First turn the whole numbers into mixed fractions:
1 1/2
multiply the whole number by the denominator then add it to the numerator which will make 3/2
doing the same thing on 1 2/3, you get 5/3
finding the LCM of 5/3, 3/2 and 3/4, you get 12
multiplying 4/4 to 5/3, you get 20/12
multiplying 6/6 to 3/2, you get 18/12
multiplying 3/3 to 3/4, you get 9/12
now you can add them easily and you get 47/20
turning that into a whole fraction, you get 2 7/20
Answer:
C.
Step-by-step explanation:
Your fractions are missing there fraction bars:
3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)
15y − 6 + 5 = 1/2 y + 5y + 2
15y − 1 = 11/2 y + 2
A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable
B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1
C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.
15y-1=11/2y+2
Subtracing 11/2y on both sides
9.5y-1=2
That looks pretty good because then you would add 1 on both sides giving:
9.5y =3
Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.
D. You could actually do this but it doesn't help you get x by itself. The equation would look like this: 15/2 y-1/2=11/4 y+1
x (x + 4) = 5
x² + 4x = 5
x²+ x + (-5) = 0
(x+3)²+(t+3)²=9
x² + 6x + 9 + t² + 6t + 9 = 9
x² + t² + 6x + 6t + 18 + (-9) = 0
x² + t² + 6x + 6t + 9 = 0
x² + t² + 6(x + t) + 9 = 0
3/x + 4/2x = x - 1
6/2x + 4/2x = x - 1
10/2x = x - 1
10 = (x - 1) 2x
10 = 2x² - 2x
0 = 2x² + (-2x) + (-10)
You can use this ratio:
1hour/60minutes=0.73hours/Xminutes
and cross multiply
so x= 43.8 minutes
