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shepuryov [24]
3 years ago
9

Sally can paint the wall in 54 minutes. If Sally and Ethan work together, they can paint the wall in 36 minutes. How much time d

oes it take for Ethan to paint the wall by herself?
Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

108\ minutes

Step-by-step explanation:

1) we know that

Sally can paint the wall in 54 minutes

so

The 100% of the wall ------> she can paint in 54 minutes

by proportion

calculate how much is the percent of the work in 36 minutes

\frac{100\%}{54} =\frac{x\%}{36}\\ \\x=36*100/54\\ \\x=66.67\%

That means

Sally in 36 minutes can paint the 66.67% of the wall

2) Sally and Ethan work together, they can paint the wall in 36 minutes

so

Ethan in 36 minutes can paint (100%-66.67%)=33.33%

by proportion

Calculate how much time does it take for Ethan to paint the wall by herself

\frac{33.33\%}{36} =\frac{100\%}{x}\\ \\x=36*100/33.33\\ \\x=108\ minutes

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Step-by-step explanation:

First, we need to show the sum of Roger and Olivia's heights. If Roger is x and Olivia is y, the sum is <em>x+y</em>

Next, we need to double that. To double something we multiply it by 2. Since we need double the expression we found above, we put it in parentheses. So the doubled sum is shown as <em>2(x+y)</em>

Finally, we need to show that Isabella is 25 centimeters shorter than the doubled sum. To do that, subtract 25.

The final expression for Isabella's height is 2(x+y)-25

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3 years ago
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3 years ago
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iren2701 [21]

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2 years ago
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6 0
3 years ago
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