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shepuryov [24]
2 years ago
9

The table shows how much a store charges for certain numbers of pencils. Number of pencils (p) Cost (c) 4 $0.72 7 $1.26 12 $2.16

Based on the table, which equation could be used to calculate the cost, c, of any number of pencils, p? A c = 0.09p B c = 0.18p C c = 0.54p D c = 0.72p ASAP SHOW YOUR WORK
Mathematics
1 answer:
Arada [10]2 years ago
7 0
Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b.  Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p  (cost with respect to pencils is 0.18 times the number of pencils)
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Solve for x.
victus00 [196]
The answer is 370 because you need to work it out.

Basically what I did was look at the first number, 12, and the answer to the equation and saw that 12 x 10 would be 120. And 360 + 10 would be 370.

It fits in perfectly.

12(370 - 360) = 120
370 - 360 = 10
12(10) = 120

So x = 370
8 0
3 years ago
2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
nika2105 [10]

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

5 0
2 years ago
Solve the right triangle. Round decimal answers to the nearest tenth. find the sides and angles
babymother [125]

Answer:

b = 12.6

Step-by-step explanation:

a*2 + b*2 = c*2

6*2 + b*2 = 14*2

36 + b*2 = 196

Subtract 36 from both sides

36 + b*2 = 196

-36             -36

b*2 = 160

Find the square root of both

b = 12.64911064  or 12.6

4 0
3 years ago
The length of a rectangle is 5 inches shorter than double its width. The perimeter of the rectangle is 192 inches. Write a two-s
alukav5142 [94]

Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

8 0
2 years ago
PLEASE HELP ANYONE ASAP?!!!!!!
VMariaS [17]

Answer:

The answer is 3x because 3 times 4 is 12, and 12+3=15.

7 0
2 years ago
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