Answer:
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
Solve the exponents
Collect like terms
Take square roots
Expand
Split
X^2 + 2x - 15
(x - 3) (x + 5)
B. (x - 3)
Answer:
192 children and 145 adults were admitted.
Step-by-step explanation:
Let c represent the amount of children and let a represent the amount of adults.
Total fees for children = (Fee for one child) x (Amount of children) = 6.5c
Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a
Total fees = Total fees for children + Total fees for adults
3423 = 6.5c +15a
We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.
Sub this in to the equation above to get:
3423 = 6.5c +15 (337-c)
3423 = 6.5c + 5055 - 15c
-1632 = -8.5c
c = 192
So there were 192 children.
Since a=337-c and c=192, a=337-192=145. So there were 145 adults.
