Naysha listens to the radio for 5/6

of an hour each day. Which expressions represent the time Naysha spends listening to the radio in a 7-day period? Check the THREE that apply.



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(3 points)
Responses

12/6
12 sixths

35/6
35 sixths

7×5/6
7 times 5 sixths

5/6+5/6+5/6+5/6+5/6+5/6+5/6
5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths

7+5/6

1 answer

To find the time Naysha spends listening to the radio in a 7-day period, we can calculate it using the expression for daily listening time (5/6 of an hour) multiplied by the number of days (7 days).

Here are the options evaluated:

  1. 12/6 – This simplifies to 2, which does not represent the total time spent listening to the radio over 7 days. (Not correct)

  2. 35/6 – This could represent 7 × (5/6), but it does not encapsulate that correctly in terms of daily listening over 7 days. (Not correct)

  3. 7×5/6 – This correctly represents the total time Naysha listens to the radio over 7 days (7 times 5/6). (Correct)

  4. 5/6+5/6+5/6+5/6+5/6+5/6+5/6 – This expression adds up 5/6 for each day over 7 days, which also correctly represents the total time. (Correct)

  5. 7+5/6 – This expression does not correctly represent the total listening time as it adds 7 and 5/6 instead of multiplying. (Not correct)

The correct expressions representing the time Naysha spends listening to the radio in a 7-day period are:

  • 7×5/6
  • 5/6+5/6+5/6+5/6+5/6+5/6+5/6

So the correct options to select are:

  • 7×5/6
  • 5/6+5/6+5/6+5/6+5/6+5/6+5/6

Please note that there is only one expression (7×5/6) that counts towards total time duration numerically, while the other adds up numerically but represents the same duration by counting instances. If only three answers must be chosen, you might consider the operations; however, if you select the correct operations and repetitions in summation as they infer the duration.

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