Fractions need common denominator to add or subtract them because without denominators a fraction is not a fraction, it is a whole number
Example - 2/8 is a fraction
but 2 is not a fraction
Answer:
924 teenagers
Step-by-step explanation:
154 / 500 ×3000
= 924
Since 154 teenagers out of 500 prefer action movies, you'll just divide them by their total number 500 multiplied by the other total number 3000 to get the others who prefer action movies.
trying the others too
sci- fi
116 / 500 × 3000
= 696
romance
109 / 500 × 3000
= 654
comedy
78 / 500 × 3000
= 468
drama
43 / 500 × 3000
= 258
putting all of them together should give u ur total number
924 + 696+ 654 + 468 +258
= 3000
Answer:
x=4
Step-by-step explanation:
<u>Step 1</u>:-
given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.
AB = 2x and BC = 3(x+1) and longest side AC= 17
by using Pythagoras theorem

<u>step 2:-</u>
The hypotenuse is longest side is AC = 17 units
(17)^2 = 4x^2 +9(X+1)^2
on simplification, we will use formula

289 = 4x^2 +9(x^2+2x+1)

finding factors 70 X 52 = 3640


Taking common , we get
13x(x-4)+70(x-4)=0
x-4=0 and 13x+70=0
x=4 and 
x=4 and 
we can not choose negative value so x value is 4
Final answer:- x = 4
<u>verification:-</u>
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289 = 4(4)^2+9(4+1)^2
289 = 64 +9(25)
289=289