To calculate a 35% tip on a dinner cost of $56.25, you can follow these steps:
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Convert the percentage to a decimal: 35% = 0.35.
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Multiply the dinner cost by the decimal:
\[ \text{Tip} = 56.25 \times 0.35 = 19.6875 \]
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Round the result to the nearest hundredth:
\[ 19.6875 \approx 19.69 \]
Therefore, Raphael should leave a tip of $19.69.