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Flauer [41]
3 years ago
12

5/8(16d + 24) = 6(d - 1) + 1

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

d=-5

Step-by-step explanation:

5/8(16+24)=6(d-1)+1

distribute 5/8 into (16d+24) and 6 into (d-1)

10d+15=6d-6

subtract 6d on both sides

10d-6d+15=-6

combine like terms

4d+14=-6

subtract 14 on both sides

4d=-20

divide both sides by 4

\frac{4d}{4} =\frac{-20}{4}

d=-5

hope this helps

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Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

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1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

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