Answer:

Step-by-step explanation:
The general direct variation equation is
y = kx
Plug in x = 4 and y = 6 and solve for k.
6 = k * 4
4k = 6
k = 6/4 = 3/2

Answer:
0.58333333333
Simplify is 0.6
Step-by-step explanation:
i think
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
Eight x plus y equals two over seven
Answer:
Option C. 
Step-by-step explanation:
see the attached figure N 1 to better understand the problem
we know that
The trapezoid can be decomposed into two right triangles and a rectangle
see the attached figure N 2
so
The area of the trapezoid is equal to the area of two right triangles and one rectangle
The area of trapezoid is equal to


