Answer:
Step-by-step explanation:
 
        
                    
             
        
        
        
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
 the price of each plate is $7.5
        
             
        
        
        
Answer:
yea
Step-by-step explanation:
 
        
             
        
        
        
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

 
        
             
        
        
        
Answer:
There are 24 different trip possibilities.
Step-by-step explanation:
Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.
The first event is the selection of the location.
Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)
The second event is the selection of how you go there. 
The options are flying or driving (2 options)
The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).
The total number of different trip possibilities is equal to the product between the number of options for each event.
P = 4*2*3 = 24
There are 24 different trip possibilities.