$3.79 / 6 = $0.63
$4.50/9 = $0.50.
$6.80 / 12 = $0.56
The 9 pack
Y= -1/3x-4 (the first one)
Answer:
7n - 1
Step-by-step explanation:
notice that the difference between adjacent terms is 7.
so nth term is given by:
nth term = first term + (n-1)×difference (n is any number)
= 6 + (n-1)7
= 6+ 7n -7
= 7n - 1
hope this helps :-))
Answer: Karen picked 1200 pounds.
Bob picked 600 pounds.
Gina picked 400 pounds.
Step-by-step explanation:
Let x represent the number of pounds of oranges that Karen picked.
Let y represent the number of pounds of oranges that Bob picked.
Let z represent the number of pounds of oranges that Gina picked.
Karen picked twice as many pounds as Bob. It means that
x = 2y
y = x/2
Karen picked 3 times as many as Gina picked. It means that
x = 3z
z = x/3
The total weight of the oranges they picked was 2,200 pounds. This means that
x + y + z = 2200- - - - - - - - - -1
Substituting y = x/2 and z = x/3 into equation 1, it becomes
x + x/2 + x/3 = 2200
Cross multiplying by 6, it becomes
6x + 3x + 2x = 13200
11x = 13200
x = 13200/11
x = 1200
y = 1200/2 = 600
z = 1200/3 = 400
The point at which a line intersects the x axis is also the point where y=0. Therefore, we can set the equation to 0 and solve it.
![y= \frac{-2}{5}x+12 \\ \frac{-2}{5}x+12=0 \\ \frac{2}{5}x=-12 \\ 2x=-60 \\ \boxed{x=-30}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-2%7D%7B5%7Dx%2B12%20%5C%5C%20%20%5Cfrac%7B-2%7D%7B5%7Dx%2B12%3D0%20%5C%5C%20%20%5Cfrac%7B2%7D%7B5%7Dx%3D-12%20%5C%5C%202x%3D-60%20%5C%5C%20%5Cboxed%7Bx%3D-30%7D%20%20%20)
Therefore, it intersects the x axis at
(-30,0)