Jane has 5 pants and 7 shirts.
In order to find how many different combinations of pants and shirts we must multiply.
7 x 5 = 35
The answer is 35 combinations.
This method works when finding out the combinations of anything. Just multiply all the items together.
The answer is 0.003, because the two "00" in front of the three represent, tenths and hundredths, and the 3 is in the thousandths place<span />
Ellipses, parabolas, and infinity. A parabola can be defined as the locus of points equidistant from a fixed point (called the focus) and a fixed line (called the directrix). But we know from projective geometry that parabolas and ellipses are essentially the same object.
sin(2<em>x</em>) - sin(<em>x</em>) = 0
Expand the first term using the double angle identity:
2 sin(<em>x</em>) cos(<em>x</em>) - sin(<em>x</em>) = 0
Factor out sin(<em>x</em>) :
sin(<em>x</em>) (2 cos(<em>x</em>) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(<em>x</em>) = 0 or 2 cos(<em>x</em>) - 1 = 0
sin(<em>x</em>) = 0 or cos(<em>x</em>) = 1/2
[<em>x</em> = 2<em>nπ</em> or <em>x</em> = <em>π</em> + 2<em>nπ</em>] or [<em>x</em> = <em>π</em>/6 + 2<em>nπ</em> or <em>x</em> = 5<em>π</em>/6 + 2<em>nπ</em>]
(where <em>n</em> is any integer)
Movie Theater question:
the numerical value of 10% is 0.1, just as 50% is 0.5. if you multiple 20 by 0.1 you get 2, and subtract 2 from 20 you get 18.
The answer is 20 ounces.
Savings Account question:
if you multiply 0.1 by 220 you will get 10% of 220, then just add that answer to 220. so 0.1 x 220 is 22, 22+220 is 242.
The answer is $242.00
I hope this helps :)
