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sladkih [1.3K]
3 years ago
13

an episode of an hour long tv show has three commercials each lasting 1 1/3 minutes. the intro for the show lasts 1 1/2 minutes

nd the credits last 3/4 minute. how many minutes does the actual show last when commercials intro and credits are taken out
Mathematics
1 answer:
elena-s [515]3 years ago
8 0
1 1/3 x 3 = 4
1.5 for the intro
.75 for the credits

4+1.5+.75= 6.25
60-6.25=53.75
53.75 = 53 minutes and 45 seconds
Final Answer: The actual show lasts for 53 minutes and 45 seconds
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You can model the population of a certain city between 1955-2000 by the radical function
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<em><u>Complete Question:</u></em>

You can model the population of a certain city between 1955-2000 by the radical function

P(x) = 55,000 sqrt x-1945

Using this model, in which year was the population of that city 275,000?

<em><u>Answer:</u></em>

In 1970 population of that city is 275,000

<em><u>Solution:</u></em>

Given that,

<em><u>You can model the population of a certain city between 1955-2000 by the radical function :</u></em>

P(x) = 55000\sqrt{x - 1945}

To find: year in which was the population of that city 275,000

Therefore,

x = ?

P(x) = 275000

Thus we get,

275000 = 55000\sqrt{x - 1945}\\\\Divide\ both\ sides\ by\ 55000\\\\\frac{275000}{55000} = \sqrt{x-1945}\\\\5 = \sqrt{x - 1945}\\\\Take\ square\ on\ both\ sides\\\\25 = x - 1945\\\\x = 1945 + 25\\\\x = 1970

Thus, in 1970 population of that city is 275,000

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