Answer:

Step-by-step explanation: 
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation  represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
 represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
 
        
             
        
        
        
Answer:
The value of the quantity after 87 months will be of 599.64.
Step-by-step explanation:
A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.
This means that the quantity, after t periods of 6 years, is given by:

What is the value of the quantity after 87 months, to the nearest hundredth?
6 years = 6*12 = 72 months
So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).


The value of the quantity after 87 months will be of 599.64.
 
        
             
        
        
        
X=3 and x=-9 solve by factoring
        
             
        
        
        
They must sell, 30 cups of lemonade. How I got my answer.
Since it cost $1.20 to start, and a cup of lemonade cost $0.6 to make and there selling them at $0.10 each. So we know they are making a $0.4 profit off of each cup of lemonade. We now have to multiply 4×30=120. 
I hope this helps!