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3 years ago

12

How can proportional reasoning help solve a problem?

1 answer:

Anestetic [448]3 years ago

6 0

Answer: Proportional reasoning compares ratios to answer questions.

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The graph shows the amount of rainfall in a town in July over a

Rus_ich [418]

Answer:30%

Step-by-step explanation:

4 0

3 years ago

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:

$W = 1.19$

7 0

3 years ago

Which undefined term can contain parallel lines?

dusya [7]

Point I think is the anwser

6 0

3 years ago

Are the functions linear or nonlinear?

inna [77]

Linear. They all follow the format y=mx+c wether or not they have been rearranged.

5 0

3 years ago

Read 2 more answers

Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost i

Delvig [45]

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

$\text{Amount paid for 5 avocados}=\$10-\$4.50$

$\text{Amount paid for 5 avocados}=\$5.50$

Now, we will divide $5.50 by 5 to find cost of each avocado.

$\text{Cost of each avocado}=\frac{\$5.50}{5}$

$\text{Cost of each avocado}=\$1.10$

Therefore, the cost of each avocado is $1.10.

3 0

3 years ago