What is the solution of the equation -8x = -0.56? (1 point)

19 answers

To solve the equation -8x = -0.56, you need to isolate x by dividing both sides of the equation by -8. Here are the steps:

-8x = -0.56

Now divide by -8:

x = (-0.56) / (-8)

Calculating the result:

x = 0.07

Thus, the solution to the equation -8x = -0.56 is x = 0.07.
What is the equation 4/3x = -6/5? (1 point)
To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), you need to isolate \( x \) by multiplying both sides of the equation by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \). Here are the steps:

Given:
\( \frac{4}{3}x = -\frac{6}{5} \)

Multiply both sides by \( \frac{3}{4} \):
\( \frac{3}{4} \times \frac{4}{3}x = \frac{3}{4} \times -\frac{6}{5} \)

The \( \frac{4}{3} \) and \( \frac{3}{4} \) on the left side cancel each other out, so you are left with:
\( x = -\frac{6}{5} \times \frac{3}{4} \)

Now, calculate the result:
\( x = -(\frac{6 \times 3}{5 \times 4}) \)

\( x = -\frac{18}{20} \)

You can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\( x = -\frac{9}{10} \)

So, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is \( x = -\frac{9}{10} \).
can you rewrite that
Certainly! To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), you want to isolate the variable \( x \). Here's the step-by-step solution:

Start with the equation:
\[ \frac{4}{3}x = -\frac{6}{5} \]

To isolate \( x \), multiply both sides of the equation by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \):
\[ \frac{3}{4} \cdot \frac{4}{3}x = \frac{3}{4} \cdot -\frac{6}{5} \]

Multiplying the left side, \( \frac{3}{4} \) and \( \frac{4}{3} \) cancel each other, leaving \( x \) alone:
\[ x = \frac{3}{4} \cdot -\frac{6}{5} \]

Now multiply the numerators and denominators:
\[ x = -\frac{3 \cdot 6}{4 \cdot 5} \]
\[ x = -\frac{18}{20} \]

This fraction can be simplified further by dividing both numerator and denominator by their greatest common divisor, which is 2:
\[ x = -\frac{9}{10} \]

Thus, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is:
\[ x = -\frac{9}{10} \]
-9/10
Yes, that's correct! The solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is \( x = -\frac{9}{10} \).
Which of the following should be done to both sides of the equation -6x = 48 to solve the value of x? (1 point)

divide by 6

add 6

divide by -6

multiply by -6
To solve for the value of x in the equation -6x = 48, you should:

**divide by -6**

This action will isolate x on one side of the equation, giving you the solution. Here's how it would look:

-6x = 48
x = 48 / (-6)
x = -8

So, dividing by -6 gives you the value of x.
Which of the following should be done to both sides of the equation x/12 = 6 to solve the value of x? (1 point)

divide by 12

multiply by 6

multiply by -12

multiply by 12
To solve for the value of x in the equation \( \frac{x}{12} = 6 \), you should:

**multiply by 12**

This action will allow you to clear the fraction and isolate x on one side of the equation, providing you with the solution. Here's how it would work:

Starting with:
\[ \frac{x}{12} = 6 \]

Multiply both sides by 12:
\[ 12 \cdot \frac{x}{12} = 6 \cdot 12 \]

This simplifies to:
\[ x = 72 \]

So, multiplying by 12 gives you the value of x.
Which is the solution of the equation 5/2x = -1/8? (1 point)

-20

1/20

-5/16

-1/20
To solve the equation \( \frac{5}{2}x = -\frac{1}{8} \), you will isolate the variable \( x \) by multiplying both sides of the equation by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \). This will give you the following steps:

Starting equation:
\[ \frac{5}{2}x = -\frac{1}{8} \]

Multiply both sides by the reciprocal of \( \frac{5}{2} \), \( \frac{2}{5} \):
\[ \frac{2}{5} \cdot \frac{5}{2}x = \frac{2}{5} \cdot -\frac{1}{8} \]

On the left side, the \( \frac{5}{2} \) and \( \frac{2}{5} \) cancel each other out, leaving \( x \) on its own:
\[ x = -\frac{2}{5} \cdot \frac{1}{8} \]

Now multiply the numerators and the denominators:
\[ x = -\frac{2 \cdot 1}{5 \cdot 8} \]
\[ x = -\frac{2}{40} \]

Simplify the fraction by dividing both the numerator and the denominator by 2:
\[ x = -\frac{1}{20} \]

Therefore, the solution to the equation \( \frac{5}{2}x = -\frac{1}{8} \) is \( x = -\frac{1}{20} \).
What is the solution of the equation -x/2.9 = -3? (1 point)

8.7

87

-8.7

-87
To solve the equation \(-\frac{x}{2.9} = -3\), you need to isolate \(x\) by multiplying both sides of the equation by -2.9. Here's the solution:

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

Now, multiply both sides by -2.9:

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

On the left side, -2.9 and \( \frac{1}{2.9} \) cancel each other out, leaving \(x\):

\[
x = 8.7
\]

So the solution to the equation \(-\frac{x}{2.9} = -3\) is \(x = 8.7\).
What is the solution of the equation 8/5x = -10? (1 point)

-1/16

-5/8

-16

-25/4
To solve the equation \( \frac{8}{5}x = -10 \), you need to isolate \( x \) by dividing both sides by \( \frac{8}{5} \) or equivalently by multiplying both sides by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \). Here's the step-by-step solution:

Starting from the equation:
\[ \frac{8}{5}x = -10 \]

Multiply both sides by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \):
\[ x = -10 \cdot \frac{5}{8} \]

Now multiply the numerators and the denominators:
\[ x = \frac{-10 \cdot 5}{8} \]
\[ x = \frac{-50}{8} \]

This fraction can be simplified further by dividing both numerator and denominator by their greatest common divisor, which is 2:
\[ x = \frac{-25}{4} \]

Thus, the solution to the equation \( \frac{8}{5}x = -10 \) is:
\[ x = -\frac{25}{4} \]
all of them are correct thank you!
You're welcome! I'm glad I could help. If you have any more questions or need further assistance, feel free to ask. Good luck with your studies!