Let the price of a ticket be originally T dollars, and the number of clients be N.
let the price decrease by x 3-dollars.
"there is an average increase of 4 people for every $3 decrease on the price of the ticket."
means:
if the price is decreased by 1-3$:
then N become N+4, and T becomes T-3
if the price is decreased by 2-3$:
then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3
So if the price is decrease by x-3 dollars:
N becomes N+4x, and T becomes T-3x
"A circus owner sells an average of 340 tickets when the price of a ticket is $75."
In this case N=340, and T=75$
If the owner does not change the price ticket, x=0, the revenue is 340*75,
If the owner decreases the price of the tickets by x-3$, then the revenue will be
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,
If R is the function of the revenue depending on x, then
R(x)=(340+4x)(75-3x) dollars
Answer: R(x)=(340+4x)(75-3x) dollars
Answer:
(d-3)/2
Step-by-step explanation:
Difference is subtraction
(d-3)/2
Hello there! The area of the triangle portion is 11 square units, the area of the rectangle portion is 77 square units, and the area of the entire figure is 88 square units.
To find the area of the triangle, we can follow the formula:
A = LW/2 (which means length x width divided by 2)
Given the formula:
2 • 11 = 22
22 divided by 2 gives us 11 square units.
To find the area of the rectangle portion, we can follow the area formula:
A = LW (which means area = length x width)
Given the formula:
7 • 11 = 77 square units
To find the area of the whole figure, we add the areas of both isolated shapes:
11 + 77 = 88 square units.
Therefore, our area for the entire figure is 88 square units. If you need any extra help, let me know and I will gladly assist you.
Answer:
288 ft³
Step-by-step explanation:
Volume of the pyramid,
base area × height × (1/3)
= (9×8)×12/3
= 72×4
= 288 ft³
Answer:
YES
Step-by-step explanation:
For a triangle of sides a, b, c, we must have the following to be true to have a triangle.
a + b > c > |a - b|
b + c > a > |b - c|
a + c > b > |a - c|
if a=8, b=7, and c=9, we have that:
8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.
7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.
8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.
Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.
