full length selfies

math: solutions

this is one kind of problem that always warps my brain. i'm trying to wrap my head around this:

how many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
                       
                                liters of solution        % alcohol
70% solution                       x
----------------------------------------------------------------------  step one, solving for liters of solution

                                                                                             total liters of alcohol
70% solution                       x                        .7                        .7x
40% solution                      50                       .4                      (.4)(50) = 20

50% solution mixture         50+x  (adding)   .5                       (.5)(50 + x)

.7x+20 = .5(50+x)
Solve for x        
x= 25 liters

-----------------------------------------

how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?

x = ounces of pure water

ounces of solution                                    saline percentage                total
x                                                                         0x                                   0
50                                                                      .15                            .15(50)
x+50                                                                  .10                             .10(x + 50)

0 + .15(50) =.10x + 5                    7.5 = .10x + 5               x = 250
                                                                     

the odyssey, richard lattimore

i am beginning my "odyssey" review. and i think i should probably do this before i continue reading "ulysses," or i might do them simultaneously.

ch 1:

hecatomb: in ancient greek ceremony, the sacrifice of a hundred cattle to the gods

poseidon, who is the only god angry with odysseus at the very beginning of the myth, is at a ceremony receiving a hecatomb from the aithiopians while all the other gods are at zeus' hall.

a map at this link shows the ancient greek concept of aithiopia, the southernmost 'inhabitable' region of the world: https://en.wikipedia.org/wiki/Aethiopia

new weight/beginner ballet

i'm at 107.6, now lighter than i was at 28 when producers told me to lose 10 pounds and i didn't think it was possible.

when grunge met fashion

glamour ii

glamour

there is something about the combination of eloquence and material sophistication that is truly glamorous, which is also what i like about this interview