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3 years ago

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Plsss help 6th grade math

1 answer:

nignag [31]3 years ago

4 0

Answer:

The correct answer is C! :)

Step-by-step explanation:

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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:

$W = 1.19$

7 0

3 years ago

The distance between -2 and 4 on the number line can be found by which expression

Dahasolnce [82]

4 - -2

,...........................

6 0

3 years ago

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What is the measure, in degrees, of an angle that represents 50/350 of a circle?

JulsSmile [24]

Answer:

$\mathrm{A.\: 50^{\circ} }$

Step-by-step explanation:

Since there are 360 degrees in a circle, we can set up the following proportion:

$\frac{50}{360}=\frac{x}{360},\\360x=50\cdot 360,\\x=\boxed{50}$

8 0

3 years ago

How much money left after spending $8, $7 and $13, then received $10 and spent $15. now $12 is left. how much money did one have

Inessa [10]

$8 + $7 + $13 + 15 = $43
$x - $43 = $12
x = $55

i am a mathematics teacher. if anything to ask please pm me

4 0

3 years ago

Catherine owns $22.50 on her lunch account balance. She pays $15 toward her balance. What is the status of her account balance n

Alex777 [14]

Answer:

22.50

- 15.00

_______

7.50

Step-by-step explanation:

She still owes $7.50

6 0

3 years ago

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