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storchak [24]
3 years ago
12

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 sq. Feet. The width of the basement

is 2/3 its length What is the length of Louis's basement.
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

36 ft  

Step-by-step explanation:

A = lw

Data:

A = 864 ft²

 l = length of basement

w = ⅔l

Calculations:

864 = l × ⅔l

864 = ⅔l²

Multiply each side by 3:               2592 = 2l²

Divide each side by 2:                  1296 = l²

Take the square root of each side:     l = 36

The length of the basement is 36 ft.

Check:

w = ⅔l = 24 ft

864 = 36 × 24

864 = 864

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Answer:

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Step-by-step explanation:

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Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

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Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

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4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

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D. You are running a 4500-foot race. How much farther
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Step-by-step explanation:

4500 minus 2000 = 2500

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Answer:

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Step-by-step explanation:

A=1/2bh

Multiply each side by 2

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Divide each side by b

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