You should pick none of the above
Answer:
(15,-30)
Step-by-step explanation:
By forming a proportional relationship with the marked point, what we are saying is that the same dilation if applied to each coordinates of the marked point will form the new point
The marked point is given as (-20,40)
If we dilate this by -0.75 units
That will give (15, -30)
So this forms a proportional relationship with the marked point
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
First, we want to distribute the 2z to what's in the parentheses:
Then we need to distribute the negative sign outside of the parentheses in order to make it easier to solve and combine like terms:
Now we combine like terms. The '2z' and '-2z' cancel each other out, so:
Then we solve for z by dividing by -6 on both sides:
So now we know that z = -8.
