Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
h=V/b
Step-by-step explanation:
The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.
The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.
<u><em>function </em></u>: p(x) = 65 + 25(x)
for 3 sells
for 10 sells
So,
140 ≤ p(x) ≤ 315
Answer:
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
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