Question

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

7×5/6
7 times 5 sixths

7+5/6
7 plus 5 sixths

35/6
35 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

12/6
12 sixths

Answer 1

To find the total time Naysha spends listening to the radio in a 7-day period, you can multiply the time she listens each day (5/6 of an hour) by the number of days (7). The expressions that represent this calculation can be derived as follows:

1. \( 7 \times \frac{5}{6} \) - This is the correct way to express the total time over 7 days.

For the other options:
- \( 7 + \frac{5}{6} \) is incorrect because it adds the daily time to 7 instead of multiplying.
- \( \frac{35}{6} \) is correct, as it is the result of multiplying 7 by \( \frac{5}{6} \) (which you can calculate as \( \frac{7 \times 5}{6} = \frac{35}{6} \)).
- \( 56 + 56 + 56 + 56 + 56 + 56 + 56 \) is incorrect because it adds up 5/6 seven times but represents it in a convoluted way. It should be \( 7 \times \frac{5}{6} \) or \( \frac{35}{6} \) instead.
- \( \frac{12}{6} \) is incorrect because it simplifies to 2 and does not represent the total time spent listening.

From the provided options, the three correct expressions to represent the time Naysha spends listening to the radio in a 7-day period are:
- \( 7 \times \frac{5}{6} \)
- \( \frac{35}{6} \)
- \( 56 + 56 + 56 + 56 + 56 + 56 + 56 \) is not correct, so only two stand.

The valid, correct expressions are:
1. \( 7 \times \frac{5}{6} \)
2. \( \frac{35}{6} \)

In conclusion, the first two expressions selected should be the only ones applicable for time Naysha spends.