Answer:
Step-by-step explanation:
R=50+20t, B=150-20t they will be the same height when
50+20t=150-20t
50+40t=150
40t=100
t=2.5, usingvthis value for t in either original equation will give you the height.
h=50+20(2.5)
h=100m
Answer:
jumbo 23 oz, grande 16 oz
Step-by-step explanation:
Use g for grande and j for jumbo
The first equation: 28g + 33j = 1207
The second equation: 28g + 53j = 1667
Subtract the first from the second
28g + 53j = 1667
- 28g + 33j = 1207
Equal 20j = 460
j = 23
Put 23 in for j in either equation and solve for g:
28g + 33(23) = 1207
28g + 759 = 1207
28g = 448
g = 16
So here's the solution to the problem:
Calculate the average sell:
1,700 * $25 = $42,500 (revenue)
And if the Opera House wants to increase their revenue:
The price of a ticket will be:
$25 - x (where x is the number of 1-dollar decreases)
The number of tickets in total:
1,700 + 200x
Therefore the equation is:
(1,700 +200x) * ( 25 - x ) = 55,000
We can also solve this equation, but the solutions are not whole numbers.
x 1 = 5.89 and x 2 =10.6
For x = 6 (6 times 1 - dollar decreases):
( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18
=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
