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Answer :
Sure, let's solve the equation step-by-step to find which number(s) belong to the solution set of the equation [tex]\(15x = 750\)[/tex].
### Step 1: Understand the Equation
We need to solve the equation for [tex]\(x\)[/tex]:
[tex]\[ 15x = 750 \][/tex]
### Step 2: Solve for [tex]\(x\)[/tex]
To solve for [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex]. We do this by dividing both sides of the equation by 15:
[tex]\[ x = \frac{750}{15} \][/tex]
### Step 3: Calculate the Value
Now perform the division:
[tex]\[ x = 50 \][/tex]
So, the solution to the equation [tex]\(15x = 750\)[/tex] is [tex]\(x = 50\)[/tex].
### Step 4: Check Each Option
To determine which number(s) belong to the solution set, let's check the provided options to see if they satisfy the equation [tex]\(15x = 750\)[/tex]:
- Option A: 45
[tex]\[ 15 \times 45 = 675 \quad (\text{Not equal to } 750) \][/tex]
- Option B: 150
[tex]\[ 15 \times 150 = 2250 \quad (\text{Not equal to } 750) \][/tex]
- Option C: 5
[tex]\[ 15 \times 5 = 75 \quad (\text{Not equal to } 750) \][/tex]
- Option D: 30
[tex]\[ 15 \times 30 = 450 \quad (\text{Not equal to } 750) \][/tex]
- Option E: 41
[tex]\[ 15 \times 41 = 615 \quad (\text{Not equal to } 750) \][/tex]
- Option F: 50
[tex]\[ 15 \times 50 = 750 \quad (\text{Equal to } 750) \][/tex]
### Conclusion
The number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is:
- Option F: 50
So, only 50 is the correct answer.
### Step 1: Understand the Equation
We need to solve the equation for [tex]\(x\)[/tex]:
[tex]\[ 15x = 750 \][/tex]
### Step 2: Solve for [tex]\(x\)[/tex]
To solve for [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex]. We do this by dividing both sides of the equation by 15:
[tex]\[ x = \frac{750}{15} \][/tex]
### Step 3: Calculate the Value
Now perform the division:
[tex]\[ x = 50 \][/tex]
So, the solution to the equation [tex]\(15x = 750\)[/tex] is [tex]\(x = 50\)[/tex].
### Step 4: Check Each Option
To determine which number(s) belong to the solution set, let's check the provided options to see if they satisfy the equation [tex]\(15x = 750\)[/tex]:
- Option A: 45
[tex]\[ 15 \times 45 = 675 \quad (\text{Not equal to } 750) \][/tex]
- Option B: 150
[tex]\[ 15 \times 150 = 2250 \quad (\text{Not equal to } 750) \][/tex]
- Option C: 5
[tex]\[ 15 \times 5 = 75 \quad (\text{Not equal to } 750) \][/tex]
- Option D: 30
[tex]\[ 15 \times 30 = 450 \quad (\text{Not equal to } 750) \][/tex]
- Option E: 41
[tex]\[ 15 \times 41 = 615 \quad (\text{Not equal to } 750) \][/tex]
- Option F: 50
[tex]\[ 15 \times 50 = 750 \quad (\text{Equal to } 750) \][/tex]
### Conclusion
The number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is:
- Option F: 50
So, only 50 is the correct answer.
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