Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies.
For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.
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The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 22116, find the fraction.
Then Denominator=2x+1
Fraction =2x+1x
Reciprocal of the fraction =x2x+1
It is given that the sum fo the fraction and its reciprocal is 22116
∴2x+1x+x2x+1=22116
⇒x(2x+1)x2+(2x+1)2=2158⇒2x2+x5x2+4x+1=2158
⇒21(5x2+4x+1)=58(2x2+x)⇒105x2+84x+21=116x
⇒11x2−26x−21=0⇒11x2−33x+7x−21=0⇒11x(x−3)+7(x−3)=0
⇒(11x+7)(x−3)=0⇒x=3,−117
∵ x can not be a negative
⇒x=3
The answer is 3 .
Hope this helps you.
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Answer:
8 comedy,6 actions,5 fantasy movies and 1 drama movies
Step-by-step explanation:
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