Answer:
The Answer is that Orchestra seats were $15 and Balcony seats were $9.
Step-by-step explanation:
400(x+6) + 250x = 8250
400x + 2400 + 250x = 8250
650x + 2400 = 8250
650x = 5850
x = 9
Proof:
400(15) + 250(9) = 8250
6000 + 2250 = $8,250
Answer:
Let P represent the number of pies sold and J represent the number of juices sold.
a)
The first equation for the sum of the sales:
P + J = 79
P = 79 - J
Next, for the sum of the amounts earned:
1.65P + 1.36J = 118.17
Substituting P,
1.65 (79 - J) + 1.36J = 118.17
J = 42
Using this value of J,
P = 79 - 42
P = 37
b)
Mr. Sanchez's class earned: 1.65 x 37 = $61.05
Mr. Kelly's class earned: 1.36 x 42 = $57.12
So Mr. Sanchez's class earned more money.
c) Mr. Sanchez's class earned:
61.05 - 57.12
= $3.93 more than Mr. Kelly's class
Step-by-step explanation:
:)
Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
= 
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b =
6x+8y=-32
8y=-32-6x
8y/8 -6x/8
y=-3/4x-4
