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.
<span>You
are paid $78 for 61/2 hours of work.
Question: What is your rate of pay?
=> 78 dollars = is the money paid to you
=> 6 and ½ is the time you rendered for work
=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes
Solution:
=> 78 dollars / 6.5 hours = 12 dollars.
Thus, your rate is 12 dollars per hour (12 dollars/h)</span>
Answer:
13.35
Step-by-step explanation:
you multiply 89 times 15
then divide that with 100
Here is the answer:
Bananas = 9 and Apples = 22
Explanation below -
Answer:
8√3
Step-by-step explanation:
Let a, b = the positive numbers, and the sum = s,
(1)---- ab = 192
(2)--- a + b = s
Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,
From (1), b = 192/a
Substitute b = 192/a into (2),
s = a + 192/a
Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:
1) find dy/dx
2) Find x from dy/dx = 0
ds/da = 1 - 192/a²
When ds/da = 0,
1 - 192/a² = 0
a² = 192
a = ±√192
a = 8√3 , -8√3
Since a is positive, a = 8√3
Substitute a into (1),
b = 192/(8√3)
b = 8√3
Therefore, the two positive numbers are 8√3... and 8√3
