Melody

Thank you  ...   maybe

But

Camelot is not a city, Camelot is a magical realm.  

You should get that right!  You should know what you are protecting !!

She has 4 fifths left.

And

 $${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,\times\,}}{\mathtt{75}} = {\mathtt{60}}$$     Kg       

Thanks Chris, it is really nice to see you :)

$${\frac{{\mathtt{200\,000}}}{{\mathtt{157\,000\,000}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{20}}}{{\mathtt{157}}}} = {\mathtt{0.127\: \!388\: \!535\: \!031\: \!847\: \!1}}$$

that is approximately

0.1274%

Thank you Heureka :))

I have included this thread under [advanced number theory]

in our

"Reference Material" sticky thread     

Thanks Radix :))

There you go, a multiple choice answer for a multiple choice question.  :)

Of course, thanks Alan, that is what I was asking :)

6/2(1+2)=3*3=9

You do not have enough closing brackets        Is this your question ?

$$\\(3+\sqrt{2})(2+\sqrt{2})^2$$

The third term of a geometric sequence is 144 and the sixth term is 486. What is the first term of the sequence?

$$\\ar^2=144\qquad ar^5=486\\\\
\frac{ar^5}{ar^2}=486/144\\\\
r^3=3.375\\\\
r=1.5\\\\\\
a*1.5^2=144\\
a*2.25=144\\
a=64\\\\\\
check\\
64*1.5^5=486 \;\;:)$$