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Answer :
To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we want to isolate [tex]\(x\)[/tex]. Here's how you can do it step-by-step:
1. Identify the operation: In the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], [tex]\(x\)[/tex] is being divided by 19.3.
2. Remove the division: To isolate [tex]\(x\)[/tex], you need to do the opposite of dividing by 19.3, which is multiplying by 19.3.
3. Multiply both sides by 19.3:
[tex]\[
19.3 \times \frac{x}{19.3} = 38.6 \times 19.3
\][/tex]
4. Simplify the left side: The multiplication by 19.3 cancels out the division by 19.3 on the left side, leaving you with:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
5. Calculate the right side: Multiply 38.6 by 19.3.
[tex]\[
x = 744.98
\][/tex]
So, the complete solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex]. This matches the answer option: "Multiply both sides by 19.3, the solution is 744.98."
1. Identify the operation: In the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], [tex]\(x\)[/tex] is being divided by 19.3.
2. Remove the division: To isolate [tex]\(x\)[/tex], you need to do the opposite of dividing by 19.3, which is multiplying by 19.3.
3. Multiply both sides by 19.3:
[tex]\[
19.3 \times \frac{x}{19.3} = 38.6 \times 19.3
\][/tex]
4. Simplify the left side: The multiplication by 19.3 cancels out the division by 19.3 on the left side, leaving you with:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
5. Calculate the right side: Multiply 38.6 by 19.3.
[tex]\[
x = 744.98
\][/tex]
So, the complete solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex]. This matches the answer option: "Multiply both sides by 19.3, the solution is 744.98."
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