Answer:
Ben' share = 2(600/5) = $240
Step-by-step explanation:
Let the sum of money be x
Given that the ratio between Ali and Ben is 3:2
As adding both parts of ratio gives 5 parts so,
For finding one part = x/5
So according to given condition:
Ali's share(one part) + Ben's share(one part) = 120
3(x/5) - 2(x/5) = 120
By simplifying:
x/5 = 120
Multiplying both sides by 5
x = 600
So the total amount is 600
Ali's share would be = 3(600/5) = $360
Ben' share = 2(600/5) = $240
i hope it will help You!
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.
0.32 is the answer you are looking for.
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3