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≤112.7 n less than or equal to 112.7 n≤103.5 n less than or equal to 103.5 n≤131.1
To solve the inequality 13n + 4.6 ≤ 39.1, we need to isolate n on one side of the inequality.
Subtracting 4.6 from both sides, we get:
13n ≤ 34.5
Dividing both sides by 13, we have:
n ≤ 34.5/13
Simplifying the division, we find:
n ≤ 2.65384615385
Rounding to the nearest tenth, we have:
n ≤ 2.7
Therefore, the correct answer is n less than or equal to 2.7.