MATH SOLVE

4 months ago

Q:
# The mass of Earth's moon is about 7 x 10 to the 22 power kilograms. The mass of Jupiter is about 1.89 x 10 to the 27 power kilograms The mass of Jupiter is about how many times the mass of Earth's moon?

Accepted Solution

A:

Answer:The mass of Jupiter is about 27,000 times the mass of Earth's moonStep-by-step explanation:Letx -----> the mass of Earth's moony ----> the mass of Jupiterwe have[tex]x=7*10^{22}\ kg[/tex][tex]y=1.89*10^{27}\ kg[/tex]we know thatTo know how many times the mass of Jupiter is approximately the mass of the earth's moon, divide the the mass of Jupiter by the mass of the earth's moon[tex]\frac{y}{x}[/tex]so[tex]\frac{1.89*10^{27}}{7*10^{22}}=\frac{1.89}{7}(\frac{10^{27}}{10^{22}})=0.27(10^{27-22})=0.27(10^{5})=27,000\ times[/tex]thereforeThe mass of Jupiter is about 27,000 times the mass of Earth's moon