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Find the approximate value of (?) in the...

Find the approximate value of (?) in the following questions.
`(55.01% "of 2199")/(67.023 + 54.12) + (2.034 xx 12.01 + 6.02) = ?`

A

28

B

40

C

62

D

72

Text Solution

AI Generated Solution

The correct Answer is:
To find the approximate value of the expression given in the question, we will break it down step by step. ### Step 1: Calculate 55.01% of 2199 To find 55.01% of 2199, we can approximate 2199 to 2200 for easier calculations. \[ 55.01\% \text{ of } 2200 = \frac{55.01}{100} \times 2200 \] Calculating this gives: \[ = 0.5501 \times 2200 \approx 1210.22 \] ### Step 2: Calculate the denominator (67.023 + 54.12) Now, we will simplify the denominator: \[ 67.023 + 54.12 \approx 67 + 54 = 121 \] ### Step 3: Calculate the first part of the expression Now we can substitute these values into the expression: \[ \frac{1210.22}{121} \] Calculating this gives: \[ \approx 10 \] ### Step 4: Calculate \(2.034 \times 12.01 + 6.02\) Next, we will calculate \(2.034 \times 12.01\). We can approximate \(2.034\) to \(2\) and \(12.01\) to \(12\) for easier calculations: \[ 2 \times 12 = 24 \] Now, add \(6.02\) (approximately \(6\)) to this: \[ 24 + 6 = 30 \] ### Step 5: Combine the results Now we can combine the results from Step 3 and Step 4: \[ 10 + 30 = 40 \] ### Final Answer Thus, the approximate value of the expression is: \[ ? \approx 40 \]
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