To solve the expression \( \frac{60(3) + 65(5) + 70(6) + 75(8) + 80(8) + 85(4) + 90(1) + 95(2)}{8} \), we first calculate the numerator:
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Calculate each term:
- \( 60(3) = 180 \)
- \( 65(5) = 325 \)
- \( 70(6) = 420 \)
- \( 75(8) = 600 \)
- \( 80(8) = 640 \)
- \( 85(4) = 340 \)
- \( 90(1) = 90 \)
- \( 95(2) = 190 \)
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Now, add these results together: \[ 180 + 325 + 420 + 600 + 640 + 340 + 90 + 190 \] = \( 180 + 325 = 505 \)
= \( 505 + 420 = 925 \)
= \( 925 + 600 = 1525 \)
= \( 1525 + 640 = 2165 \)
= \( 2165 + 340 = 2505 \)
= \( 2505 + 90 = 2595 \)
= \( 2595 + 190 = 2785 \) -
The sum of the terms is \( 2785 \).
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Finally, divide by \( 8 \): \[ \frac{2785}{8} = 348.125 \]
Thus, the final result is \( 348.125 \).