To find the expressions that represent the time Whitney spends listening to her favorite podcast over a five-day period, we start with the information provided: Whitney listens to her podcast for \( \frac{7}{9} \) of an hour each day.
To calculate her total listening time over five days, we need to perform the following calculations:
- 5 times \( \frac{7}{9} \) or \( 5 \times \frac{7}{9} \) represents her total time over five days.
- Adding \( \frac{7}{9} \) five times, which is \( \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} \).
- We can also express it in a simpler form, which calculates to \( \frac{5 \times 7}{9} = \frac{35}{9} \).
Next, let’s look at the options provided:
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\( 79 + 79 + 79 + 79 + 79 \): This is incorrect because it doesn't correspond to \( \frac{7}{9} \).
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\( \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} \): This is correct as it sums up the time for each of the five days.
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\( 5 \times \frac{7}{9} \): This is correct and represents the total time over five days.
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\( 359 \): This is incorrect; it doesn't represent the time in any relevant form.
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\( 5 + \frac{7}{9} \): This is incorrect as it does not represent the total time for five days.
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\( \frac{12}{9} \): This is incorrect; it does not represent the total time for five days either.
Thus, the correct expressions that represent the time Whitney spends listening to the podcast over a five-day period are:
- \( \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} \)
- \( 5 \times \frac{7}{9} \)
- \( \frac{35}{9} \) (which can be derived from the correct summing method but may not be explicitly listed as an option in your context).
So the 3 applicable choices are:
- \( \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} \)
- \( 5 \times \frac{7}{9} \)
- The derived sum can be termed \( \frac{35}{9} \) if applicable in context.
If only three expressions are needed from the list, choose the first two.
1 answer