What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)
` (?+5.04)xx71.94divsqrt257=6.05^3`

Options

A. 29
B. 43
C. 33
D. 23

Answer

To solve the equation \( (? + 5.04) \times 71.94 \div \sqrt{257} = 6.05^3 \), we will follow these steps:

### Step 1: Approximate the values
First, we will approximate the values in the equation:
- \( 5.04 \approx 5 \)
- \( 71.94 \approx 72 \)
- \( \sqrt{257} \approx \sqrt{256} = 16 \)
- \( 6.05^3 \approx 6^3 = 216 \)

### Step 2: Rewrite the equation
Now we can rewrite the equation with these approximations:
\[ (? + 5) \times 72 \div 16 = 216 \]

### Step 3: Simplify the equation
Next, we can simplify the left side of the equation:
\[ (? + 5) \times 72 = 216 \times 16 \]

### Step 4: Calculate \( 216 \times 16 \)
Now we calculate \( 216 \times 16 \):
\[ 216 \times 16 = 3456 \]

### Step 5: Solve for \( ? + 5 \)
Now we have:
\[ (? + 5) \times 72 = 3456 \]
To isolate \( ? + 5 \), we divide both sides by 72:
\[ ? + 5 = \frac{3456}{72} \]

### Step 6: Calculate \( \frac{3456}{72} \)
Now we calculate \( \frac{3456}{72} \):
\[ \frac{3456}{72} = 48 \]

### Step 7: Solve for \( ? \)
Now we can find \( ? \):
\[ ? = 48 - 5 = 43 \]

Thus, the approximate value that should come in place of the question mark (?) is **43**.

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