Question

A U.S. dime has a thickness of 1 7/20 millimeters. Gary has a stack of dimes 78 3/10 millimeters tall. How many dimes does he have?

A. What is the value of the dimes?

B. Each dime weighs 2.269 grams. What is the mass of the entire stack of dimes?

HELP QUICK PLEASE!!!!

Answer 1

58 number of dimes.

A. $5.8

B. 131.602 grams.

Explanation:

A U.S. dime has a thickness of
`1(7)/(20) = 1.35` mm.

Now, Gary has a stack of dimes that is
`78(3)/(10) = 78.3` mm in height.

Therefore, Gary has
`(78.3)/(1.35) = 58` dimes in total.

A. Now, each dime is equivalent to $0.1.

Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.

B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)