High School

Which expression represents 175 more than the quotient of 72 divided by 9?

A. \( 175 + \frac{72}{9} \)

B. \( 175 - \frac{72}{9} \)

C. \( \frac{72}{9} + 175 \)

D. \( 175 \times \frac{72}{9} \)

Answer :

Final answer:

To represent 175 more than the quotient of 72 divided by 9, one must first divide 72 by 9 to get 8, and then add 175 to this result. The correct expression is 72/9 + 175, which corresponds to option c.

Explanation:

The question asks us to find an expression that represents 175 more than the quotient of 72 divided by 9. First, to find the quotient of 72 divided by 9, divide 72 by 9, which equals 8. Then, to express 175 more than this quotient, you simply add 175 to it. Therefore, the correct expression is 72/9 + 175.

The options provided are:

  • a. 175+72/9
  • b. 175−72/9
  • c. 72/9+175
  • d. 175×72/9

Among these options, the correct one is c. 72/9+175 because it reflects the order of operations: division first, then addition.