Answer:
Danny: y-=.75x+20
Avery: y=1.25x+18
Step-by-step explanation:
To write a system of equations, it usually equals y=mx+b. Since Danny and Avery both earn the set monthly allowance of 20 and 18 dollars respectively, those numbers go on the variable b since it's a set amount and they start off with that amount of money if they weren't nice to their mom at all. 
Since we are trying to find the overall amount of money, let y=total money a child earns every month and x=how many times the child is nice to their mother. 
The extra .75 cents Danny earns go under the variable m because it is dependent on how many times he is nice to his mom. Along with Avery. 
 
        
             
        
        
        
1 pint = 2 cups or 1 cup = 1/2 pint
x pints = 12 cups
(12 cups) / 2 = 6 pints
12 cups is equivalent to 6 pints
        
                    
             
        
        
        
6 / 9   = 2/3     ( since dividing top and bottom be 3  gives 2/3)
Also 4/6 = 2/3
 
        
             
        
        
        
Answer:
y = -1/4x + 3
Step-by-step explanation:
Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:
y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.
So the equation of this line is y = -1/4x + 3.
 
        
             
        
        
        
Answer:
You have a triangle and a Square!
Step-by-step explanation:
Blue = Square 
Red = triangle