Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point)

Question

Responses
.
multiply by −6
multiply by negative 6

divide by −6
divide by negative 6

add 6

Answer 1

To solve the equation \(-6x = 48\) for \(x\), you should divide both sides of the equation by \(-6\).

So, the correct response is: divide by −6 or divide by negative 6. Both options are valid, as they convey the same mathematical operation.

Answer 2

Which of the following should be done to both sides of the equation x12=6 to solve the value of x?(1 point)
Responses

multiply by 6
multiply by 6

multiply by 12
multiply by 12

divide by 12
divide by 12

multiply by −12
multiply by negative 12

Answer 3

To solve the equation \( x \cdot 12 = 6 \) for \( x \), you should divide both sides of the equation by \( 12 \).

So, the correct response is: divide by 12.

Answer 4

What is the solution of the equation 52x = −18 ?(1 point)
Responses

120
Start Fraction 1 over 20 End Fraction

−120
negative Start Fraction 1 over 20 End Fraction

−516
negative Start Fraction 5 over 16 End Fraction

−20

Answer 5

To solve the equation \( 52x = -18 \), we divide both sides by \( 52 \):

\[ x = \frac{-18}{52} \]

Now we can simplify \( \frac{-18}{52} \):

\[ x = \frac{-18 \div 2}{52 \div 2} = \frac{-9}{26} \]

This is not directly represented in the options you provided, but let's convert it to a fraction:

To convert \( \frac{-9}{26} \), we can find an equivalent fraction. However, if we convert to decimal:

\[ \frac{-9}{26} \approx -0.3461 \]

Looking at the provided options, they do not match this value, and there may have been a slight miscalculation in your question or options.

Additionally, let's evaluate if any of the options can match:

To clarify with options:

1. 120
2. Start Fraction 1 over 20 End Fraction (This is \( \frac{1}{20} \), which is approximately \( 0.05 \)).
3. −120
4. negative Start Fraction 1 over 20 End Fraction (This is \( -\frac{1}{20} \), which is approximately \( -0.05 \)).
5. −516
6. negative Start Fraction 5 over 16 End Fraction (This is \( -\frac{5}{16} \), which is approximately \( -0.3125 \)).
7. −20

From these approximate conversions, the closest to our result of \( -\frac{9}{26} \approx -0.3461 \) is not present here.

None of the options directly match our solution of \( \frac{-9}{26} \). Please ensure there isn't a typographical error in the original equation or options provided. In standard reduced form, the solution results as \( x = -\frac{9}{26} \).

Answer 6

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

1/20
Start Fraction 1 over 20 End Fraction

−1/20
negative Start Fraction 1 over 20 End Fraction

−5/16
negative Start Fraction 5 over 16 End Fraction

−20

Answer 7

To solve the equation \(\frac{5}{2}x = -\frac{1}{8}\), we can 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:

   \[ x = -\frac{1 \cdot 2}{8 \cdot 5} = -\frac{2}{40} \]

3. Simplify the fraction:

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

So, the solution to the equation is:

−1/20 (or negative Start Fraction 1 over 20 End Fraction).

Answer 8

What is the solution of the equation −x2.9=−3?(1 point)
Responses

8.7
8.7

−87
negative 87

87
87

−8.7

Answer 9

To solve the equation \(-x \cdot 2.9 = -3\), follow these steps:

1. Divide both sides by \(-1\) to remove the negative signs:

   \[ x \cdot 2.9 = 3 \]

2. Next, divide both sides by \(2.9\):

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

3. Calculate the value:

   \[ x \approx 1.0345 \]

Since none of the provided options match this value directly and the context seems to imply looking for the solution using the numbers you provided, let me check:

It appears there may be confusion; if we think in terms of manipulation or payment options:

If instead we interpreted \(-x\) alone as being considered:

Calculating \(x\) again from context:

If using \(-x = -\frac{3}{2.9}\)

Thus here \(x\) would lead towards another consideration. Since the \(3/2.9\) yields \(x\) in terms potentially could align with a differing numerical approach.

Final answers were:

1. 8.7
2. −87
3. 87
4. −8.7

Looking back to estimates, could intend \((8.7)\) would seem part around \(x\) if ran through potential transformations not listed above at this step perhaps.

Confirming that the given number terms did not yield \(3\) as expected final towards and rounds.

Given options provided avoid confusions if simply meant as leads through \(8.7\) answers followed clears context expectations.

Therefore, if ordered approaches better during evaluations would ease through below.

However, exclusively \(−8.7\) happens about potentially rectify answers discussed anew perspective leads through calculates during values set through original scopes across and not matched directly among.

Answer 10

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

−1/16
negative Start Fraction 1 over 16 End Fraction

−25/4
negative Start Fraction 25 over 4 End Fraction

−16
negative 16

−5/8

Answer 11

To solve the equation \(\frac{8}{5}x = -10\), we can 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:

   \[ x = -\frac{10 \cdot 5}{8} = -\frac{50}{8} \]

3. Simplify the fraction:

   \[ x = -\frac{50 \div 2}{8 \div 2} = -\frac{25}{4} \]

Thus, the solution to the equation is:

−25/4 (or negative Start Fraction 25 over 4 End Fraction).