Question

The equation 0.24x−0.74=−1.1
0.24
𝑥
−
0.74
=
−
1.1
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24
𝑥
−
0.74
=
−
1.1
0.24x=
0.24
𝑥
=
Add 0.74 to both sides.
x=
𝑥
=
Divide both sides by 0.24.

Answer 1

wrong

Answer 2

Let's solve the equation step by step:

1. Start with the original equation:
\[
0.24x - 0.74 = -1.1
\]

2. Add \(0.74\) to both sides:
\[
0.24x = -1.1 + 0.74
\]
Calculate \(-1.1 + 0.74\):
\[
-1.1 + 0.74 = -0.36
\]
So, the equation becomes:
\[
0.24x = -0.36
\]

3. Now, divide both sides by \(0.24\):
\[
x = \frac{-0.36}{0.24}
\]
Calculate \(\frac{-0.36}{0.24}\):
\[
x = -1.5
\]

Putting it all together, the completed solution is:

1. \(0.24x - 0.74 = -1.1\)
2. \(0.24x = -0.36\) (adding \(0.74\) to both sides)
3. \(x = -1.5\) (dividing both sides by \(0.24\))

So the answers to fill in are:
- \(0.24x = -0.36\)
- \(x = -1.5\)

Answer 3

Let's re-evaluate the steps to solve the equation \(0.24x - 0.74 = -1.1\):

1. **Starting Equation:**
\[
0.24x - 0.74 = -1.1
\]

2. **Add \(0.74\) to both sides:**
\[
0.24x = -1.1 + 0.74
\]
Now calculate \(-1.1 + 0.74\):
\[
-1.1 + 0.74 = -0.36
\]
So now we have:
\[
0.24x = -0.36
\]

3. **Divide both sides by \(0.24\):**
\[
x = \frac{-0.36}{0.24}
\]
Now calculate \(\frac{-0.36}{0.24}\):
\[
x = -1.5
\]

Thus, the correct entries in the solution are:
1. For \(0.24x = -0.36\) after adding 0.74 to both sides.
2. For \(x = -1.5\) after dividing both sides by 0.24.

To summarize:
- After adding \(0.74\), you get \(0.24x = -0.36\).
- After dividing by \(0.24\), you get \(x = -1.5\).

If there's something specific you're looking for or if you have different numbers in mind, please provide additional details, and I can assist accordingly!