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Viefleur [7K]
3 years ago
15

1- mass of earth is 1/95 of the mass of Saturn. if mass of earth is 5.97 x 10^24 kg.find mass of Saturn. show your all work out.

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

5.6715 * 10^26 kg

Step-by-step explanation:

Given that :

Mass of earth = 1/95 the mass of saturn

If Mass of earth = 5.97 x 10^24 kg

Let the mass of saturn = x

5.97 x 10^24 kg = 1/95 * x

5.97 x 10^24 kg = x / 95

x = 95 * 5.97 x 10^24 kg

x = 567.15 * 10^24

x = 5.6715 * 10^26 kg

Mass of saturn = 5.6715 * 10^26 kg

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Answer:

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Step-by-step explanation:

First, distribute:

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Next, subtract \frac{1}{5}x from both sides:

-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}

(multiply \frac{1}{5}x by 2 to get common denominator, \frac{2}{10} x )

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Next, subtract \frac{6}{10} from both sides:

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(multiply \frac{2}{5} by 2 to get common denominator, \frac{4}{10} )

-\frac{10}{10} =-\frac{1}{10} x ⇒ -1=-\frac{1}{10} x

Next, multiply both sides by 10:

-10=-x

FInally, divide both sides by -1:

x = 10

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