20 is a solution to the equation by using the replacement set.
- Let the unknown variable be n.
Given the following data:
a. To represent the statement as an algebraic equation:
In this exercise, you're required to write a mathematical expression (algebraic equation) that represents the word sentence given.
Translating the word sentence into an algebraic expression, we have;
The product of 0.4 and a number is 8:
[tex]0.4n = 8[/tex]
b. To determine the solution set using the replacement set:
- Let's use the following set of numbers (0, 1, 10, 20)
When n = 0:
[tex]0.4(0)=8\\\\0\neq 8[/tex]
When n = 1:
[tex]0.4(1)=8\\\\0.4\neq 8[/tex]
When n = 10:
[tex]0.4(10)=8\\\\4\neq 8[/tex]
When n = 20:
[tex]0.4(20)=8\\\\8= 8[/tex]
Therefore, 20 is a solution to the equation by using the replacement set.
Find more information on algebraic expression here: https://brainly.com/question/4728821
