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Talja [164]
3 years ago
10

Susan is installing junction boxes in a living room wall which is 12 feet long. She has to install two boxes evenly spaced on th

e wall with the center point of the wall centered between the boxes (as if all arrows are equal in the picture below). The junction boxes are 4 11/16 inches wide. How much wall space will be between the two boxes? (Answer should be a mixed number, not a decimal.)
Mathematics
2 answers:
krok68 [10]3 years ago
7 0
7 ft I’m guessing lol
zysi [14]3 years ago
7 0

Answer:

Wall space between two junction boxes is 44\displaystyle\frac{7}{8}\text{ inches}  

Step-by-step explanation:

We are given the following information:

Length of wall = 12 foot = 144 inches

Length of Junction box = 4\displaystyle\frac{11}{16}\text{ inches}

There are two junction boxes to be arranged.

Total length of junction boxes = 8\displaystyle\frac{11}{16}\text{ inches}

Space left:

\text{Length of wall} - \text{Length of junction boxes}\\= 144 -8\displaystyle\frac{11}{16}\\= \displaystyle\frac{2154}{16}

Now, this left space have to be distributed in three equal part so that the arrangement could be of the form: space, junction box, space, junction box, space.

Space = \displaystyle\frac{2154}{16} \div 3=\displaystyle\frac{2154}{48} = 44\displaystyle\frac{7}{8}

Hence, wall space between two junction boxes is 44\displaystyle\frac{7}{8}\text{ inches}

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Equation: SOLVE


Solution for 10=4(x-1)-(x-8) equation:

Simplifying
10 = 4(x + -1) + -1(x + -8)

Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)

Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
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Reorder the terms:
10 = -4 + 8 + 4x + -1x

Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x

Combine like terms: 4x + -1x = 3x
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Solving
10 = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
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Simplifying
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