an object that weighs 1 pound on Earth weighs only 0.17 pound on the moon. zacks dog weighs 17 1/2 pounds on earth. how much does his dog weigh on the earth than tye moon ?
Answer:
\(14\frac{21}{40}\) pounds.
Step-by-step explanation:
We have been given that an object that weighs 1 pound on Earth weighs only 0.17 pound on the moon. Zack's dog weighs 17 1/2 pounds on earth.
First of all, we will find weight of Zack's dog on moon as:
\(17\frac{1}{2}\times 0.17\)
\(\frac{35}{2}\times \frac{0.17*100}{100}\)
\(\frac{35}{2}\times \frac{17}{100}\)
\(\frac{7}{2}\times \frac{17}{20}\)
\(\frac{119}{40}\)
Now, we will subtract the weight on Zack's dog on moon from its weight on earth as:
\(17\frac{1}{2}-\frac{119}{40}\)
\(\frac{35}{2}-\frac{119}{40}\)
\(\frac{35*20}{2*20}-\frac{119}{40}\)
\(\frac{700}{40}-\frac{119}{40}\)
\(\frac{700-119}{40}\)
\(\frac{581}{40}\)
\(14\frac{21}{40}\)
Therefore, the weight of Zack's dog is \(14\frac{21}{40}\) pounds more on earth than moon.