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

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

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 set up the inequality based on the given information, we start with the phrase "four-fifths of a number minus 12 is more than 24.85".

This translates to the following mathematical expression:

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

So, the correct inequality that can be used to solve this problem is:

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

Now, looking at the options provided in your question, the correct response would be:

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