Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Answer:
It increased by 12°F between the noon and evening
Step-by-step explanation:
Answer:
9 correct
Step-by-step explanation: 60% of 15 = 9
First we need to know both the formula of A and B.
The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.
The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.
To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p
Collecting terms gives us
-1 = -0.1p
Now we have to divide by -0.1 and we get.
10 = p
p = 10
So our answer: after 10 checks both accounts cost the same amount of money. Answer A.
Answer:
a=7
Step-by-step explanation:
The image is rendered and attached below.
Triangle WXY is an Isosceles right triangle, since WX=XY.
First, we determine the length of WY using Pythagoras Theorem.

Since triangle WXY is Isosceles, 

Therefore:
Triangle WYZ is a right triangle with WZ as the hypothenuse.
Applying Pythagoras Theorem
