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≤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
To solve the inequality 13n + 4.6 ≤ 39.1, we first need to isolate the variable.
Subtract 4.6 from both sides:
13n + 4.6 - 4.6 ≤ 39.1 - 4.6
This simplifies to:
13n ≤ 34.5
Next, divide both sides by 13 to solve for n:
n ≤ 34.5/13
n ≤ 2.65
Therefore, the solution to the inequality is n ≤ 2.65.
However, the possible values of the number are not specified in the given problem. If you want to determine all possible values of the number, you can use the inequality 13n + 4.6 ≤ 39.1 to find the upper limit for n.
Subtract 4.6 from both sides:
13n + 4.6 - 4.6 ≤ 39.1 - 4.6
This simplifies to:
13n ≤ 34.5
Next, divide both sides by 13 to solve for n:
n ≤ 34.5/13
n ≤ 2.65
Therefore, all possible values of the number are less than or equal to 2.65.