Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
Answer: 8 servings can be made
Step-by-step explanation:
Concept:
As we can see from the question there are two different units applied [gallons] and [cups]; therefore, we need to do the unit conversion.
<u>1 gallon = 16 cups</u>
Solve:
Given there are 3 gallons of brown stock, we need to convert gallons into cups.
- 1 gallon = 16 cups
- 3 gallons = 16 × 3 = 48 cups
Then, divide 48 cups by 6 cups to find out how many servings can be made.
- 48 cups / 6 cups = 8 servings
Hope this helps!! :)
Please let me know if you have any questions
Given parameters:
Cost per pound of Arabica coffee = $28 per pound
Cost of Robusta coffee = $8.75
Given number of pounds of Robusta Coffee = 3 pounds
Total cost of blend per pound = $15.50
Unknown:
Number of pounds of Arabica coffee = ?
Solution:
Let the number of pounds of Arabica coffee = A;
We have to interpret this problem algebraically and solve;
28A + 8.75(3) = 15.5(A + 3)
Now solve the expression above for A;
28A + 26.25 = 15.5A + 46.5
28A - 15.5A = 46.5 - 26.25
12.5A = 20.25
A = 1.62
Number of pounds of Arabica Coffee is 1.62 pound
(a) 0.50 per pound, you do 6 divided by 12
(b) 9.17 pounds per field, you do 55 divided by 6
Answer:
The attached image shows the equation graphed on a graph. From there you can plot the points.
