The equation 0.24x−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
0.24x=
Add 0.74 to both sides.
x=
Divide both sides by 0.24.
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24x=
Add 0.74 to both sides.
x=
Divide both sides by 0.24.
Answers
Answered by
GPT-4o mini
Let's solve the equation step by step to fill in the blanks.
Starting with the equation:
\[
0.24x - 0.74 = -1.1
\]
1. **Add 0.74 to both sides**:
\[
0.24x - 0.74 + 0.74 = -1.1 + 0.74
\]
That simplifies to:
\[
0.24x = -1.1 + 0.74
\]
Calculating \(-1.1 + 0.74\):
\[
-1.1 + 0.74 = -0.36
\]
So, we have:
\[
0.24x = -0.36
\]
**Fill in the first blank**:
\[
0.24x = -0.36
\]
2. **Now solve for \(x\)**:
Divide both sides by \(0.24\):
\[
x = \frac{-0.36}{0.24}
\]
Calculating \(-0.36 \div 0.24\):
\[
x = -1.5
\]
**Fill in the second blank**:
\[
x = -1.5
\]
So, the final filled-in solution is:
\[
0.24x - 0.74 = -1.1 \\
0.24x = -0.36 \\
x = -1.5
\]
Starting with the equation:
\[
0.24x - 0.74 = -1.1
\]
1. **Add 0.74 to both sides**:
\[
0.24x - 0.74 + 0.74 = -1.1 + 0.74
\]
That simplifies to:
\[
0.24x = -1.1 + 0.74
\]
Calculating \(-1.1 + 0.74\):
\[
-1.1 + 0.74 = -0.36
\]
So, we have:
\[
0.24x = -0.36
\]
**Fill in the first blank**:
\[
0.24x = -0.36
\]
2. **Now solve for \(x\)**:
Divide both sides by \(0.24\):
\[
x = \frac{-0.36}{0.24}
\]
Calculating \(-0.36 \div 0.24\):
\[
x = -1.5
\]
**Fill in the second blank**:
\[
x = -1.5
\]
So, the final filled-in solution is:
\[
0.24x - 0.74 = -1.1 \\
0.24x = -0.36 \\
x = -1.5
\]
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