an astronaut who weighs 85 kilograms on the earth weighs 14.2 kilograms on the moon. how much would a person weigh on the moon if they weigh 95 kilograms on earth? round your answer to the nearest tenth.
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To find out how much a person would weigh on the moon if they weigh 95 kilograms on Earth, we can use the proportion:
(Earth weight of astronaut) / (Moon weight of astronaut) = (Earth weight of person) / (Moon weight of person)
Substituting the given values:
85 / 14.2 = 95 / (Moon weight of person)
Solving for the Moon weight of the person:
(Moon weight of person) = (95 * 14.2) / 85
(Moon weight of person) ≈ 15.9 kilograms
Therefore, a person who weighs 95 kilograms on Earth would weigh approximately 15.9 kilograms on the moon.
To find out how much a person would weigh on the moon if they weigh 95 kilograms on Earth, we can set up a proportion.
Let's call the weight on the moon "w". We know that the weight on the Earth is 95 kilograms. We also know that the weight on the moon is 14.2 kilograms.
Using the proportion: Earth weight / Moon weight = Earth weight / Moon weight
We can plug in the known values: 95 / 14.2 = 85 / w
To solve for "w", we cross multiply:
95w = 14.2 * 85
Divide both sides of the equation by 95:
w = (14.2 * 85) / 95
Now we can calculate the weight on the moon:
w ≈ 12.68421 kilograms
Round to the nearest tenth: 12.7 kilograms
Therefore, a person with an Earth weight of 95 kilograms would weigh approximately 12.7 kilograms on the moon.