👤
Answered

The weight of an object on mars varies as its weight on earth. an object that weighs 115 kg on earth weighs 44 kg on mars. how much would a person weigh on mars if the person weighs 75 kg on earth?

Sagot :

Ginacalubay44go

answer:

28.7 kg

Step-by-step explanation:

Let e be the weight on Earth and m be the weight on Mars.

Finding the constant.

\begin{gathered}e = km \\ 115 = (k)(44) \\ 115 = 44k \\ \frac{115}{44} = \frac{44k}{44} \\ \frac{115}{44} = k\end{gathered}

e=km

115=(k)(44)

115=44k

44

115

=

44

44k

44

115

=k

Now, let's get m when e is equal to 75.

\begin{gathered}e = km \\ 75 = ( \frac{115}{44} )m \\ 75 = \frac{115}{44} m \\ \frac{75}{ \frac{115}{44} } = \frac{ \frac{115}{44}k }{ \frac{115}{44} } \\ \frac{3300}{115} = k \\ 28.7 = k\end{gathered}

e=km

75=(

44

115

)m

75=

44

115

m

44

115

75

=

44

115

44

115

k

115

3300

=k

28.7=k

Therefore, a person would weigh 28.7 kg on Mars if the person weighs 75 kg on Earth.

Go Training: Other Questions