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Rina8888 [55]
3 years ago
7

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50.00 for 8 hours. Explain why the relationship between

how much Steven charges and time is a proportional relationship.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

because 31.25: 5 and 50.00:8 is equivalent. Try to make the hour to 1 and see how much money he gets. so you divide 5 by 5 and 31.25 by 5 which is

6.25:1; that means each hr he gets

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Cari drew a line that was 9 inches long. She divided the line into 10 equal-length segments.
vivado [14]
Hello!

You divide how long the line is by the amount of segments

9 / 10 = 0.9

The answer is 0.9 inches long

Hope this helps!
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3 years ago
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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

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3 years ago
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Answer:

2.5 x 0.27 =

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hope dis helps ^-^

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levacccp [35]

20.21 multiplied by 999.801 is 20,205.97821, so the correct answer would be A. about 20,000

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Answer:

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