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)

Question

Responses

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.
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 greater than 24.85 , where n is equal to the number.

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

Answer 1

To translate the statement "Four-fifths of a number minus 12 is more than 24.85" into an inequality, we can set \( n \) as the number. The phrase "four-fifths of a number" can be expressed as \( \frac{4}{5}n \).

Then, the statement becomes:

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

This means the correct inequality is:

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

Thus, the answer response that matches this inequality is:

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