Respuesta :
Answer:
[tex]14\frac{21}{40}[/tex] 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:
[tex]17\frac{1}{2}\times 0.17[/tex]
[tex]\frac{35}{2}\times \frac{0.17*100}{100}[/tex]
[tex]\frac{35}{2}\times \frac{17}{100}[/tex]
[tex]\frac{7}{2}\times \frac{17}{20}[/tex]
[tex]\frac{119}{40}[/tex]
Now, we will subtract the weight on Zack's dog on moon from its weight on earth as:
[tex]17\frac{1}{2}-\frac{119}{40}[/tex]
[tex]\frac{35}{2}-\frac{119}{40}[/tex]
[tex]\frac{35*20}{2*20}-\frac{119}{40}[/tex]
[tex]\frac{700}{40}-\frac{119}{40}[/tex]
[tex]\frac{700-119}{40}[/tex]
[tex]\frac{581}{40}[/tex]
[tex]14\frac{21}{40}[/tex]
Therefore, the weight of Zack's dog is [tex]14\frac{21}{40}[/tex] pounds more on earth than moon.
