Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)
Answer:
(9, 3)
Step-by-step explanation:
When a point is rotated 180 degrees, you take the opposite of the coordinates.
i.e (5, 6) ---> (-5, -6)
Answer:2.7=n
Step-by-step explanation:
n+27=11n
Move the variable to one side so subtract n
27=10n
Divide by 10
2.7=n
I'm not sure if this what you were asking for