9514 1404 393
Answer:
$35/2
Step-by-step explanation:
Division by 2 is indicated by putting 2 in the denominator of the fraction:
35/2
x^2 + y^2 - 6x - 4y - 12 = 0
x^2 - 6x + y^2 - 4y = 12
x^2 - 6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y - 2)^2 = 25
The answer is 9
Explanation:
We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.
20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers
This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)
If the amount of monkeys is m, lions is a, and lizards is b, then a+b+m=151, 17+a=m (since there are 17 more monkeys than lions), and 30+a=b. Substituting those values in (17+a=m and 30+a=b), we have 30+17+a+a+a=151=47+3a. Subtracting 47 from both sides, we get 104=3a. Next, we can divide both sides by 3 to get 104/3=a (the number of lions), 104/3+17=the number of monkeys, and 104/3+30=the number of lizards. Somehow we end up with a fraction (not a whole number), so there are 2/3rds of monkeys floating around using this logic.
