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Ksju [112]
3 years ago
12

Write the ratio as a fraction in simplest form: 4ft : 2.4ft

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
The answer would be 12:7 . You have to change feet into inches and calculate it from there . Doing that would get you 48:28 and if you put it into simplest form it'd be 12:7 dividing both by 4.
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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} <em>// multiply by 105x both sides.</em>

105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

7x - 105 = 3x<em> //substract 3x and add 105 in both sides</em>

7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

4x =  105 <em>//</em> <em>divide by 4 in both sides</em>

\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

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

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