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To be precisely correct we need to include -2√5 as a solution, too.

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$$\\ \frac{6^{2007}-6^{2006}}{30} = \frac{6^{2006}\times 6-6^{2006}}{30} = \frac{6^{2006}(6-1)}{30} = \frac{6^{2006}\times 5}{30}=\frac{6^{2006}}{6}=6^{2005}$$

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9+10=21

Possibly as follows:

7x8 = 56

6x7 = 42

5x6 = 30

4x5 = 20

3x4 = 12

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You need to divide both sides by 10, not multiply:

b = 18/10 

b =1.8

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I think this should be interpreted as:

n + d = 83                         (1)

5n + 10d = 690                 (2)

From (1) we have: n = 83 - d           (3)

Put (3) into (2)

5(83 - d) + 10d = 690

415 -5d + 10d = 690

5d = 275

d = 55

Put this into (3)

n = 83 - 55

n = 28

So there are 28 nickels and 55 dimes

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$${\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{10}} = {\mathtt{19}}$$  

18 = 10b | *18

18*10 = b | Calculate

180 = b

@@ End of Day Wrap    Fri 27/3/15   Sydney, Australia    Time 3:05 am (Really Sat morn)  ♪ ♫

Hello all,

Great answers today from Alan, BrittanyJ, MathGod1, Samgelinas, CPhill, Will85237, Falkirks, TayJay, Heureka, Shaniab29544, Nauseated and Happy7.  Thank you everyone. 

Interest Posts:

* FTJ stands for "For the juniors" I want there to be something for everyone.

If you find a thread interesting please send the address (just use cut and paste) to me via private messaging and I will most likely include it in the next wrap.  I seriously want people to do this.  Please get involved.

$${\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{1}} = {\mathtt{3}}$$

$$\left(-{\mathtt{3}}\right){\mathtt{\,\times\,}}\left(-{\mathtt{1}}\right) = {\mathtt{3}}$$

$$\left(-{\mathtt{3}}\right){\mathtt{\,\times\,}}{\mathtt{1}} = -{\mathtt{3}}$$

$${\mathtt{3}}{\mathtt{\,\times\,}}\left(-{\mathtt{1}}\right) = -{\mathtt{3}}$$

So, ±3 x ±1 = 3, -3

Sat 28/3/15

    FTJ means "for the juniors"

$${\mathtt{699\,954}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{73.9}}}{{\mathtt{100}}}}\right) = {\mathtt{517\,266.006}}$$

hi Happy :)

That is an estimation anon :)

$$\sqrt{45}=3\sqrt{5}$$

Thanks Bertie :)

Thanks MG. I didn't know that.  BIDMAS makes a lot more sense than BODMAS.

Just proves that you Brits do do some things better. :)

It does not say  "how do you take" which is what you have done.

It says "how do you get" 

So I don't think that you have quite answered the question.

I'm great thanks, it is good to see you one the forum. :)

Hi MG,

Heureka has written his answer in LaTex.

If you hover your mouse over his grid you see a box come up underneath with strange looking stuff in it.  Well that is LaTex.  It is a code that some of us use when we present our mathematics.  It makes it look better.

If you start a new post, you can open up the [LaTex Formula] box, which is in the ribbon at the top.

Then type in

\frac{2}{3}

then press ok

this is what you will see

$$\frac{2}{3}$$

now you have learned how to write a fraction in LaTex.  

45 ^ 1/2  is the same as the square root of 45 = 6.7082039325

8 +((4/ 2) x 5) -7 = 11