Answer:
2/5
Step-by-step explanation:
Picking 4 cards out of 10, and as a fraction, it would be 2/5
For this case we find the expression that represents the cost of each printing press.
x: Be the variable that represents the number of programs to print
So:
Cost 1: Janet’s Print Shop
Cost 2: The Printing Press
If we want to find the number of programs for which the costs are the same, then we equate both equations:
Thus, for 150 programs the cost is the same.
Answer:
For 150 programs the cost is the same.
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
i feel as if in the United States, both the metric system and the English system of measurement are used, although the English system predominates. This discussion question has three parts:
Look around you to find something in the U.S. that is measured in metrics. Describe it to the class.
Give an example of how you think the metric system will be used in your future career.
Do you think the U.S. should switch to metric system exclusively? Why or why not?
This week we learned about the metric and U.S. customary measurement systems. Please upload and submit your responses to the following questions in at least 150 words:
In reflecting on both measurement systems, what did you find most important?
Explain how both measurement systems could relate to your life, community, or current/future career.
Expert Answer
Step-by-step explanation:
Answer:
A - 90 units
B = 0 units
Step-by-step explanation:
Here we have two models A and B with the following particulars
Model A B (in minutes)
Assembly 20 15
Packing 10 12
Objective function to maxmize is the total profit
where A and B denote the number of units produced by corresponding models.
Constraints are
These equations would have solutions as positive only
Intersection of these would be at the point
i) (A,B) = (60,40)
Or if one model is made 0 then the points would be
ii) (A,B) = (90,0) oriii) (0, 90)
Let us calculate Z for these three points
A B Profit
60 40 1040
90 0 1080
0 90 720
So we find that optimum solution is
A -90 units and B = 0 units.
