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Which number(s) below belong to the solution set of the equation? Check all that apply.

[tex]15x = 750[/tex]

A. 30
B. 45
C. 5
D. 150
E. 41
F. 50

Answer :

To solve the equation [tex]\(15x = 750\)[/tex] and find which numbers from the list belong to the solution set, follow these steps:

1. Solve the Equation for [tex]\(x\)[/tex]:
- Start with the equation [tex]\(15x = 750\)[/tex].
- To solve for [tex]\(x\)[/tex], divide both sides of the equation by 15:
[tex]\[
x = \frac{750}{15}
\][/tex]
- Calculating the division gives:
[tex]\[
x = 50
\][/tex]

2. Identify the Solution from the Given Options:
- Now, compare this solution to the options given:
- A. 30
- B. 45
- C. 5
- D. 150
- E. 41
- F. 50
- The number that equals [tex]\(x = 50\)[/tex] is option F.

Therefore, the number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is:
- F. 50

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