Let x be the unknown amount of child tickets
Let 450 - x be the unknown amount of adult tickets (This is because the total amount subtracted from the child tickets can only be the adult tickets since there are no other tickets)
2x+5(450-x)=1800
(2x because each child ticket cost $2 and same for the adult tickets. Each adult ticket cost $5. So, the sum must be 1800.)
Simplify the equation.
2x+5(450-x)=1800 *Distribute*
2x+2250-5x=1800 *Combine like terms. (2-5=-3)*
-3x + 2250 = 1800 *Move constants and variables to opposite sides*
-2250 -2250
---------------------------
-3x=-450 *Divide by 3 to isolate the variable*
---- ------
-3 -3
x=150
So, there are 150 child tickets. To find adult tickets, just subtract children tickets from the amount of tickets bought (450-150) to get 300 adult tickets sold.
We are given:
The number of blocks Tegan still needs to make = m.
The number of blocks Tegan has completed = c.
Total number of more snow blocks need to make = 68 .
Total number of more snow blocks need to make = Total number of blocks - The number of blocks Tegan has completed.
m = 68 - c.
Therefore, the equation for the number of blocks Tegan still needs to make, m, when she has completed c blocks is
<h2>m = 68 - c.</h2>
Answer:
165
Step-by-step explanation:
formula is
nCr = n!/(r!(n−r)!)
r= 8 = number of choosing objects from the set
n = 11 = total number of objects in the set
C(n,r)=C(11,8)
=11!/(8!(11−8)!)
! means factorial
factorial means to multiply by decreasing positive numbers.
For example, 8! = 8 ∗ 7 ∗ 6 ∗ 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 40320
=11!/8!×3!
= 165
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Answer:
1. The vertex of the function is at (1,-25)
5. The graph is a negative on the Entire interval -4<x<6
