Melody

Hi InjustaGod :)

You are behind the times.  Sunday is almost finished LOL  :)

If a and b are positive numbers and 100/a =95/b,

prove that:

(i)  a > b

\(\frac{100}{a}=\frac{95}{b}\\ 100b=95a\\ 95a=100b\\ a=\frac{100b}{95}\\ a=\frac{95b}{95}+\frac{5b}{95}\\ a=b+more\\ a>b \)

i)  prove \(\frac{105}{a}<\frac{100}{b}\)

\(\frac{100}{a}=\frac{95}{b}\\ \frac{100}{a}\times 1.05=\frac{95}{b}\times 1.05\\ \frac{105}{a}=\frac{99.75}{b}\\ \frac{105}{a}=\frac{100}{b}-\frac{0.25}{b}\\ \frac{105}{a}=\frac{100}{b}-\;\;a\; bit\\ so\\ \frac{105}{a}<\frac{100}{b} \)

I have no idea what you are talking about :)

131/1000 = 0.131

The web2 calc tells me that they have no common factors so it is already in its simplest form :)

Just plot it!

One vertex is the origin (0,0)

One vertice  is on the x axis and the last one is on the y axis so ofcourse it is a right triangle. !

Your question makes no sense because you need a number after the ^

Your question does not make sense. 

Hi Dragonlance,

What you say is true BUT

The category for this show is entertainment NOT scientific education.

They can be as 'sloppy' as they want so long as they can get high ratings LOL

Life is too short to be taken so seriously.  :))

Good try Dragonlance,

Put the four non-problem children in a row first.  There are 4! ways to do this.  4!=24

Now put the other childen in the row.  One child can go between each of the original 4 and/or one child can go at the beginning and/or the end of the line.

So there are 5 positions that the 3 can occupy.   There are 5P3=60  ways that this can  be done.

So altogether there are  24*60 = 1440 waysthe children can be put in the line.  

Sun 10/1/16

1)  Greetings in Camelot, Thanks Coldplay and guest :)

     http://web2.0calc.com/questions/trig-angular-question

2)  Permutation question    Thanks Dragonlance and Melody. 

     http://web2.0calc.com/questions/so-hard-plz-help-me

3)  Inequality proof     Thanks Melody and Gibsonj338

     http://web2.0calc.com/questions/linear-inequalities_2

4)  How long till Earth recieves its package.  Thank CPhill, Dargonlance and Heureka

     http://web2.0calc.com/questions/i-need-help-quick

5)  Circle geometry proof  Thanks CPhill

     http://web2.0calc.com/questions/solve-this_98818

6)  Basic inequality proof  Thanks Melody and CPhill

     http://web2.0calc.com/questions/linear-inequalities_2

7)  Trig Problem.   Thanks CPhill and guests

     http://web2.0calc.com/questions/need-help-setting-up-question

8)  Understanding numbers and powers.  Thanks Heureka, Melody and Aditya 

     http://web2.0calc.com/questions/answer_25452

9)  Difficult integration,   Thanks Alan

     http://web2.0calc.com/questions/find-lim-x-gt-0-from-below-of-integrate-e-x-x-dx-from-x-x-to-x-2x_1