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Debora [2.8K]
3 years ago
8

You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to i

nstall baseboards around the entire perimeter of the room except for a 312 -foot opening into the kitchen. How many linear feet of board must you purchase?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

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Subtract 3x from each side

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Add 10 to each side

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asambeis [7]
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Amy spent $60 at the store
Margarita [4]

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1 point<br> Solve: 0.75 (x + 200) = 150.5 (2 – 28)<br> type your answer...
adelina 88 [10]

Answer:

\huge \: x =  - 5417.33

Step-by-step explanation:

0.75 (x + 200) = 150.5 (2 – 28) \\

<u>Expand the terms and simplify</u>

That's

0.75x + 150 = 301 - 4214 \\ 0.75x + 150 =  - 3913

Subtract 150 from both sides of the equation

0.75x + 150 - 150 =  - 3913 - 150 \\ 0.75x =  - 4063

<u>Divide both sides by 0.75</u>

\frac{0.75x}{0.75}  =  -  \frac{4063}{0.75}  \\ x =  - 5417.333333

We have the final answer as

<h3>x = - 5417.33 </h3>

Hope this helps you

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Rufina [12.5K]
Well on this problem recall area of a rectangle is defined by:

A = lw    our w = 1/6 and our l = (x + \frac{2}{3})   we have let 'x' represent our original length.
(x +  \frac{2}{3} )( \frac{1}{6} )= \frac{11}{72}
\frac{1}{6} x+ \frac{2}{18} = \frac{11}{72}
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12x = 11 - 8
12x = 3
x = \frac{3}{12} = \frac{1}{4}  So our original length is \frac{1}{4}
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3 years ago
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