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:
The total area for all 16 hamburgers is <u>113.04 in²</u>.
Step-by-step explanation:
Given:
Chris made hamburgers for his family and they each had a diameter of 3 in.
If he made 16 hamburgers.
Now, to find the total area for all 16 hamburgers.
So, the diameter 3 in is given and we need first to find the radius:

Now, to get the area of a hamburger we put formula:
<u><em>(Taking the value of π = 3.14.)</em></u>

Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:

Therefore, the total area for all 16 hamburgers is 113.04 in².
We are given two points: (4, -8) and (8, 5)
General equation of a line: y = mx + c
First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient
(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m
y = 3.25x + c
Now we need to find c (the y-intercept; the value of y when x=0).
Substitute in any one of the coordinates - let's use (8, 5)
(5) = 3.25(8) + c
(5) = 26 + c
c = -21
The equation of the line: y = 3.25x - 21
I think that this answer is correct - sorry if it seems rushed.
Hope this answer helps :)
Ginny needs
cups of sugar to make 36 cookies.
Step-by-step explanation:
Given,
Sugar cups required for 24 cookies = 
Ratio of sugar cups to cookies = 
Let,
x be the number of cups needed for 36 cookies.
Ratio of sugar cups to cookies = 
Using proportion;
Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

Product of mean = Product of extreme

Dividing both sides by 24

Ginny needs
cups of sugar to make 36 cookies.
Keywords: fraction, proportion
Learn more about fractions at:
#LearnwithBrainly
Answer:
33
Step-by-step explanation:
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