9m-28=2m
9m-28-2m=2m-2m
(9m-2m)-28=0
7m-28=0
7m-28+28=0+28
7m=28
(7m)/7 = 28/7
m=4
Answer: i. There are 140 students willing to pay $20.
ii. There are 200 staff members willing to pay $35.
iii. There are 100 faculty members willing to pay $50.
Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.
For each concert:
A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?
C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?
The GCF of 16 and 40 is 8.
16/8 = 2
40/8 = 5
We can rewrite this using the distribute property like so:
<h3><u>8(2 + 5)</u></h3>
Using the distributive property:
16 + 40
16 + 40 = 56
We can also add inside the parentheses and multiply and we'll get the same answer.
8(7)
56
Answer:
21 kilometers
Step-by-step explanation:
Let the height be 
. Then, the length of the base is 
. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to 
, which is in turn equal to 441. Since must be positive, then 
, meaning that the height is 
kilometers.
