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Goryan [66]
3 years ago
5

Complete the following equation using <, >, or = 120% ___ 1

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
To solve these types of problems, we need to convert the two values into the same form.  

We know that 1 = 1.00, as adding zeroes to the end of a decimal doesn't change the value.

To change a decimal into a percentage, we multiply the decimal by 100 and add a percent sign.  

1.00 * 100 = 100%

Therefore, 1 = 100%

Because 120% is greater than 100%, thus, 

120% > 1
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Answer:

Dorsey = 4.8 hours

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Step-by-step explanation:

It takes "x" hours for Dorsey

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Rate is inverse of time, so rates are:

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We know Rate * Time = Work

When together, it takes 4 hours to finish a work, so we can write:

(\frac{1}{x}+\frac{1}{5x})4=1

Solving for x, we get the time of Dorsey:

(\frac{1}{x}+\frac{1}{5x})4=1\\(\frac{1}{x}+\frac{1}{5x})=\frac{1}{4}\\\frac{5+1}{5x}=\frac{1}{4}\\\frac{6}{5x}=\frac{1}{4}\\5x=24\\x=4.8

Dorsey takes 4.8 hours alone

Campbell takes 4.8 * 5 = 24 hours alone

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3 years ago
find two consecutive even integers such that the smaller added to two times the larger gives a sum of 22
olchik [2.2K]
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GrogVix [38]

Answer:

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