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

Question

, where n equals the number, to help solve this problem. Solve his inequality.(1 point)
Responses

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

n≤103.5

choose one above

Answer 1

To solve the inequality \( \frac{1}{3}n + 4.6 \leq 39.1 \), we will isolate \( n \).

1. Subtract 4.6 from both sides: \[ \frac{1}{3}n \leq 39.1 - 4.6 \] \[ \frac{1}{3}n \leq 34.5 \]

2. Multiply both sides by 3 to solve for \( n \): \[ n \leq 34.5 \times 3 \] \[ n \leq 103.5 \]

Therefore, the correct response is:

• n ≤ 103.5