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0.0005 xx 76xx10^(3) + ? = 170% of 29.9...

`0.0005 xx 76xx10^(3) + ? = 170% ` of 29.98

A

12

B

16

C

18

D

15

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(0.0005 \times 76 \times 10^{3} + ? = 170\% \text{ of } 29.98\), we will follow these steps: ### Step 1: Calculate \(170\%\) of \(29.98\) To find \(170\%\) of \(29.98\), we can convert the percentage to a decimal and multiply: \[ 170\% = \frac{170}{100} = 1.7 \] Now, we calculate: \[ 1.7 \times 29.98 \approx 1.7 \times 30 = 51 \] (We approximate \(29.98\) to \(30\) for easier calculation.) ### Step 2: Calculate \(0.0005 \times 76 \times 10^{3}\) Now, we calculate the left side of the equation: \[ 0.0005 \times 76 \times 10^{3} \] First, calculate \(0.0005 \times 10^{3}\): \[ 0.0005 \times 10^{3} = 0.5 \] Now, multiply by \(76\): \[ 0.5 \times 76 = 38 \] ### Step 3: Set up the equation Now we have: \[ 38 + ? = 51 \] ### Step 4: Solve for \(?\) To find \(?\), we subtract \(38\) from \(51\): \[ ? = 51 - 38 = 13 \] ### Final Answer Thus, the value of the question mark \(?\) is \(13\). ---
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