If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
1. -1/3 - (-1/2) = .16666666666666
2. -8
Hope it helps, if you need it in fractions, you can always convert it :)
Answer:
5/2
Step-by-step explanation:
Answer:
51*pi or 160.221
Step-by-step explanation:
total volume = volume of a cone + volume of a cylinder
total volume = 1/3* pi*r^2* height(of cone) + pi* r^2 *height(of cylinder)
total volume = 1/3 * pi * 3^2 * 5 + pi * 3^2 * 4
total volume = 51*pi = 160.221
