Answer: 565 general admission and 430 lower-level seating tickets sold (Answer (D))
Steps:
Let x be the number of general admission tickets, and y be the number of lower level tickets.
Set up the two equations:
68762.5 = x * 47.50 + y * 97.50 (total price as a sum of individual volumes)
x + y = 995 (sum of individual count = total count of tickets sold)
solve for x, y:
x = 995 - y
plug into the first equation:
68762.5 = (995-y) * 47.50 + y * 97.50
solve for y:
y = 430
then x = 565
x = 565 and y = 430
There are 16 ounces in a pound so all you have to do is multiply 16 and 3.
16*3=48
ANSWER= 48 ounces
Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1
The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22
Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43
Quick check: 47 + 90 + 43 = 180
Answer:
The probability of getting 2 socks of the same color is 1/3.
Step-by-step explanation:
In the drawer,
Number of blue socks = 4
Number of white socks = 8
Number of gray socks = 4
Total number of socks = 4 + 8 + 4 = 16
Total ways to select 2 socks form 16 socks is

Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks
= 
= 
= 
The probability of getting 2 socks of the same color is



Therefore, the probability of getting 2 socks of the same color is 1/3.
Micah was asked to add the following expressions:

First, he combined like terms in the numerator and kept the common denominator
First step is correct. He added the like terms in the numerator, because the denominators are same.

So he got , 
In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2
If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.
So Micah added the expression incorrectly. Final answer is not correct.