High School

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

[tex]15x = 750[/tex]

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

Answer :

To solve the equation [tex]\(15x = 750\)[/tex], we need to find the value of [tex]\(x\)[/tex] that makes this equation true.

### Step-by-Step Solution:

1. Isolate [tex]\(x\)[/tex] in the equation:

The equation given is [tex]\(15x = 750\)[/tex]. To find [tex]\(x\)[/tex], divide both sides of the equation by 15:

[tex]\[
x = \frac{750}{15}
\][/tex]

2. Calculate the division:

Dividing 750 by 15:

[tex]\[
x = 50
\][/tex]

So, the solution to the equation is [tex]\(x = 50\)[/tex].

3. Identify which numbers are solutions:

You need to determine which numbers from the options match [tex]\(x = 50\)[/tex]. Now, let's check each option:

- A. 150: Does not equal 50
- B. 41: Does not equal 50
- C. 30: Does not equal 50
- D. 50: Equals 50
- E. 5: Does not equal 50
- F. 45: Does not equal 50

### Conclusion:

The number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is [tex]\( \boxed{D. 50} \)[/tex].

Other Questions