Without trying to list all of them, I just now thought of a way to figure out the number of different possibilities:
The total can be made from:
-- zero, 1, 2, or 3 quarters . . . 4 choices
-- zero, 1, or 2 dimes . . . . . . . 3 choices
-- zero or 1 nickel . . . . . . . . . . 2 choices
and
-- zero, 1, or 2 pennies . . . . . . 3 choices
So there are (4 x 3 x 2 x 3) = 72 different possible combinations of coins
Almost all of the possible combinations appear to be unique. I do
see one possible duplication: 1qtr is the same thing as (2dim + 1nkl).
That reduces the number somewhat, but I don't really know how to handle it.
So the number of different amounts of change is a few less than 72 .
I hope this answer is worth 5 points.
Since the roots are 2,3i, and -3i, you can write it as
(x-2)(x-3i)(x+3i)=(x-2)(x^2+9)=x^3-2x^2+9x-18.
The equation for the area of a circle (as most drums are) is
A= π · r²
so knowing the radius to be 14, plug that in for r and A=196π, or about 615.4 inches squared
Answer:
x=10.5
Step-by-step explanation:
40x-120=24x-48
40x-168=24x
16x-168=0
16x=168
x=10.5
Have a great day!
Yes they are always whole numbers!
A. Always