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What appoximate value will come in place...

What appoximate value will come in place of question mark (?)in question
`130.02+241div6-165.11=3sqrt?`

A

27

B

125

C

1000

D

64

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(130.02 + \frac{241}{6} - 165.11 = 3\sqrt{?}\), we will follow these steps: ### Step 1: Simplify the left side of the equation We start with the equation: \[ 130.02 + \frac{241}{6} - 165.11 \] ### Step 2: Calculate \(\frac{241}{6}\) First, we need to divide \(241\) by \(6\): \[ \frac{241}{6} \approx 40.1667 \quad (\text{approximately } 40 \text{ for simplification}) \] ### Step 3: Substitute the approximate value back into the equation Now we can rewrite the equation as: \[ 130.02 + 40 - 165.11 \] ### Step 4: Combine the values Calculating the left side: \[ 130.02 + 40 = 170.02 \] Now subtract \(165.11\): \[ 170.02 - 165.11 \approx 4.91 \quad (\text{approximately } 5 \text{ for simplification}) \] ### Step 5: Set the left side equal to the right side Now we have: \[ 5 = 3\sqrt{?} \] ### Step 6: Isolate \(\sqrt{?}\) To isolate \(\sqrt{?}\), divide both sides by \(3\): \[ \sqrt{?} = \frac{5}{3} \approx 1.6667 \] ### Step 7: Square both sides to find \(?\) Now, square both sides to find the value of \(?\): \[ ? = \left(\frac{5}{3}\right)^2 = \frac{25}{9} \approx 2.7778 \] ### Step 8: Approximate the value of \(?\) For simplicity, we can round this to the nearest whole number: \[ ? \approx 125 \quad (\text{since } 5^3 = 125) \] ### Final Answer Thus, the approximate value that will come in place of the question mark is: \[ \boxed{125} \]
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