To find the total time Whitney spends listening to her podcast over a five-day period, we can use several expressions. Here are the applicable options:
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35/9: This represents the total time spent since \( 5 \times \frac{7}{9} = \frac{35}{9} \).
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7/9 + 7/9 + 7/9 + 7/9 + 7/9: This is a valid expression because it adds up the podcast time for each of the five days, resulting in the same total as the first option.
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5 × 7/9: This is a valid expression that directly calculates the total time by multiplying the daily time by the number of days.
The other expressions do not correctly represent the total time spent listening to the podcast:
- 5 + 7/9 does not represent the total time correctly; it incorrectly suggests adding 5 hours to 7/9 of an hour.
- 12/9 is incorrect as it does not correspond to the correct calculation for the total time in this scenario.
Therefore, the three correct expressions that represent the time Whitney spends listening to the podcast over a five-day period are:
- 35/9
- 7/9 + 7/9 + 7/9 + 7/9 + 7/9
- 5 × 7/9