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likoan [24]
3 years ago
13

Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer

than width. What is the width of the patio?
Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0
A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft
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Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how
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Given:

Bobby put 1/3 of his lawn mowing money into his savings

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Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

x-\dfrac{1}{3}x=\dfrac{2}{3}x

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Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x

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It is given that the remaining amount is $12.

12=\dfrac{2x}{5}

12\times 5=2x

60=2x

Divide both sides by 2.

\dfrac{60}{2}=x

30=x

Therefore, Bobby have $30 at first.

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