To solve the equation 5/8(x−1/2)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?(1 point)

Question

____

Answer 1

To solve the equation \( \frac{5}{8}(x - \frac{1}{2}) = 10 \), the first step would be to eliminate the fraction on the left side. Since the left side is multiplied by \( \frac{5}{8} \), you would reverse this by multiplying both sides by the reciprocal of \( \frac{5}{8} \), which is \( \frac{8}{5} \).

However, since you mentioned wanting to divide both sides, you could also think of it as dividing both sides by \( \frac{5}{8} \). To do this, you need to multiply the right side by the reciprocal \( \frac{8}{5} \) which yields the same result.

So the answer is:

Divide both sides by \( \frac{5}{8} \).

Answer 2

To solve the equation 4.72(x−6.56)=10.4, the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)

Answer 3

To solve the equation \( 4.72(x - 6.56) = 10.4 \), after dividing both sides by \( 4.72 \), we get:

\[ x - 6.56 = \frac{10.4}{4.72} \]

Next, we need to isolate \( x \). To do this, we should add \( 6.56 \) to both sides.

So after dividing by \( 4.72 \), you should add:

6.56 to both sides.

Answer 4

What is the solution of the equation 8/9(x+12/)=32/3 when solving for x ?(1 point)
x = _______

Answer 5

To solve the equation \( \frac{8}{9}(x + 12) = \frac{32}{3} \), follow these steps:

1. Eliminate the fraction by multiplying both sides by \( \frac{9}{8} \):

   \[ x + 12 = \frac{32}{3} \cdot \frac{9}{8} \]

2. Calculate the right side:

   • First simplify \( \frac{32}{3} \cdot \frac{9}{8} \):
   • \( \frac{32 \cdot 9}{3 \cdot 8} = \frac{288}{24} = 12 \)

   So now the equation becomes:

   \[ x + 12 = 12 \]

3. Isolate \( x \) by subtracting \( 12 \) from both sides:

   \[ x = 12 - 12 \] \[ x = 0 \]

Thus, the solution is:

x = 0

Answer 6

What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point)
x =

Answer 7

To solve the equation \( \frac{8}{9}(x + \frac{1}{2}) = \frac{32}{3} \), follow these steps:

1. Eliminate the fraction by multiplying both sides by \( \frac{9}{8} \):

   \[ x + \frac{1}{2} = \frac{32}{3} \cdot \frac{9}{8} \]

2. Calculate the right side:

   • First, simplify \( \frac{32}{3} \cdot \frac{9}{8} \): \[ \frac{32 \cdot 9}{3 \cdot 8} = \frac{288}{24} = 12 \]

   So now the equation becomes:

   \[ x + \frac{1}{2} = 12 \]

3. Isolate \( x \) by subtracting \( \frac{1}{2} \) from both sides:

   \[ x = 12 - \frac{1}{2} \]

   • To subtract \( \frac{1}{2} \) from \( 12 \), first convert \( 12 \) to a fraction: \[ 12 = \frac{24}{2} \]
   • Now, perform the subtraction: \[ x = \frac{24}{2} - \frac{1}{2} = \frac{24 - 1}{2} = \frac{23}{2} \]

Thus, the solution is:

x = \frac{23}{2} or x = 11.5.

Answer 8

To solve the equation 6.24(x+5.9)=20.22, the first step is to reverse the multiplication. What number should both sides be divided by?

Answer 9

To solve the equation \(6.24(x + 5.9) = 20.22\), the first step is to reverse the multiplication of \(6.24\) on the left side.

To do this, you would divide both sides by \(6.24\).

So, the answer is:

Divide both sides by \(6.24\).

Answer 10

What is the solution of 82.78(p+11.892)=72.8464 when solving for p? Do not round your answer

Answer 11

To solve the equation \( 82.78(p + 11.892) = 72.8464 \), follow these steps:

1. Divide both sides by \( 82.78 \) to eliminate the coefficient on the left side:

   \[ p + 11.892 = \frac{72.8464}{82.78} \]

2. Calculate \( \frac{72.8464}{82.78} \):

   \[ \frac{72.8464}{82.78} \approx 0.8800 \quad (\text{exact value will depend on the exact division}) \]

3. Now the equation is:

   \[ p + 11.892 = 0.8800 \]

4. Subtract \( 11.892 \) from both sides to isolate \( p \):

   \[ p = 0.8800 - 11.892 \] \[ p = -11.012 \]

Thus, the solution is:

p = -11.012 (Exact value of \( 72.8464 / 82.78 - 11.892 \)).

If you require the result from the direct division without any rounding, you would perform the exact division \( 72.8464 / 82.78 \) using a calculator to get the precise result.

After calculating it, you get:

\[ p = \frac{72.8464}{82.78} - 11.892 \]

The exact value obtained from division (without approximation) should be used for the most precise answer.