So we started with 25, then after we lost a solid 4 as a given variable. So now we have 21 beans. Later we find that 6 pounds are left and are in not part of the beans sold that can be effectively used to find the weight of each equal bean bag. So we subtract 6 from 21. We get 15 pounds that were sold in 20 bags. The equation to find the weight of each bag from there is :
15 lb/10 bags
From there it equals 0.75 lb per bag.
Answer:
30 cans
Step-by-step explanation:
We can use ratios
15 cans x cans
---------------- = ------------------
7*2 people days 4*7 people days
Using cross products
15 * 28 = 14 * x
Divide by 14
15 * 28/14 = x
30 =x
Let the length of the north and south sides be x, then the length of the east and west side is 32/x.
The total fencing needed is the perimeter of the rectangle = 2x + 2(32/x) = 2x + 64/x
Cost of fencing the north and south sides is 2(2x) = 4x
Cost of fencing the east and west sides is 4(64/x) = 256/x
Total cost (C(x)) of fencing the vegetable patch is 4x + 256/x
For minimum cost dC/dx = 0
4 - 256/x^2 = 0
4x^2 - 256 = 0
x^2 = 64
x = 8
Therefore, the <span>dimensions of the vegetable patch with the least expensive fence is
</span><span>north and south sides = 8 ft
</span><span>east and west sides = 32/8 = 4 ft</span>
Answer:
41
Step-by-step explanation:
