Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

For (0,0) -----> 
For (5,19) -----> 
For (5,0) -----> 
therefore
The maximum value of C is 68
Answer:
b. 0.5
Step-by-step explanation:
knowing that a prime number is an integer with exactly two divisors and a composite number is an integer with more than two divisors, we have that if q is a composite number greater than 2 these can be 4, 6, 8, .. But how the smallest of them should be is 4, and p is a prime number can be 2,3,5,7,....
but is the smallest prime number less than 10 then p=2, also p/q=2/4 = 0.5
Answer:
The percent decrease was 20%
Step-by-step explanation:
In order to find this, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 48 for the New price and 60 for the Old price.
(48 - 60)/(60) * 100 = % Change
12/60 * 100 = % Change
.2 * 100 = % Change
20 = % Change
We are trying to find the average speed of the plane, which is mph, or
. Using proportions, we can find the average speed of the plane in mph:

- Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that
.

- Multiply the entire equation by


- Divide both sides of the equation by
to clear both sides of the mile unit
The average speed of the plane is 300 mph.
there are no real square roots of 25,36