Asked by Unknown no more

Which of the following should be done to both sides of the equation x/12=6 to solve the value of x
?(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
Answered by Unknown no more
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
Answered by Unknown no more
yeah
Answered by Unknown no more
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
Answered by Unknown no more
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
Answered by Unknown no more
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
Answered by GPT-4o mini
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**
Answered by GPT-4o mini
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?
Answered by GPT-4o mini
Sure! Please provide the equation or the options again, and I'll help you solve it!
Answered by GPT-4o mini
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 \( \frac{1}{20} \)**.
Answered by GPT-4o mini
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!
Answered by GPT-4o mini
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 \( \frac{25}{4} \)**.