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0.98% "of" 7824+4842div119.46-?=78...

`0.98% "of" 7824+4842div119.46-?=78`

A

30

B

60

C

40

D

50

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(0.98\% \text{ of } 7824 + \frac{4842}{119.46} - ? = 78\), we will approximate the values to make calculations easier. ### Step-by-Step Solution: 1. **Convert the Percentage to Decimal**: \[ 0.98\% = \frac{0.98}{100} = 0.0098 \] 2. **Calculate \(0.98\% \text{ of } 7824\)**: \[ 0.98\% \text{ of } 7824 = 0.0098 \times 7824 \approx 0.01 \times 7824 = 78.24 \text{ (using approximation)} \] 3. **Approximate \(119.46\) to \(120\)**: \[ \frac{4842}{119.46} \approx \frac{4842}{120} \] 4. **Calculate \(\frac{4842}{120}\)**: \[ \frac{4842}{120} \approx 40.35 \text{ (using approximation)} \] 5. **Combine the Results**: \[ 78.24 + 40.35 \approx 118.59 \] 6. **Set Up the Equation**: \[ 118.59 - ? = 78 \] 7. **Solve for \(?\)**: \[ ? = 118.59 - 78 \approx 40.59 \] 8. **Round the Result**: Since we are looking for an approximate value, we can round \(40.59\) to \(40\). ### Final Answer: Thus, the value of \(?\) is approximately \(40\).

To solve the equation \(0.98\% \text{ of } 7824 + \frac{4842}{119.46} - ? = 78\), we will approximate the values to make calculations easier. ### Step-by-Step Solution: 1. **Convert the Percentage to Decimal**: \[ 0.98\% = \frac{0.98}{100} = 0.0098 \] ...
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