To find the answer, set up a system of equations.
Let x=adult tickets and y=senior citizen tickets.
x+y=556
22x+12y=8492
Change the first equation to make it easy to combine with the second equation.
y=556-x
Now substitute (556-x) for y in the second equation.
22x+12(556-x)=8492
Simplify and combine like terms.
22x+6672-12x=8492
10x=1820
x=182
182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.
556-182=374
374 senior citizen tickets were sold.
Step-by-step explanation:
A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm
---> x^2 = h^2 + (b/2)^2
= (4.8 cm)^2 + (2.5)^2
= 23.04 cm^2 + 6.25 cm^2
or x = 5.41 cm
Therefore, the perimeter P is
P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm
(-6.5,0)
I hope this helps!
