A+s=2000
5a+3s=8500
a=-s+2000
-5s+10000+3s=8500
-2s=-1500
s=750
a=1250
They sold 750 student tickets and 1,250 adult tickets
Step-by-step explanation:
SinA=1/3=p/h
p=1,h=3,and b=?
Using Pythagoras Theorem,
b=√3^2-1^2
b=√9-1
b=√8=2√2
Now,
CosA=b/h=2√2/3
TanA=p/b=1/2√2
There is no phi in my keypad so I use A angle instead of phi.Adjust it.
Answer:
k = -1/240
Step-by-step explanation:
to evaluate the value of k in the expression 1/3k+80=1/2k+120
we have
1/3k+80=1/2k+120
collect the like terms for easy evaluation
1/3k - 1/2k = 120 -80
1/3k - 1/2k = 40
find the lcm
2 - 3/6k = 40
-1/ 6k = 40
cross multiply
6k x 40 = -1
240k = -1
divide both sides by 240
240k/240 = -1/ 240
k = -1/240
therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240
Answer:
31.25 seconds
Step-by-step explanation:
Examine division
11.6 + 24.4 = 36 m < 50m
and 36 + 37.2 - 73.2m > 50m
50 - 36 = 14m
14 * 23.25/37.2 = 8.75 seconds
7.25 + 15.25 + 8.75 = 31.25 seconds
so it would take him 31.25 seconds to swim 50 meters.
