Answer:
Let F = Fran's income
Let W = Winston's income
Combined income is 80000 ==> F + W = 80000
One quarter of Winston's income is the same as one-sixth of Fran's income ==>
(1/4)*W = (1/6)*F
Multiply the 2nd equation by 12 to clear the fractions
3*W = 2*F
Solve this equation for F
F = (3/2)*W
Substitute this value for F into the 1st equation
(3/2)*W + W = 80000
(5/2)*W = 80000
W = (2/5)*80000 = 32000
So F = 80000 - 32000 = 48000
So Winston earns 32000 and Fran earns 48000
Check: One quarter of Winston's income is 32000/4 = 8000
One sixth of Fran'e income is 48000/6 = 8000
Step-by-step explanation: Hope this helps
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
Therefore, the required point is located as follows;
The coordinates of the point is (0, -4)
For example: if the word problem were simply "4 divided by 2", the fraction would be a 4 with a line underneath and the 2 underneath that.
I hope I made this possible to understand... let me know if you were referring to something else!
Answer:
C
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) = 4x and g(x) = 4x - 2
That is g(x) is the graph of f(x) shifted 2 units down
