To find 5/12-3/8, you have to find a common denominator. A common denominator of 12 and 8 could be 24. So, you multiply 5/12, both the numerator and the denominator by 2, which gives you 10/24. Then, you multiply 3/8 both by 3 to get the common denominator of 24. 3/8x 3 is 9/24. So, 10/24-9/24 is 1/24 because you only subtract the numerator and keep the denominator the same.
Answer:
1) B) 123 years
2) B) 51 years
Step-by-step explanation:
1)given information
2) 2011-1960=51
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
X^2 - 4x + 2
d = b^2 - 4ac, where a = 1, b = -4 and c = 2
d = (-4)^2 - 4 x 1 x 2
d = 16 - 8
d = 8
