Answer:
Step-by-step explanation:
The given equation is
The Least Common Denominator is 
.
We multiply through by the LCD to get;
Simplify
Expand;(Use difference of two squares on the right hand side)
Group similar terms;
Simplify;
Divide through by 4.
Answer:
The team can bring 12 players to the tournament.
Step-by-step explanation:
With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:
c=830.50+30.75x, where:
c is the cost of going to a tournament
x is the number of players
Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:
1199.50=830.50+30.75x
1199.50-830.50=30.75x
369=30.75x
x=369/30.75
x=12
According to this, the answer is that the team can bring 12 players to the tournament.
-2a-9=6a+15
Move 6a to the other side. Sign changs from +6a to -6a.
-2a-6a-9=6a-6a+15
-2a-6a-9=15
-8a-9=15
Move -9 to the other side. Sign changes from -9 to +9.
-8a-9+9=15+9
-8a=15+9
-8a=24
Divide both sides by -8
-8a/-8=24/-8
a=-3
Answer: a=-3
MISSING DETAILS
Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?
Answer:
Minutes = 8 minutes
Step-by-step explanation:
Topic: Inequality
Given:
Available Size of water = 17 liters
Increment = 5 liters/minute
Size of water needed = At least 57 liters
Putting the above together, as have
17 + 5m > 57
where m represents total minutes and > represent at least
Solving the Inequality
5m > 57 - 17
5m > 40 ------ Divide through by 5
5m/5 > 40/5
m > 8
So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.
