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 1/3n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤103.5 n less than or equal to 103.5 n≤131.1 n less than or equal to 131.1 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5

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 1/3n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤103.5 n less than or equal to 103.5 n≤131.1 n less than or equal to 131.1 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5

Answer 1

To solve the inequality 1/3n + 4.6 ≤ 39.1, we can begin by subtracting 4.6 from both sides:

1/3n ≤ 34.5

Next, we can multiply both sides by 3 to eliminate the fraction:

n ≤ 103.5

Therefore, the possible values of the number are n ≤ 103.5.

So, the correct answer is: n ≤ 103.5