The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?

Answer 1

Let's let the number be represented by the variable "x".

The problem states that the sum of 4.5 and one-third of the number is equal to at most 38.9. We can write this as an inequality:

4.5 + (1/3)x ≤ 38.9

To solve this inequality, we would need to isolate the variable x.

Answer 2

the sum of 4.5 and one-third a number is equal to at most 38.9. what are all the possible values of the number? how would you write an inequality that could be used to solve this problem?

Answer 3

To find the possible values of the number x, we can solve the inequality:

4.5 + (1/3)x ≤ 38.9

To do this, we can start by subtracting 4.5 from both sides:

(1/3)x ≤ 38.9 - 4.5

Simplifying the right side:

(1/3)x ≤ 34.4

To get rid of the fraction (1/3), we can multiply both sides by 3:

3 * (1/3)x ≤ 3 * 34.4

This simplifies to:

x ≤ 103.2

Therefore, the possible values of the number x would be any real number less than or equal to 103.2.

In inequality form, this would be:

x ≤ 103.2

Answer 4

the library needs at least 15 people to sign up for an event in order to run it. currently, 3 people have signed up, and the library expects 2 more people to sign up each day. after how many days will the library be sure it can run the event? write an inequality that could be used to solve this problem.