Answer:
3x
Step-by-step explanation:
3x+5x(5-5)
3x+5x(0)
3x+0
It looks like the next six terms are 22, 26, 30, 34, 38, 42
It is increasing by 4
12.00x0.06, which is 0.72, so the sales tax is 72 cents. Basically, what you do to answer these kinds of questions is divide the percentage by 100 (6/100=0.06), because the percentage is out of 100%. Then you multiply that number by the price to get the sales tax. If you wanted to find the total price, add the tax you found to the original price ( in this case would give us $12.72 )
Hope this helps!
The work is easy. Most of the effort is in the reasoning.
Here's how I reasoned:
-- If the diameter of the sphere is bigger than the diameter of
the cylinder, then you'd have to mash the sphere somehow
in order to get it in there, and it wouldn't be a sphere anymore.
-- If the diameter of the sphere is bigger than the height of the
cylinder, then it would stick out of the ends, and it would not
"fit inside it".
-- So the diameter of the sphere can't be bigger than either
the diameter or the height of the cylinder.
-- The cylinder's diameter is 15" and its height is 12".
So the largest sphere that can completely fit inside it
is a sphere whose diameter is 12".
The volume of a sphere is (4/3) (pi) (radius³)
and the radius is (1/2 of the diameter) = 6 inches.
So the volume is (4/3) (pi) (6 inches)³ .
You can take it from here.
Use 3.14 for (pi) .
I got about 904 inches³.
But the answer is not important.