Answer:
False
Step-by-step explanation:
2cos^2(4x) - 1 = cos(8x)
cos(8 *pi/12) = cos(2pi/3) = cos(pi - pi/3) = - cos(pi/3)= 1/2, which is not 0
cos(8x) = 0
==> 8x = 0 or pi
==> x = 0 or pi/8
Answer:
$31.25
Step-by-step explanation:
multiply 25 by 1.25
Answer:
(3,2)
Step-by-step explanation:
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
X is cheeseburgers and y is hamburgers
x + y= 351
2x+y=351
Now I can do 351 divided by 3 which gives me 117. Since 117+117+117 is 351 and the number of cheeseburgers sold was twice the amount as hamburgers. I will say that there was 117+117 cheeseburgers sold and there were 117 hamburgers sold.
Hope it makes sense.....
