To find the sum of the product of 5 and 0.25 and the product of 0.75 and 8, we can proceed with the following steps:
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Calculate the product of 5 and 0.25: \[ 5 \times 0.25 = 1.25 \]
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Calculate the product of 0.75 and 8: \[ 0.75 \times 8 = 6 \]
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Now, add the two results together: \[ 1.25 + 6 = 7.25 \]
Therefore, the sum of the product of 5 and 0.25 and the product of 0.75 and 8 is \(\boxed{7.25}\).