Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:

For the capacity, we have:

For the tickets sold, we have:

Half as many as adults are children implies that:

Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)

Substitute
in (1) and (2)
-- (1)


Make S the subject

-- (2)



Substitute 



Solve for A


Recall that: 


Recall that: 



Hence, the result is:



Y=-2x-7
Y=mx+b where m is the slope and b is the y-intercept
Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
Answer:
y = 4
Step-by-step explanation:
8(y+4)-2(y-1)=70-3y
8y+32-2y+2=70-3y
Grouping of like terms
8y-2y+3y=70-32-2
9y=36
Divide both sides by 9
9y/9 = 36/9
9 cancels itself and 9.
y=36/9
y=4
Therefore, y = 4.
Hope it helps.
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