Let's answer each of the questions step by step:
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What is the first step in solving for x in the equation \( 5.6(x+1.42)=7.8 \)?
- The first step is to divide both sides by 5.6.
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What is the second step in solving for n in the equation \( 5.6(n+1.42)=7.8 \)?
- After dividing both sides by 5.6, you will have \( n + 1.42 = \frac{7.8}{5.6} \). The next logical step is to subtract 1.42 from both sides.
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What is the first step in solving for x in the equation \( 9.8(x−2.14)=53.9 \)?
- The first step is to divide both sides by 9.8.
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Solve for x in the equation \( 102.5(x−11.92)=71.6 \). Round your answer to 3 decimal places.
- First, divide both sides by 102.5: \[ x - 11.92 = \frac{71.6}{102.5} \] Calculating ( \frac{71.6}{102.5} \approx 0.698 ]
- Thus, \[ x - 11.92 \approx 0.698 \]
- Next, add 11.92 to both sides: \[ x \approx 0.698 + 11.92 \approx 12.618 \]
- Therefore, rounding to three decimal places, the answer is 12.618.
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Solve for n in the equation \( 50.3(n+9.25)=-120.72 \).
- Divide both sides by 50.3: \[ n + 9.25 = \frac{-120.72}{50.3} \] This approximately equals \( -2.4 \).
- So we have: \[ n + 9.25 \approx -2.4 \]
- Finally, subtract 9.25 from both sides: \[ n \approx -2.4 - 9.25 \approx -11.65 \]
- Therefore, the answer is −11.65.
In summary:
- Divide both sides by 5.6
- Subtract 1.42 from both sides
- Divide both sides by 9.8
- 12.618
- −11.65