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vlabodo [156]
4 years ago
13

The following table shows the length and width of two rectangles:

Mathematics
1 answer:
gladu [14]4 years ago
6 0
The perimeter of a rectangle is equal to two times the sum of the length and the width.
P=2(l+w)

Rectangle A:
l=3x+2 \\ w=2x-1 \\ \\
P_A=2(3x+2+2x-1)=2(5x+1)=10x+2

Rectangle B:
l=x+5 \\ w=5x-1 \\ \\
P_B=2(x+5+5x-1)=2(6x+4)=12x+8

The perimeter of rectangle B minus the perimeter of rectangle A:
P_B - P_A=12x+8-(10x+2)=12x+8-10x-2=\boxed{2x+6}
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Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
SashulF [63]

Answer:

The equations are:

4H + 3P = 13.75

2H + 5P = 11.25

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Pretzel = 1.25

Step-by-step explanation:

Let:

H = hot\ dog

P =Pretzel

For Tina:

4H + 3P = 13.75

For Doug:

2H + 5P = 11.25

Solving for the price of both items:

We have:

4H + 3P = 13.75 --- (1)

2H + 5P = 11.25 --- (2)

Multiply (2) by 2

2 * (2H + 5P = 11.25)

-------------------

4H + 10P = 22.50 --- (3)

Subtract (3) from (1)

4H + 3P = 13.75

4H + 10P = 22.50

----------------------

4H - 4H + 3P - 10P = 13.75 - 22.50

3P - 10P = 13.75 - 22.50

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P = \frac{-8.75}{-7}

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Substitute 1.25 for P in (2)

2H + 5P = 11.25

2H + 5 * 1.25 = 11.25

2H + 6.25 = 11.25

Collect Like Terms

2H = 11.25-6.25

2H = 5

Solve for H

H = \frac{5}{2}

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