The sum of 4.6 and one-third a number is equal to at most 39.1. What are all the possible values of the number? Artem wrote the inequality 13n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤11.5 n less than or equal to 11.5 n≤103.5 n less than or equal to 103.5 n≤112.7 n less than or equal to 112.7 n≤131.1

Question

The sum of 4.6 and one-third a number is equal to at most 39.1. What are all the possible values of the number? Artem wrote the inequality 13n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤11.5 n less than or equal to 11.5 n≤103.5 n less than or equal to 103.5 n≤112.7 n less than or equal to 112.7 n≤131.1

Answer 1

To solve the inequality 13n + 4.6 ≤ 39.1, we can subtract 4.6 from both sides:

13n ≤ 34.5

Then, we can divide both sides by 13:

n ≤ 34.5/13

Simplifying the division gives:

n ≤ 2.6538

Since we are dealing with a whole number, we can conclude that the possible values for the number are:

n ≤ 2.6538 rounded down to the nearest whole number

Therefore, the correct response is:

n ≤ 2