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olga2289 [7]
3 years ago
12

An astronaut visited mars. his weight on earth was 180 pounds, and his weight on mars was only 72 pounds. he removed a rock with

a weight of 16 pounds on mars. what is the weight of the rock on earth?
Mathematics
2 answers:
Anton [14]3 years ago
3 0
The question given above may be answered through the concept of ratio and proportion. The ratio of the man's weight on Earth and Mars should be equal to the ratio of the rock's weight on Earth and Mars. By letting x be the rock's mas on Earth, the equation that would best represent the situation is,
                          180 / 72 = x / 16
The value of x is equal to 40. Thus, the rock weighs 40 pounds on Earth. 
pogonyaev3 years ago
3 0
So here is how we are going to get the answer. Given that the astronauts weight is 180 pounds on earth and 72 pounds in mars, we can put it like this: 180:72. If a rock is 16 pounds on mars, we are going to find the weight of the rock on earth by cross multiplication. So, 180 : 72 is to ? : 16. So the answer would be 40. The answer therefore would be 40 pounds. Hope this helps.
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Dahasolnce [82]

Answer:

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8 0
3 years ago
Can somebody help me with my social studies?
nata0808 [166]

Answer:

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8 0
3 years ago
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

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Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe
Naddik [55]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32

he then turns around and grabs that money and sticks it for another 9 years,

\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64

add both amounts, and that's how much is for the whole 21 years.
6 0
4 years ago
Find the exact length of the third side.
malfutka [58]

Answer:

5sqrt3

Step-by-step explanation:

Using the pythagorean theorem, we have a^2+4^2=9^2

a^2 + 16 = 81

a^2 = 75.

a = sqrt75.

75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3

6 0
3 years ago
Read 2 more answers
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