Question

Four-fifths of a number minus 12 is more than 24.85. What are all the possible values of the number? Write an inequality that could be used to solve this problem.(1 point)
Responses

12−45n>24.85
, where n
is equal to the number.
12 minus Start Fraction 4 over 5 end fraction n greater than 24.85 , where n is equal to the number.

45n−12>24.85
, where n
is equal to the number.
Start Fraction 4 over 5 end fraction n minus 12 greater than 24.85 , where n is equal to the number.

12−45n≤24.85
, where n
is equal to the number.
12 minus Start Fraction 4 over 5 end fraction n less than or equal to 24.85 , where n is equal to the number.

45n−12≤24.85
, where n
is equal to the number.

Answer 1

To express the condition "four-fifths of a number minus 12 is more than 24.85," we can set up the inequality as follows:

Let \( n \) be the number. Then, four-fifths of the number is \( \frac{4}{5}n \).

The inequality can be written as:

\[
\frac{4}{5}n - 12 > 24.85
\]

Therefore, the correct response that represents this inequality is:

**Start Fraction 4 over 5 end fraction n minus 12 greater than 24.85, where n is equal to the number.**