Answer:
125 adults
175 children
Step-by-step explanation:
3900=8c+20a
300=c+a
c=300-a
substitute
3900=8(300-a)+20a
reduce
3900=2400-8a+20a
1500=12a
a=125 adults
substitute for a
c=300-a
c=300-125
c=175 children
I believe that the answer is 22x
Answer:
Venus fly trap = 12
Bonsai tree = 17
Step-by-step explanation:
Given that :
Venus fly trap = $3per plant
Bonsai tree = $5 per plant
Number of plants sold = 29
Total cost of plant sold = $121
Let venus fly trap = x ; bonsai tree =y
x + y = 29 ___ (1)
3x + 5y = 121 ____(2)
From (1) :
x = 29 - y
In (2):
3(29 - y) + 5y = 121
87 - 3y + 5y = 121
87 + 2y = 121
2y = 121 - 87
2y = 34
y = 34/2
y = 17
x = 29 - 17
x = 12
Hence,
Venus fly trap = 12
Bonsai tree = 17
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
