X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
Answer:
s
wd\\\Step-by-step explanation:
Answer:
Step-by-step explanation:
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse
Answer:
168.168 square inches
Step-by-step explanation:
Given data
From the question, we can deduce that the side of the square is 28in
Hence the area of the square is
Area= 28^2
Area= 784 square inches
Also, the diameter of the circle is 28 in
The radius = 14 in
Area of circle= πr^2
Area= 3.142*14^2
Area= 3.142* 196
Area= 615.832 square inches
Therefore the area of the shaded region is
= Area of Square - Area of Circle
= 784-615.832
=168.168 square inches
