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A local television station sells time slots for programs in $30$ -minute intervals. If the station operates $24$ hours per day, every day of the week, what is the total number of $30$ -minute time slots the station can sell for Tuesday and Wednesday?

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Identify quotients of rational numbers: word problems

Full solution

Q. A local television station sells time slots for programs in

30

-minute intervals. If the station operates

24

hours per day, every day of the week, what is the total number of

30

-minute time slots the station can sell for Tuesday and Wednesday?

Calculate total hours: Calculate the total hours available in one day. $24$ hours per day.
Convert to $30$ -minute intervals: Convert the total hours in one day to $30$ -minute intervals. $\newline$ $24$ hours $\times 2 = 48$ intervals per day.
Calculate total intervals for two days: Calculate the total number of $30$ -minute intervals for two days (Tuesday and Wednesday). $\newline$ $48$ intervals per day $\times 2$ days $= 96$ intervals.

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