Verified Answer :

twvogels

Start by calling the time spend on announcements 'A'. We can then set up an equation to represent the problem:

\(A=24hours \times \frac{1}{40}\)

and then solve by multiplication to get:

A=0.6hours

We could also convert this into minutes:

\(A=0.6hours \times \frac{60mins}{1hour} = 36mins\)

Answer: They spent 0.6 hours =36 minutes on public service announcements each day.

Step-by-step explanation:

Since we have given that

Number of hours in a day  = 24 hours

Fraction of hour a radio station spends on public service announcements = \(\dfrac{1}{40}\)

So, Number of hours spent on public service announcements each day would be

\(\dfrac{1}{40}\times 24\\\\=\dfrac{24}{40}\\\\=0.6\ hours\)

As we know that

1 hour = 60 minutes

0.6 hours = 0.6×60 = 36 minutes

Hence, they spent 0.6 hours = 36 minutes on public service announcements each day.

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