Answer:
76
Step-by-step explanation:
so first the equation for the situation has been given which is
194=1/2x + 2x - 16
now you can just solve since it's a linear equation
194=2.5x -16
take 16 to the other side to get
210=2.5x
solve to get x (adult price)
which is 84
remember the. child's price is 8 less
84-8=76
Answer:
10
Step-by-step explanation:
h(x) = -(-5) + 5
h(x) = 5 + 5
h(x) = 10
Answer:
angle C =160 degree
Step-by-step explanation:
since the given triangle is an isosceles triangle their base angles must be equal. So,
x - 10 =x/2
2(x - 10) =x
2x - 20 = x
2x - x = 20
x = 20
for angle B
x - 10
20 - 10
10 degree
for angle A
x/2
20/2
10
For angle c
angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)
10 + 10 + angle C =180
20 + angle C =180
angle C =180 - 20
angle C =160 degree
Average (mean) = (sum of all the data) / (# of data)
sum of all the data = (average)(# of data)
Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300
and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500
Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %
Now if there are x # of advanced students and y # of regular students, then
x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)
The second equation can be simplified to x - 2y = 0
Subtracting the two equations yields
x = 60 and y = 90
Therefore you would need 60 advanced and 30 regular students.
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