1: not sure what you mean
2: to add and subtract, get common denominator. To multiply, multiply the terms horizontally. To divide, multiply by the reciprocal
3: multiply by reciprocal. Multiply the number part and fraction part.
4: volume=length*width*height
5: count all the cubes inside
Answer:
60 Hours
Step-by-step explanation:
First let's get all fractions equivalent.
1/5 7/12 1/20 We can make the common denominator 60
12/60 35/60 3/60
So these three parts of his week take up 50/60 or 5/6 of his time. That means he only has 1/6 left. The question also tells us after all of this he only has 10 hours left, so 1/6 = 10 hours. If you have 1/6 of something how do you find one whole? or 6/6. You multiply it by 6. so 10*6 = 60, which means every week he works 60 hours.
How do we answer? Try or false?
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
100 ÷ 3 = 33.3333333333 ÷ 100 = 0.333333333333x <-- somewhere around that.
0.333333333333x times 2 = 0.666667x <<< is your answer btw i just rounded your answer! :)
Hope this helps! :)