To determine the expressions that represent the time Erin spends watching YouTube over a five-day period, we need to consider that she watches \( \frac{8}{11} \) of an hour each day. Over five days, she will spend:
\[ 5 \times \frac{8}{11} \]
Now, let's analyze each option provided:
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\( 13_{11} \) or \( \frac{13}{11} \) - This does not represent the total time spent; it's not equivalent to \( 5 \times \frac{8}{11} \), so not applicable.
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\( 5 + \frac{8}{11} \) - This does not correctly represent her total time as it adds an entire 5 hours to \(\frac{8}{11}\) hour, which is incorrect. So not applicable.
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\( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \) - This correctly represents the total time spent over five days, as it adds \(\frac{8}{11}\) for each of the 5 days. So applicable.
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\( 40_{11} \) or \( \frac{40}{11} \) - This is the result of multiplying \( 5 \times \frac{8}{11} \) because \( 5 \times \frac{8}{11} = \frac{40}{11} \). So applicable.
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\( 5 \times \frac{8}{11} \) - This is the direct calculation of the time spent by multiplying the daily viewing time by the number of days. So applicable.
Thus, the three correct expressions are:
- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)
- \( \frac{40}{11} \)
- \( 5 \times \frac{8}{11} \)
1 answer