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

Answer 1

To solve the inequality 13n + 4.6 ≤ 39.1, we can begin by subtracting 4.6 from both sides:

13n ≤ 34.5

Next, we divide both sides by 13:

n ≤ 34.5/13

Simplifying the right side:

n ≤ 2.6538

Therefore, all possible values of the number are less than or equal to 2.6538.

Answer 2

nope! the options are these:

n ≤ 112.7

n ≤ 131.1

n ≤ 11.5

n ≤ 103.5

Answer 3

Apologies for the mistake. Let's solve the inequality correctly.

We have the inequality: 13n + 4.6 ≤ 39.1

First, we subtract 4.6 from both sides:

13n ≤ 39.1 - 4.6

Simplifying the right side:

13n ≤ 34.5

Next, divide both sides by 13:

n ≤ 34.5/13

Calculated:
n ≤ 2.6538

Therefore, the corrected inequality is:

n ≤ 2.6538

Since this inequality doesn't match any of the given options, we need to redo the calculations.

To find the correct option, we'll start by rewriting the original problem: the sum of 4.6 and one-third of a number is at most 39.1.

Let the number be x. The equation can be written as:

4.6 + (1/3)x ≤ 39.1

Subtracting 4.6 from both sides:

(1/3)x ≤ 34.5

Next, multiply both sides by 3 to isolate x:

x ≤ 34.5 * 3

x ≤ 103.5

Therefore, the correct inequality is:

n ≤ 103.5

Therefore, one possible value of the number is n ≤ 103.5.

Answer 4

Thanks that's all i needed to know have a good night :)

Answer 5

You're welcome! I'm glad I could help. Have a good night too! If you have any more questions in the future, feel free to ask.