ElectricPavlov

Al atomic mass  26.98 gm/mole

60.0 / 26.98 = 2.22 moles of Aluminum (3 sig digits)

each 2 moles of Aluminum produce ONE mole of Aluminum oxide

2.22 moles Al / 2 moles Al/ Al2O3   = 1.11 moles Aluminum oxide

1.11 moles Aluminum Oxide   *   101.96 g/mole = 113 gm aluminum oxide (3 sig digits)

41     47    53     59              ' 1 ' is in the ones digit of a

Since this question states that only the PRESENCE of sulfuric acid is required , it is acting only as a catalyst. If the ethanol breaks down intoo H20 and one other product, due to the conservation of mass, it must be a compound of the two remaining carbon atoms and the four remaining hydrogen atoms: C2H4.   This compound is ethylene.

Let x = degree of arc

x/360  *  pi * d  = arc length

                            Now increase x  by 1.2   and  d by 1.25     (20% and 25% respectivley)

x/360 (1.2) * pi * d 1.25 = 1.5 arc length        The arc length increases 50%      

Ahhha...OK....   Thanx !  Got it ..... 

Hmmmmm.....    I still don't get this.....

example      base 4     number      3 3 3 3     is   12 bracelets    ....  there is only 4 total ...plus the possibilty of 0.

    so I think you would have to eliminate any base 4 number that totals more than 4   ....  Yes?    No?

Does it say that each must be given at least one bracelet?  Not sure....

Here is my 'stab' at a solution....(I almost never get these correct BTW )

For EACH person:

4  bracelets    1 way

3  Bracelets    4 ways

2 bracelets     6 ways

1 bracelet       4 ways

0 bracelet       1 way      Total 16 ways      x    4 people = 64 possible ways    (??)  Some of these may be 'reflections' of the others....so ....    I really do not KNOW !   

Wondering if    f(x) = x          then f(27) = 27

f(f(27) ) = 27

f(f(f(27))) = 27     then k = 27 (which is odd)......    Hmmmmm

Thanx, Alan.....    I looked at that one for some time, but could not find an answer !   You made it look too easy.....

Not positive what you are asking....but

19-20- (21*16 * 9/4) = -757