The answer would be length x width x height thus 4 x 4 x 4= 64 and since is is 4 cubed it would be "c"
Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
You can write it as a proportion and then solve the proportion.
(2.5 hours is 150 minutes)
14 cars x cars
--------------- = -------------------
45 minutes 150 minutes
Then solve.
x=46.6666666
So that is about 47 cars
X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
(6-x)=24
X=-18
If you subtract a negative number with a positive number it adds them together making it positive (6- -18)=24
