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3 years ago

0.04 is 1/10 of what number

1 answer:

5 0

If you would like to calculate 1/10 of what number is 0.04, you can do this using the following steps:

1/10 of what number is 0.04
1/10 * x = 0.04 /*10
x = 0.04 * 10
x = 0.4

Result: 1/10 of 0.4 is 0.04.

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Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying

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Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

$\frac{1}{15}-\frac{1}{x} = \frac{1}{35}$ // multiply by 105x both sides.

$105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35}$ // simplifly

$7x - 105 = 3x$ //substract 3x and add 105 in both sides

$7x - 3x - 105 + 105 = 3x - 3x + 105$ // solve

$4x = 105$ // divide by 4 in both sides

$\frac{4x}{4} = \frac{105}{4}$ // solve

$x = 26.25$

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

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3 years ago