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Nesterboy [21]
2 years ago
12

Sally can paint a room in 5 hours while it takes Steve 7 hours to paint the same room. How long will it take them to paint the r

oom if they work together?
(Type an integer or decimal rounded to one decimal place as needed)
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
6 0
<h3>Answer:  2.9 hours approximately</h3>

=====================================================

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

--------------

Alternatively, you can solve the equation

\frac{1}{5} + \frac{1}{7} = \frac{1}{x}

And you should get roughly x = 2.9

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Answer:

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Step-by-step explanation:

The angle with a measure of 94° and the angle labeled "z" are vertical angles

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The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles

Supplementary angles add up to equal 180

Hence, 94 + 12x + 2 = 180

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Now we solve for x

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step 1 combine like terms

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step 2 subtract 96 from each side

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we now have 84 = 12x

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84 / 12 = 7

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we're left with x = 12

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