Answer:
72 adult tickets were sold and 114 child tickets were sold.
Step-by-step explanation:
x+y=186, 14x=10y=2148
x=186-y
14(186-y)+10y=2148
2604-14y+10y=2148
2604-4y=2148
-4y=-456
y=144
x=186-144 : x=72
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
Answer:
c) 3x - 45 = 10
Step-by-step explanation:
Cross multiply,
3*(x - 15) = 2*5
3*x - 3*15 = 10
3x - 45 = 10
Hope this answer helps :)
The interior angles of a triangle add up to 180 degrees
3x + 2x + x = 180
6x = 180
x = 180/6
x = 30
< C = 2x.......2(30) = 60 <===
< B = 3x.......3(30) = 90
< A = x................. = 30
