Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To solve the equation \(\frac{x}{3} = 15\), we need to isolate \(x\). Here is a detailed, step-by-step solution:
1. Understand the Equation:
- The equation \(\frac{x}{3} = 15\) indicates that \(x\) divided by 3 equals 15.
2. Identify the Inverse Operation:
- To isolate \(x\), we need to undo the division by 3. The inverse operation of division is multiplication.
3. Apply the Inverse Operation:
- Multiply both sides of the equation by 3 to cancel out the division:
[tex]\[ \frac{x}{3} \times 3 = 15 \times 3 \][/tex]
4. Simplify the Equation:
- On the left side, \(\frac{x}{3} \times 3\) simplifies to \(x\) (since \(\frac{a}{b} \times b = a\)).
- On the right side, \(15 \times 3 = 45\).
5. Solve for \(x\):
- Thus, \(x = 45\).
Hence, the operation that should be used to solve \(\frac{x}{3}=15\) is multiplication by 3.
The corresponding choice is:
[tex]\[ \times 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \times 3 \][/tex]
1. Understand the Equation:
- The equation \(\frac{x}{3} = 15\) indicates that \(x\) divided by 3 equals 15.
2. Identify the Inverse Operation:
- To isolate \(x\), we need to undo the division by 3. The inverse operation of division is multiplication.
3. Apply the Inverse Operation:
- Multiply both sides of the equation by 3 to cancel out the division:
[tex]\[ \frac{x}{3} \times 3 = 15 \times 3 \][/tex]
4. Simplify the Equation:
- On the left side, \(\frac{x}{3} \times 3\) simplifies to \(x\) (since \(\frac{a}{b} \times b = a\)).
- On the right side, \(15 \times 3 = 45\).
5. Solve for \(x\):
- Thus, \(x = 45\).
Hence, the operation that should be used to solve \(\frac{x}{3}=15\) is multiplication by 3.
The corresponding choice is:
[tex]\[ \times 3 \][/tex]
Therefore, the correct answer is:
[tex]\[ \times 3 \][/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.