...

  10g +6(0.50) = 18

  10g = 15 . . . . . . . . . . subtract 3

  g = 1.50 . . . . . . . . . divide by 10

Each granola bar costs $1.50; each cup of yogurt costs $0.50.

__

Additional comment

The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.

need help quickly
The polygons are similar. x = ___ Write your answer as a decimal

Answers

Answer:0.23

Step-by-step explanation:

Charles and wilma have diffrent internet providers. Charles pays $0. 25 per gigabyte of data. Wilma pays a flat fee of $20 and $0. 05 per gigabyte How many gigabytes of data must each use for charles internet bill to be equal to wilma's interet bill

Answers

100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

What is the Intercept of the equations?

Assume that there are x gigabytes of data.

The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.

The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.

Charles must pay the same amount for internet service as Wilma, so;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

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The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31

Answers

Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.

Define arithmetic mean.

When all of the values in a set of data have the same unit of measurement, such as when all of the numbers are heights, miles, hours, etc., this technique is utilized. Take the numbers 4, 7, 9, and 10 as an illustration. The count of numerals is 4, and the sum of the numbers is 30. 30 divided by 4 equals 7.5, which is the numbers' arithmetic mean.

Here,

Given that there is a common difference between each word, this is an arithmetic sequence. In this instance, the following term is obtained by adding 9 to the phrase before it in the sequence.

Alternatively put,

=> an=a1+d(n−1)

.Arithmetic Sequence:

d=9

This is the formula of an arithmetic sequence.

=>an=a1+d(n−1)

Substitute in the values of

=> a1 =4 and

d=9

.=>an=4+9(n−1)

Simplify each term.

Tap for more steps...

an=4+9n−9

Subtract 9 from 4

an=9n−5

Thus 30th term :

=> a(30)=9(30)−5

=> a(30) = 265

Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.

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1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12

Answers

Answer:

2, cause it shows a different function or pattern

a wall in marcus's bedroom is 8 2/25 feet high and 16 2/3 long. If he paints 1/2 the wall blue how many square feet will be blue

Answers

Answer: 66.70

Step-by-step explanation:

8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue  

What is the probability that andre olivia and zack all win gift cards that are at least $25

Answers

The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

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Math

A 6. 0 kg bowling ball traveling at 2 m/s strikes a 1. 5 kg bowling pin. Describe and compare the forces that act on the bowling ball and the bowling pin

during the collision.

Answers

By using formula and solving, Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

What is collision?

A collision is an event in which two or more objects come into contact with each other. In physics, a collision is defined as a rapid and forceful interaction between two or more objects that causes a transfer of energy. Collisions can be elastic or inelastic, depending on whether or not the total kinetic energy of the objects is conserved.

What is force?

Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, change its shape, or change its direction of motion. Forces can be categorized into different types, such as contact forces, which act when two objects are in contact, and non-contact forces, which act at a distance. Some examples of non-contact forces are gravitational force, electric force, and magnetic force.

To calculate the force of impact on the bowling ball and bowling pin during the collision, you can use the formula:

Force of Impact = Change in momentum / Time of collision

The change in momentum is given by the formula:

Change in momentum = Final momentum - Initial momentum

The initial momentum of the 6 kg bowling ball traveling at 2 m/s is:

Initial momentum (ball) = 6 kg * 2 m/s = 12 kg*m/s

The final momentum of the bowling ball can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision. In this case, since the bowling pin is moving after the collision and the bowling ball is not, the final momentum of the bowling ball is zero.

Final momentum (ball) = 0

Change in momentum (ball) = Final momentum (ball) - Initial momentum (ball) = 0 - 12 kgm/s = -12 kgm/s

The force of impact on the bowling ball is:Force of impact (ball) = Change in momentum (ball) / Time of collision = -12 kg*m/s / t (t is the time of collision, assuming it's a short time)

Similarly, the initial momentum of the 1.5 kg bowling pin at rest is:

Initial momentum (pin) = 1.5 kg * 0 m/s = 0 kg*m/s

The final momentum of the bowling pin can be calculated using the conservation of momentum principle, which states that the total momentum of the system remains constant before and after the collision.

Final momentum (pin) = Initial momentum (ball) = 12 kg*m/s

Change in momentum (pin) = Final momentum (pin) - Initial momentum (pin) = 12 kgm/s - 0 kgm/s = 12 kg*m/s

The force of impact on the bowling pin is:

Force of impact (pin) = Change in momentum (pin) / Time of collision = 12 kg*m/s / t

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You need to put equation signs in between the 6. 1 gross = 144

Answers

The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Place the arithmetic symbol between the 6 times 6 to become one. Then we have

⇒ 6 + 6 - 6 - 6 + 6 / 6

⇒ 1

The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.

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Whats the value of x?

A. 12.73
B. 9
C. 25.46
D. 31.18

Answers

Answer:

if u feel like u find the value that is correct but if u didn't find it it can be 1 the power of x can be 1

Answer:

B.9

all done  hope it help

Hi! I need Help With The Bottom Answers Someone Already Answered The Top So Just The Bottom Questions!

Answers

Answer:
f. 4 + 4 = 8
f. 23 + 8 + 4 = 35
h. 53 + 3 + 28 = 84
i. 11 + 17+ 93 = 121
j. 24 + 8 + 3 = 35

Step-by-step explanation:
f. 4.112 rounded to the nearest whole number is
rounded to the nearest whole number is 4 because 1 doesn't round up the number. 3.89 rounded to the nearest whole number is 4 because any number equal to or greater than 5 rounds up the number in front of itself. 4 + 4 = 8

g. 23.14 rounded to the nearest whole number is 23 because 1 doesn't round up the number. 7.6 rounded to the nearest whole number is 8 because any number equal to or greater than 5 rounds up the number in front of itself. 3.67 rounded to the nearest whole number is 4 because any number equal to or greater than 5 rounds up the number in front of itself. 23 + 8 + 4 = 35.

h. 53.2 rounded to the nearest whole number is 53 because 2 doesn't round up a number. 3.08 rounded to the nearest whole number is 3 because 0 doesn't round up a number. 27.51 rounded to the nearest whole number is 28 because any number equal to or greater than 5 rounds up the number in front of itself. 53 + 3 + 28 = 84.

i. 11.08 rounded to the nearest whole number is 11 because 0 doesn't round up a number. 17.28 rounded to the nearest whole number is 17 because 2 doesn't round up a number. 92.6 rounded to the nearest whole number is 93 because any number equal to or greater than 5 rounds up the number in front of itself. 11 + 17+ 93 = 121

j. 24.08 rounded to the nearest whole number is 24 because 0 doesn't round up a number. 7.9 rounded to the nearest whole number is 8 because any number equal to or greater than 5 rounds up the number in front of itself. 3.06 rounded to the nearest whole number is 3 because 0 doesn't round up a number. 24 + 8 + 3 = 35.

F:4+4=8

A:23+8+4=35

H:53+3+28=84

I:11+17+93=121

I:24+8+3=35

I think that is all correct

Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4. 20.


Write and solve an equation to find the original price of the charging cord, x

Answers

The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

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