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You can also draw lines through the house to make sure you both have an equal amount of footage

Naah, just kidding. 

Melody's formula will work. Be careful though that you calculate

[((common area/2)+your area)/ (total square footage)]  x  rent and not

[(common area/(2+your area))/ (total square footage)]  x  rent

It is a common mistake for people to make

Reinout 

thank u CPhill and melody for ur great answers ! CPhill after reading ur answer very carefully i could easily understand it , u ver right melody . CPhill i just wanted to say one thing that in this part 9=(1/8)x , i couldnt understand the method as i have learnt the method of cross multiplication so this method just popped up in my head and so i did it and the answer came correct and i could understand ! thank u melody for taking the initiative to make me understand and give another method ! thumbs up for bothof u ! thanks !

$$$$\sin^4{A}-\cos^4{A}=(\sin^2{A}-\cos^2{A})(\sin^2{A}+\cos^2{A})$$\\
\\
$$\sin^2{A}+\cos^2{A}=1$$\\
$$\sin^2{A}-\cos^2{A}=1-\cos^2{A}-\cos^2{A}=1-2\cos^2{A}$$\\
\\
So, using the last two lines in the first line we have:\\
$$\sin^4{A}-\cos^4{A}=1-2\cos^2{A}$$

Thank you very much Heureka!

Could you please copy the actual code in here so I can copy it into Texmaker and play with it.

Besides being lazy my eyes are not that good and I am having a hard time reading it off the screen.

Also, I have reference your last post in the Latex thread in the Sticky Notes.

Thank you.

Top to botton Probability Tree (by Heureka)

Thanks Chris, I had never heard of that term before!

Hi Rosala,

If people get your puzzles right - and you are absolutely sure that they are correct then could you please give them a thumbs up.

If you are not sure ask for one of the mathematicians to check!

Melody.

Thanks GoldenLeaf.  That is a good answer.  

The inverse of a function is the functions reflection in the line y=x

Look at your graphs.

I think CPhill's idea is floored, he hasn't considered that some of the area is used by both of you.

I think it is because his his triplet siblings are perched on his head!  What a heavy weight to bare!  Poor CPhill. Maybe 6 eyes are better than two when you are seaching for a Roman 0.  

LOOK IN THE BOULDER SIR CPHILL AND SIB'S - 'TIS IN SISYPHUS'S BOULDER!!

(It is an in joke - don't worry - we are all crazy here!)

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

 Let me see.

Here's the way  to do it...

Work out the

1) common area footage

2)your area footage

3)roommate's area footage

To figure your share, it's just...

[(common area/2+your area)/ (total square footage)]  x  rent

And your roommate's share is just

[(common area/2+roommate's area)/ (total square footage)]  x  rent

Do you know how to work out each area?

Alas! I have failed a math once again =(

Math has not been flowing through me recently it seems.

$${root3}{\left({\mathtt{8\,000}}\right)} = {\mathtt{20}}$$

Remember that a cube number is a number that is multiplied by itself 3 times. In this case, the answer is 20 because:

$${\mathtt{20}}{\mathtt{\,\times\,}}{\mathtt{20}}{\mathtt{\,\times\,}}{\mathtt{20}} = {\mathtt{8\,000}}$$

1 + 2 = 3

You are adding one to two, which is one plus one. Thus, one plus one plus one is three.

Just divide the numerator by the denominator.

Please GoldenLeaf, only answer questions if you think you are certain of the method.

Otherwise just wait till someone more knowledgable does it and learn from them!

Okay GoldenLeaf - this is one place that you went wrong.  I have not checked your whole answer.

$$1z - 8/z - 5z - 38/11 * 1z$$

$$z(1z - 8/z - 5z - 38/11 * 1z)$$

The second one does not follow from the first!

$$z(1z-\frac{8}{z}-5z - \frac{38}{11} * 1z)
=z^2-8-5z^2- \frac{38z^2}{11}$$

Use your return key on your keyboard.

(3x/y)^-5=

Look at this old thread it will help you understand. 

http://web2.0calc.com/questions/indices-especially-negative-indices

$$\begin{array}{rll}
&=&\left(\dfrac{3x}{y}\right)^{-5}\\\\
&=&\left(\dfrac{y}{3x}\right)^{+5}\\\\
&=&\dfrac{y^5}{(3x)^5}\\\\
&=&\dfrac{y^5}{3^5x^5}\\\\
&=&\dfrac{y^5}{243x^5}\\\\
\end{array}$$

Hi Melody,

I use Latex \usepackage{qtree}

Sorry, i can't answer your second question.

We don't really need to know how much water is in the bowl or high high the tank is.

the metal cubes will take up $$4\times 15^3=13500cm^3$$

I will assume that 40cm is the height of the tank - the question should have stated this.

The surface area ofthe water is $$50\times 30 = 1500cm^2$$

$${\frac{{\mathtt{13\,500}}}{{\mathtt{1\,500}}}} = {\mathtt{9}}$$

The water will rise 9cm

On the site calc

6 divided by pi is entered as

6/pi 

then press return and you will have your answer - Or at least a very close approximation.

say your question is 6 divided by pi,

On the site calc you can just type in 6/pi and press return.

It does it for you.  It's pretty cool that way!

If you just wanted a good estimate for pi, type in pi the hit return.  

This is how to do it on the site calc

$$(3\div 4)\div(4\div7)$$