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)
n≤103.5
n less than or equal to 103.5
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
Of course, I apologize for any confusion. Let's go through the steps again in more detail:
1. Given: The sum of 4.6 and one-third of a number is at most 39.1.
Let's represent the number as 'n'. We can write this as an equation:
4.6 + (1/3)n ≤ 39.1
2. Artem wrote the inequality 13n + 4.6 ≤ 39.1 to help solve the problem.
To rewrite the equation in a different form, we can multiply both sides by 3:
3 * (4.6 + (1/3)n) ≤ 3 * 39.1
This simplifies to:
13.8 + n ≤ 117.3
3. Now we can solve the inequality:
Subtract 13.8 from both sides:
n ≤ 117.3 - 13.8
Simplifying, we find:
n ≤ 103.5
So the correct answer is:
n ≤ 103.5
This means that all possible values of the number 'n' must be less than or equal to 103.5 in order for the given sum to be at most 39.1.
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 to isolate n:
n ≤ 34.5/13
Simplifying, we find:
n ≤ 2.6538461538461537
Therefore, the correct answer is:
n ≤ 2.6538461538461537
huh?
I apologize for the mistake. Let's solve the inequality correctly:
To solve 13n + 4.6 ≤ 39.1, you would subtract 4.6 from both sides:
13n ≤ 34.5
Then you would divide both sides by 13 to isolate n:
n ≤ 34.5/13
Now let's simplify the right side:
n ≤ 2.653846153846154
So the correct answer is:
n ≤ 2.653846153846154