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? (1 point)
1/3n+4.5≤38.9,Where N is equal to the number
Correct! The inequality is:
1/3n + 4.5 ≤ 38.9, where n represents the number we are trying to find.
To solve the problem, we need to set up an inequality to represent the given information. Let's break down the problem step by step.
First, let's define the unknown number as "x".
The sum of 4.5 and one-third of a number can be written as: 4.5 + (1/3)x.
According to the problem, this sum is equal to at most 38.9. The phrase "at most" implies that the sum can be less than or equal to 38.9. Therefore, we can write the inequality as:
4.5 + (1/3)x ≤ 38.9
To solve this inequality and find the possible values of x, we can perform algebraic operations. Let's solve for x:
4.5 + (1/3)x ≤ 38.9
Subtract 4.5 from both sides:
(1/3)x ≤ 38.9 - 4.5
Simplify:
(1/3)x ≤ 34.4
To get rid of the fraction, multiply both sides by 3:
3 * (1/3)x ≤ 3 * 34.4
Simplify:
x ≤ 103.2
Therefore, the inequality that can be used to solve this problem is x ≤ 103.2.
The possible values for x are all real numbers less than or equal to 103.2.
Let's call the number we're trying to find "x".
The sum of 4.5 and one-third of x is given by: 4.5 + (1/3)x.
According to the problem, this sum is equal to at most 38.9. "At most" means that the value must be less than or equal to 38.9.
So, we can write the inequality as follows:
4.5 + (1/3)x ≤ 38.9