Answer:
She needs 26 plastic bags.
Step-by-step explanation:
Given:
Amount of cups of snacks mix = 8 2/3
Rewriting 8 2/3 we get,
Amount of snacks mix = 
Number of Cups in each bag = 
She puts all the snacks mix in plastic bags
We need to find the number of plastic bags required to put all the snacks mix
Let number of plastic bag be x.
hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to Amount of snacks mix.
Hence total number of plastic bags she needs is 26.
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54
Answer: 18.09yd
Step-by-step explanation:
A=πr^2
A= 3.14*2.4^2
A= 18.09yd
Answer: D) 1/32
Step-by-step explanation:
