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)

Question

Responses

n≤131.1
  n less than or equal to 131.1

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

Answer 1

To solve the inequality \( \frac{1}{3}n + 4.6 \leq 39.1 \), we first 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. Next, multiply both sides by \( 3 \) to eliminate the fraction:

   \[ n \leq 34.5 \times 3 \]

   \[ n \leq 103.5 \]

So the solution to the inequality is:

\[ n \leq 103.5 \]

Among the provided responses, the correct one is:

n ≤ 103.5
n less than or equal to 103.5