Since the ratio is 1:3, let's just say there are 4 parts to the punch
first, divide the 32cups by 4 parts: 32÷4=8
this means there are 8cups per part
the ratio 1:3 means orange got 1 part and water got 3 parts so 1 part×8cups=8cups
So, James punch required a total of 8 cups of orange concentrate.
Mean, or average.
The mean is 5.625
x+y= 4 (-2)
3x+2y = 9
-2x -2y = -8
3x +2y = 9
x = 1
1+y =9
y = 9-1
y =8
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
----------------------------------------------------
Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
