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Oxana [17]
3 years ago
15

An astronaut weighs 170 pounds on Earth but only 68 pounds on Mars. While visiting the planet, the astronaut removes a rock samp

le that weighs 25 pounds on Mars.
What is the weight of the rock sample on Earth?
Help me solve.


a. 0.22
b. 4
c. 0.5
d. not enough info.
Mathematics
2 answers:
Serjik [45]3 years ago
6 0

Answer: 62.5 pounds

Step-by-step explanation:

Given: An astronaut weighs 170 pounds on Earth but only 68 pounds on Mars.

The weight of the rock sample on Mars = 25 pounds

Since the  "Weight of object on Mars"is directly proportional to "Weight of object on Earth".

\Rightarrow\ \dfrac{\text{Weight of rock sample on Earth }}{\text{Weight of rock sample on Mars}}=\dfrac{\text{Weight of astronaut on Earth}}{\text{Weight of astronaut on Mars}}\\\\\\\Rightarrow\ \dfrac{\text{Weight of rock sample on Earth }}{25}=\dfrac{170}{68}\\\\\\\Rightarrow\ \text{Weight of rock sample on Earth }=\dfrac{170\times25}{68}=62.5

Hence, the eight of the rock sample on Earth = 62.5 pounds

kipiarov [429]3 years ago
4 0
The ratio of the man's weights on Earth and Mars should be equal to the ratio of the rocks weight on Earth and Mars. By letting x be the stone's weight on Earth, the equation that best describe the condition is,
                      (170 pounds / 68 pounds) = (x pounds / 25 pounds)
The value of x is 62.5 pounds. If the units of the choices in the pounds then, it is not among the choices. 
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3 years ago
6.81 is what percent of 45.5
frosja888 [35]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 45.5 is 100%, so we can write it down as 45.5=100%.

4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.

5. Now we have two simple equations:

1) 45.5=100%

2) x=6.81%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

45.5/x=100%/6.81%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for what is 6.81% of 45.5


45.5/x=100/6.81

(45.5/x)*x=(100/6.81)*x       - we multiply both sides of the equation by x

45.5=14.684287812041*x       - we divide both sides of the equation by (14.684287812041) to get x

45.5/14.684287812041=x

3.09855=x

x=3.09855

now we have:

6.81% of 45.5=3.09855

Hope this helps!

4 0
3 years ago
Read 2 more answers
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