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elixir [45]
3 years ago
13

The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
P = 2(L + W)
P = 86
L = W + 11

86 = 2(W + 11 + W)
86 = 2(2W + 11)
86 = 4W + 22
86 - 22 = 4W
64 = 4W
64/4 = W
16 = W

L = W + 11
L = 16 + 11
L = 27 <====
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What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
andrew11 [14]
Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

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Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

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Step 4. Cancel 1 on both sides

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Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

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Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








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