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) / (a · t)
 = (5 · 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 · t)
 = (8 · 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.

4 0

2 years ago

Match the correct translation with the given transformation.

VLD [36.1K]

Answer:

1. a-b

2. a-d

3. c-e

4. g-f

5. a-h

6. e-j

5 0

3 years ago