Answer:
A.
Step-by-step explanation:
In the attached file
 
        
             
        
        
        
X= be coffee 
Y=be donuts 
Set up equations 
10x+5y=16.50
5x+10y=14.25
Now multiply first equation by -2 to get a negative 
(-2)10x+5y(-2)=16.50(-2)
-20x-10y=-33
Now put both equations to solve for x 
-20x-10y=-33
5x+10y=14.25
___________
-15x. = -18.75
Now divide -15 bith sides to get x alone 
X= -18.75/-15
X= 1.25
The cost of each coffee cup$1.25
 
        
             
        
        
        
Answer:
36
Step-by-step explanation:
angle ACB = 180-130=50 degree
angle ABC = 180 - (94+50)
                   = 180-144
                   = 36
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Given that there are six different toys and they are to be distributed to three different children.
The restraint here is each child gets atleast one toy.
Let us consider the situation as this.
Since each child has to get atleast one toy no of ways to distribute 
any 3 toys to the three children each.  This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways
So 3 toys to each one in 6x5x4 =120 ways
Now remaining 3 toys can be given to any child.
Hence remaining 3 toys can be distributed in 3x3x3 =27 ways
Total no of ways
= 120(27)
= 3240
 
        
             
        
        
        
Answer:
The system  that represent the scenario is
 
 
 
 
The solution in the attached figure
Step-by-step explanation:
Let
x-----> the acres of corn
y----> the acres of cotton
we know that
 ------> inequality A
 ------> inequality A
 -----> inequality B
 -----> inequality B
using a graphing tool
the solution is the shaded area in the attached figure