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≤103.5 n less than or equal to 103.5 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5 n≤131.1 n less than or equal to 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≤103.5 n less than or equal to 103.5 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5 n≤131.1 n less than or equal to 131.1

Answer 1

To solve the inequality, we need to isolate the variable n.

Starting with the given equation:
4.6 + 1/3n ≤ 39.1
Subtracting 4.6 from both sides:
1/3n ≤ 34.5
To get rid of the fraction, we multiply both sides by 3:
n ≤ 34.5 * 3 = 103.5

So the correct answer is: n ≤ 103.5.