Melody

why are you confused DragonSlayer?  Maybe I can help?

Come on Zegroes, you have to play the game when you are invited to do so.

It is all a part of the fun.  Our anonymous friend obviously likes you so why not accept the challenge.

How about,

What are the first two multiples of 3 that are bigger than 3 and not multiples of 6.

(That would be 9 and 15)

Zegroes, why don't you try to find another answer.      (See I have even given you a smilie)

200/1000*100% = 20%

350/2000*100%= 17.5%

It would be unusual to pay a lower percentage of tax on a higher income.

Perhaps this is not what your table means.

As fot the rest they are not really mathematics questions.

When you talk about major sources of revenue, especially state revenue, the answer si going to be quete different in every country and this is an international forum.

In most countries I would think the major source of federal government revenue would be income and business taxes, and maybe goods and services taxes.

In Australia a major source of state revenue would be land tax and stamp duty on house purchases.

Police fines, and probably some business taxes.

I probably haven't been much help.  Sorry.

I am not sure about the method you are referring to - I don't have the time to power through it right now.  But you do always need to be conscious of the 2 possible answers.  You need have a good reason for accepting one and rejecting the other.

Perhaps you would like to give as a specific question and then we could discuss it?

Actually this is a very common error - it is easy to forget to check this.

Thanks Zegroes, that will work well,

Or you could just do it all at once, any scientific calulator (which is almost all  of them) will do it in the correct order.

3^4*3^6/3^3

$${\frac{{{\mathtt{3}}}^{{\mathtt{4}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{6}}}}{{{\mathtt{3}}}^{{\mathtt{3}}}}} = {\mathtt{2\,187}}$$

Come on Zegroes, you can explain it better than that.

Maybe you can't?  I will show you how!

Oh, also be careful with the 'factorial' symbol.  9!=1*2*3*4*5*6*7*8*9 = 362,880

3(X-8)=9 

divide both sides by 3

x-8=3

add 8 to both sides

x=11

Thanks Alan.

I think what heureka is trying to show is that the distance forumula, which looks really horrible, is really just Pythagoras' Theorum!

If you draw it the right angled triangle here so that the interval is the hypotenuse then 

the two short sides are 5units and 5 units.

The hypotenuse which is the desired length is   $$\sqrt{5^2+5^2}$$     etc.

As you say Miss Rosala,