Melody

Hi MG :)

.Squaring                                $$5^2$$      is written as   5^2

.In addition to squaring things like (to the power of 4)      $$7^4$$       is written as   7^4

.Square root                        $$\sqrt{9}$$     is written as   sqrt(9)     

.algerbraic terms like x (would it be just 'x')      Yes x is just x that is why multiply has to be *

There are other ways too.  These are just the most straight forward ways.

Ok MG :)

What is

$$\frac{7}{12}+\frac{5}{9}$$

You need to find a common denominator first.  Something that 12 and 9 both go into.  You could use 12*9 which is 108, that would work but there is a smaller number that would be easier to use. 

Can you work out what it is?  Can you answer the question?

Your answer is not correct MathGod1  :)

Hi Chris,

Great work.  I haven't looked through your logic and i have not finished my own solution either.

I am going to do it here, and if I am really lucky my answer will be the same as yours.  :)

Total

$${\mathtt{70}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,120}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2\,520}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,120}}{\mathtt{\,\small\textbf+\,}}{\mathtt{70}} = {\mathtt{4\,900}}$$

Oh dear - this doesn't look good.     Help!    Have I done something wrong?

I already answered this question before

4! ways 

You cannot learn every thing at once MG :)

Letters just stand for numbers so they behave exactly the same way.

$$\\\mbox{Hopefully you already know how to add fractions}\\\\
\frac{2}{3}+\frac{4}{5}\\\\
=\frac{2*5}{3*5}+\frac{4*3}{5*3}\\\\
=\frac{10}{15}+\frac{12}{15}\\\\
=\frac{10+12}{15}\\\\
=\frac{22}{15}\\\\\\
\mbox{Now add pronumerals (letters) the same way}\\\\
\frac{2}{a}+\frac{4}{b}\\\\
=\frac{2*b}{a*b}+\frac{4*a}{b*a}\\\\
=\frac{2b}{a*b}+\frac{4a}{a*b}\\\\
=\frac{2b+4a}{ab}\\\\$$

Thanks Heureka,  I shall study this tomorrow when i am fresh. 

I though you were just giving us a new way to enter it into the web2 calc :)

I think it is     $$\frac{5!}{2!}=60$$     that should take care of the 2 the same and the rotations. 

If they were set in a line it would be 6!/2 but you always take one off when they are set in a circle.

But since you also have to take care of the turning front-to-back you might need to divide this by two.

So the answer might be 30  

No I didn't.

I will just talk about the last one.

One rectangle side is  2 units and the other is (4+y) units

y just stands for any unknown number if the y were 6 then it would be identical to the 2nd one.

Now the area of a rectangle is length * bredth = 2*(4+y) = 2(4+y)  the times can be invisable. :)

BUT

If you split this into 2 rectangles like on the picture then the areas are  2*4 and 2*y

SO

2(4+y)  MUST BE EQUAL TO  2*4 + 2*y

Think about it.  It takes a little time to absorb these new concepts :)