Answer
given,
opera house ticket = $50
attendance = 4000 persons
now,
opera house ticket = $52
attendance = 3800 person
assuming these are the points on the demand curve
(x, p) = (4000,50) and (x,p) = (3800,52)
using point slope formula




R(x) = x . p




at 

x = 4500

hence at x =4500 the revenue is maximum
for maximum revenue ticket price will be

p = $45
Answer: B. 12 girls
Step-by-step explanation:
Since the ratio is 4:3 we can multiply both sides by 4 to get 16 boys and the equivalent number of girls for this problem, 16:12
Answer:
Algebraic grouping symbols parentheses, brackets, braces, radicals, and fraction lines show where a group starts and ends, and help to establish the order used to apply math operations. Terms inside a grouping symbol have to be operated upon before they can be acted upon by anything outside the grouping symbol.
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Answer:
9/11
Step-by-step explanation:
12/11k÷4/3k
Copy dot flip
12/11k* 3k/4
36k / 44k
Divide the top and bottom by 4k
9/11
Answer: 410 square km
Step-by-step explanation:
The area of each of the triangles with their base on the 10 km side is
, so their combined area is
.
The area of each of the triangles with their base on the 12 km side is
, so their combined area is
.
The area of the bottom rectangular face is
.
So, the total surface area is 