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Naysha listens to the radio for 56

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

126
12 sixths

356
35 sixths

7×56
7 times 5 sixths

56+56+56+56+56+56+56
5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths

7+56

1 answer

To find the time Naysha spends listening to the radio in a 7-day period, you can use the following calculations:

  1. Multiply the time spent per day by the number of days:

    • Since Naysha listens for \( \frac{5}{6} \) of an hour each day for 7 days, you can represent this as: \[ 7 \times \frac{5}{6} \] This expression represents the total listening time over the week.

  2. Sum the daily listening time for 7 days:

    • Writing it out as: \[ \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \] is also equivalent to \( 7 \times \frac{5}{6} \).

  3. Calculating in terms of total minutes or hours:

    • Converting \( \frac{5}{6} \) of an hour into minutes gives: \[ \frac{5}{6} \text{ hours} = 50 \text{ minutes} \] Therefore, in 7 days: \[ 7 \times 50 = 350 \text{ minutes}, \text{ which can be expressed as } \frac{35}{6} \text{ hours} \]

Now to summarize, the correct expressions for calculating the total time Naysha listens to the radio in one week are:

  1. \( 7 \times \frac{5}{6} \)
  2. \( \frac{35}{6} \)
  3. \( \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \)

Responses that are valid for the question would be based on these interpretations.

So, the three correct responses from the list are:

  • \( 7 \times \frac{5}{6} \)
  • \( \frac{35}{6} \)
  • \( \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \)

Make sure to check those options in your list and select the correct three!