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Salsk061 [2.6K]
3 years ago
13

Solve for t.

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

One solution was found :  t ≤ -13 (number 4)

Pull out like factors :

-3t - 39  =   -3 • (t + 13)

Divide both sides by  -3  

Remember to flip the inequality sign:  

Solve Basic Inequality :

Subtract  13  from both sides to get t≤−13

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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Debora [2.8K]

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

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p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

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2 years ago
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