Answer:
The minimum value of C is 20
Step-by-step explanation:
we have
----> constraint 1
----> constraint 2
----> constraint 3
----> constraint 4
using a graphing tool
The solution is the shaded area
see the attached figure
To find the minimum value of C evaluate the vertices (9,2) and (12,0) of the solution area in the objective function 
so
For x=9, y=2 ---> 
For x=12, y=0 ---> 
therefore
The minimum value of C is 20
22 miles,
30miles - 8 miles = 22 miles
Mikes trip to work is 22 miles farther than sam’s
Let x=the larger number
y=the smaller number
If the difference of two numbers is 19,then
If the larger number is 3 more than twice the smaller,
subsituting
but ×=2y+3 so,
Therefore, the two numbers are 16 and 35.
Answer:
Step-by-step explanation:
600
The ratio is 4:5 meaning out of 9 students 4 are girls and 5 are boys. If there are 36 students, 9 will go into 36 four times so if we multiply each number of the ratio by 4 it gives us the answer.
4:5
4x4 = 16
5x4 = 20
The ratio is 16:20
16 girls to 20 boys... 16 +20 = 36
