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A person weighs 100 pounds on Earth would weigh 37 7/10 pounds on Mars. If m represents a person's weight in pounds, on Mars, which proportion could you solve to determine the weight on Mars of a person who weighs 160 2/5 on earth?

A person weighs 100 pounds on Earth would weigh 37 710 pounds on Mars If m represents a persons weight in pounds on Mars which proportion could you solve to det class=

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absor201

Answer:

The proportion we can use is:

m/ 160 2/5 = 37 7/10 /100

The weight on Mars of a person is 60.4708

Step-by-step explanation:

If a person weighs 100 pounds on earth would weigh 37 7/10 pounds on mars.

We can write it as:

37 7/10 / 100

Now m represents a person's weight on Mars if a person weighs 160 2/5 on earth.

Write it as:

m / 160 2/5

In proportion we can write it as:

37 7/10 /100 = m/ 160 2/5

OR

m/ 160 2/5 = 37 7/10 /100

Now to solve for m first change the whole fractions into improper fraction.

m/802/5 = 377/10/100

m/ 160.4 = 37.7/100

Now perform cross multiplication:

100m = 37.7 * 160.4

100m = 6047.08

Divide both sides by 100

100m/100= 6047.08/100

m = 60.4708

The weight on Mars of a person is 60.4708...

luisejr77

Answer: Option A

Step-by-step explanation:

We call m the weight of a person on Mars.

We know that a person weighs 100 pounds on Earth would weigh 37 7/10 pounds on Mars.

Then we use this data as a conversion factor.  [tex]\frac{37\frac{7}{10}\ pounds}{100\ pounds}[/tex]

We seek to determine the weight on Mars of a person who weighs 160 2/5 on earth

Then we solve the following operation:

[tex]weigh\ on\ Earth *\frac{weigh\ on\ Mars}{weigh\ on\ Earth}=m[/tex]

This is:

[tex]160\frac{2}{5} *\frac{37\frac{7}{10}\ pounds}{100\ pounds}=m[/tex]

Now multiply by [tex]\frac{1}{160\frac{2}{5}}[/tex] on both sides of equality

[tex]\frac{m}{160\frac{2}{5}}=\frac{37\frac{7}{10}\ pounds}{100\ pounds}\\\\[/tex]

The answer is the option A

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