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3 years ago

9

Simplify(a + 2b +30) - (40+36-5a)

1 answer:

Crazy boy [7]3 years ago

3 0

Step-by-step explanation:

(a+2b+30)-(40+36-5a)
a+2b+30-40-36+5a
6a+2b-46

hope it helps.

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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

Please solve for x will mark brainliest answer

inna [77]

Answer:

x ≥ - 8

Step-by-step explanation:

Given

$\frac{x}{2}$ ≥ - 4

Multiply both sides by 2 to eliminate the fraction

x ≥ - 8

7 0

3 years ago

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stumpy the skeleton goes for a bike ride every night in the cemetery. He rides 1/2 way around the cemetery and stops. Stumpy the

marin [14]

He bikes 13/8 of the cemetery

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3 years ago

Use the diagram below to answer the question.

Lunna [17]

Answer:

The length of shadow is 69 foot.

Step-by-step explanation:

We are given a shadow of lighthouse.

Length of top of lighthouse to end of shadow is 90 ft.

Angle make at top of lighthouse is 50°

Distance from foot of lighthouse to end of shadow is x ft.

we need to find the length of shadow i,e x ft

Using trigonometry ration:

$\sin\theta=\dfrac{P}{H}$

$\sin50^\circ=\dfrac{x}{90}$

$x=90\times 0.766$

$x=68.94\approx 69\text{ ft}$

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231 students went on a field trip 9 buses were filled and 15 students traveled in cars how many students were in each bus

mote1985 [20]

$231 - 15 = 216 \\ 216 = 9x \\ x = 24$

8 0

3 years ago

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