Easy
219/3=73Beats per minute
Step-by-step explanation:
<u>to show how many tickets were sold:</u>
x = upper floor tickets
y = main floor tickets
x + y = 2000
<u>to show total amount of revenue:</u>
25x + 40y = 62,000
<u>Finding answer using both equations:</u>
x + y = 2000
multiply each side by 25
25x + 25y = 2000 × 25
25x + 25y = 50,000
25x + 40y = 62,000
-
25x + 25y = 50,000
-----------------------------------
15y = 12,000
^ this is column subtraction
<em>^ this column subtraction is done to isolate y so we can work with one value rather than 2</em>
15y = 12,000
divide each side by 15
12,000 ÷ 15 = 800
y = 800
x + y = 2000
x + 800 = 2000
x = 1200
Therefore 1200 upper-level tickets were sold
800 main floor tickets were sold
Slope/m=3-(-7)/-3-2=10/-5=-2
slope/m=-2
y=-2x+b
b= 3=-2*-3+b
b=-3
Its negation is not always true. You can be unhappy while not being hungry!
Answer:
a) t = 4 secs
b) t = 3 secs
Step-by-step explanation:
h = 64 ft
Initial velocity = 48 ft/s
S = 64 + 48t - 16t^2
a) Set S = 0 and solve for t
0 = 64 + 48t - 16t^2
Divide through by 16
0 = 4 + 3t - t^2
t^2 - 3t - 4 = 0
t^2 - 4t + t - 4 = 0
t(t - 4) + 1(t - 4) = 0
(t + 1) (t - 4) = 0
t + 1 = 0 or t - 4 = 0
t = -1 or t = 4
t = {-1,4}
t = 4 seconds
b) Set S = 64 and solve for t
64 = 64 + 48t - 16t^2
64 - 64 = 48t - 16t^2
0 = 48t - 16t^2
Divide through by 16
0 = 3t - t^2
t^2 - 3t = 0
t(t - 3) = 0
t = 0 or t-3 = 0
t = 0 or t = 3
t = {0,3}
t = 3 secs
