3 sin x + 5 cos x = 0
3 sin x = - 5 cos x /: cos x ( divide both sides by cos x )
3 sin x / cos x = - 5
3 tan x = - 5
tan x = -5/3
x = arc tan (-5/3)
x ≈ - 59.036°
Let
x---------> the rate of the boat in still water in mph
y--------> the rate of the current in mph
we know that
Upstream

equation 
Downstream

equation 
Adds equation
and equation 

Find the value of y

therefore
the answer is
the rate of the boat in still water is 
the rate of the current is 
Step-by-step explanation:
This is a classic puzzle!
The answer is that the probability that the last person ends in up in his proper seat is exactly
1
2
The reasoning goes as follows:
First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:
1
2
.
Sorry, no clue about a physical system
The answer in order is b a c
Answer:
575
Step-by-step explanation:
.16x = 23 + .12x
Subtract .12x and then divide and get
.04x = 23
x = 575 minutes