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:
<h2>A. Switch the inequality sign</h2>
Step-by-step explanation:
When multiplying, you must switch the inequality sign. This is also true when dividing.
EXAMPLE 1:
-4r < -21
Note: We reversed the inequality sign when we divided by -4
r > 5 1/4
EXAMPLE 2:
x/-5 <u>></u> 7
Note: We reversed the inequality sign when we multiplied by -5
x <u><</u> -35
I'm always happy to help :)
Answer:
Square
Step-by-step explanation:
Plot points A (10,-4), B (6,-7), C (3,-3), D (7,0) on the coordinate plane.
Find slopes of the sides:
The slopes of opposite sides are the same, so opposite sides are parallel. The slopes of adjacent sides have product of -1, then adjacent sides are perpendicular.
Find the lengths of all sides:
All four sides are of the same length.
Quadrilateral ABCD is a square (all sides of equal length and perpendicular)
Answer:
35
Step-by-step explanation:
