3 drops : 4 pints = x drops : 16 pints
3drops/4pints = x/16pints
(3drops/4pints)*16pints = x
*cancel pints unit*
(3drops/4)*16 = x
(16*3)drops/4 = x
48 drops / 4 = x
12 drops = x (ANSWER)
Answer:
11/12
Step-by-step explanation:
2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4
Then your problem becomes ...
(11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12
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The numerator and denominator have no common factors, so this is lowest terms.
A is for Alexis and F is for Francisco
A = 1/6 + 1/2 + 1/2 = 1 and 1/6
F = 2/3 + 1/2 + 1/3 = 1 and 1/2
1 1/6 < 1 1/2
A < F
Francisco ate the most pie.
1/6 of cherry pie is left.
No apple pie is left.
1/6 blueberry pie is left.
Inverse variation is of the form y=k/x or if you prefer yx=k.
z=6.3 bar I assume you mean 6.33333333 forever
10z-z=63.3333...-6.3333
9z=57
z=57/9 (exact)
Now back to the problem...
xz=k, we are told x=3 and we have shown z=57/9 so we can solve for k, the constant of variation
k=3(57/9)=19
So our equation is:
xz=19, now we wish to know what z is when x=8 so
8z=19 divide both sides by 8
z=19/8
z=2.375 (exact, no rounding necessary)
