Jamil has already 6 3/4 cups of butter.
He need 12. SO in order to get the needed butter, we subtract 6 3/4 to 12.
= 12 - 6 3/4
= 11 4/4 - 6 3/4
= 5 1/4
So Jamil needs 5 1/4 cups of butter to achieve the 12 cups.
We know that
the capacity of container is 1 quart--------> 0.25 gallon------> 1/4 gallon
so
1/4 gallon-----------------> 1 time
5 gallons----------------> X times?
X=5/(1/4)--------> X=20 times
the answer is
20 times
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
