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:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Answer:
rational
Step-by-step explanation:
V=4/3 π •r^3 multiply both sides with 3
3•36π=4π • r^3
108 π=4 π • r^3
r^3 =108 π/4 π
r=3 inch
Answer:
x=90
Step-by-step explanation:
So, since x-20 is the vertical angle directly near 70, we can say:
x-20=70.
if we solve x is 90.
HOPE IT HELPS!!!!!!!!!!!
