The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
Steps to solve:
-4z + 4 + 12z = 3z + 4 + 5z
~Combine like terms
8z + 4 = 8z + 4
~Subtract 4 to both sides
8z = 8z
~Divide 8 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
This is an identity since every value can be a solution to the equation.
Best of Luck!
I don't really know how the table works, but there are two cups in a pint, so 5 pints * 0.5 pints would be 2.5 pints, and 2.5 pints divided by 2 pints would be 1.25 pints?
First answer haha~ I think I answered all your questions so far ;)
