Which of the following should be done to both sides of the equation x/12=6 to solve the value of x

Question

?(1 point)
Responses

multiply by −12

multiply by negative 12
divide by 12
divide by 12
multiply by 6
multiply by 6
multiply by 12

Answer 1

To solve the equation \( \frac{x}{12} = 6 \) for \( x \), you should multiply both sides of the equation by 12. This will eliminate the denominator on the left side.

So the correct response is:

multiply by 12

Answer 2

What is the solution of the equation 5/2x = −18
?(1 point)
Responses

negative Start Fraction 1 over 20 End Fraction

negative Start Fraction 5 over 16 End Fraction

Start Fraction 1 over 20 End Fraction

Answer 3

To solve the equation \( \frac{5}{2}x = -18 \), you can follow these steps:

1. Multiply both sides of the equation by \( \frac{2}{5} \) to isolate \( x \): \[ x = -18 \times \frac{2}{5} \]

2. Calculate: \[ x = -\frac{36}{5} \]

3. Simplifying \(-\frac{36}{5}\) does not fit into the options exactly given, but we can convert it.

So the solution is: \[ x = -\frac{36}{5} = -7.2 \]

However, double-checking the options provided:

• Negative \( \frac{1}{20} \)
• Negative \( \frac{5}{16} \)
• \( \frac{1}{20} \)

None of these options reflect the correct solution of \( -\frac{36}{5} \).

If these are the only choices, it seems like there may be an error in the options provided. Would you like to check the options or the equation again?

Answer 4

yeah

Answer 5

Sure! Please provide the equation or the options again, and I'll help you solve it!

Answer 6

sorry i meant
What is the solution of the equation 5/2x = −1/8
?(1 point)
Responses

negative Start Fraction 1 over 20 End Fraction

negative Start Fraction 5 over 16 End Fraction

Start Fraction 1 over 20 End Fraction

Answer 7

To solve the equation

\[ \frac{5}{2}x = -\frac{1}{8}, \]

follow these steps:

1. Multiply both sides by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):

\[ x = -\frac{1}{8} \cdot \frac{2}{5}. \]

2. Calculate the right side:

\[ x = -\frac{2}{40}. \]

3. Simplify the fraction:

\[ x = -\frac{1}{20}. \]

Now comparing this with the options you provided:

• Negative \( \frac{1}{20} \) (this is correct)
• Negative \( \frac{5}{16} \)
• \( \frac{1}{20} \)

The correct answer is negative \( \frac{1}{20} \).

Answer 8

What is the solution of the equation −x/2.9=−3
?(1 point)
Responses

87
87
−8.7

negative 8.7
8.7
8.7
−87

Answer 9

To solve the equation

\[ -\frac{x}{2.9} = -3, \]

follow these steps:

1. Multiply both sides by -1 to eliminate the negative sign:

\[ \frac{x}{2.9} = 3. \]

2. Multiply both sides by 2.9 to solve for \(x\):

\[ x = 3 \times 2.9. \]

3. Calculate the right side:

\[ x = 8.7. \]

So, the solution is:

8.7.

This matches one of your response options!

Answer 10

What is the solution of the equation 8/5x = −10
?(1 point)
Responses

negative Start Fraction 1 over 16 End Fraction

-16

negative Start Fraction 25 over 4 End Fraction

−5/8

Answer 11

To solve the equation

\[ \frac{8}{5}x = -10, \]

follow these steps:

1. Multiply both sides by the reciprocal of \(\frac{8}{5}\), which is \(\frac{5}{8}\):

\[ x = -10 \cdot \frac{5}{8}. \]

2. Calculate the right side:

\[ x = -\frac{50}{8}. \]

3. Simplify the fraction:

\[ x = -\frac{25}{4}. \]

Now comparing this with the options you provided:

• Negative \( \frac{1}{16} \)
• -16
• Negative \( \frac{25}{4} \) (This is correct)
• -5/8

The correct answer is negative \( \frac{25}{4} \).