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)

Question

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
n less than or equal to 131.1
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Answer 1

To solve the problem, we start from the original statement:

The sum of 4.6 and one-third of a number \( n \) is at most 39.1. We can express this mathematically as:

\[ 4.6 + \frac{1}{3} n \leq 39.1 \]

Next, we'll isolate \( n \). First, we'll subtract 4.6 from both sides:

\[ \frac{1}{3} n \leq 39.1 - 4.6 \]

Calculating the right side:

\[ 39.1 - 4.6 = 34.5 \]

Thus, we have:

\[ \frac{1}{3} n \leq 34.5 \]

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

\[ n \leq 34.5 \times 3 \]

Calculating the right side:

\[ 34.5 \times 3 = 103.5 \]

So the final inequality we have is:

\[ n \leq 103.5 \]

This means the answer is:

n ≤ 103.5
n less than or equal to 103.5