For some reason LaTex is not displaying properly.
If you cannot make sense of my answer let me know and I will try to write it without LaTex. :/
Hi MapleTheopry,
This is an unusual question. :)
\(Plog_{400}5+Qlog_{400}2=3\\ log_{400}(5^P)+log_{400}(2^Q)=3\\ log_{400}(5^P*2^Q)=3\\~\\ 400^3=5^P*2^Q\\ (2^4*5^2)^3=5^P*2^Q\\ 2^{12}*5^6=2^Q*5^P\\ so\\ P+Q=6+12=18 \)
If \(10^k = 64\), what is the value of \(10^ {{k \over 2} + 1}\)? Answer without using log.
\(10^{\frac{k}{2}+1}\\ =10^1*10^{\frac{k}{2}}\\ =10*(10^k)^{\frac{1}{2}}\\ =10*(64)^{\frac{1}{2}}\\ =10*8\\ =80\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\\ x = {-b \over2a} \pm {\sqrt{b^2-4ac} \over 2a}\\~\\ m=\frac{-b}{2a}=\frac{--6}{2*2}=\frac{3}{2}\\ ni={\sqrt{b^2-4ac} \over 2a}={\sqrt{(-6)^2-4*2*5} \over 2*2}={\sqrt{36-40} \over 4}={2i \over 4}={1\over 2}i\\\ mn=\frac{3}{2}\times {1\over 2}=\frac{3}{4}\)
Our guest has assumed that the smaller room takes half as much paint as the large one.
This probably IS what the question intended
BUT it actually implies that the larger room has twice as much volume, not twice as much surface area on the walls. I do not think you have enough information to answer the question based on volume though.
Santa's elves work very hard, they make toys even for naughty children!
Thanks Jacob,
I had not realised that Ginger had posted a link until you told me.
It like this interpretation !! Thanks Ginger.
Lots more Latex coding ideas by SpaceModo (Dec2017)
Thanks SpaceModo,
https://web2.0calc.com/questions/latex-formatting-fixed
That's cause you are not an Aussie. LOL
Everyone here knows them :))
Thanks everyone for your Great Christmas cheer :)
The hundreds column can be 6,7,8,or 9. That is 4 possibilies
the tens column can be 5,6,or 7 that is 3 possibilities.
The unit column has to be 2, only one possibility
so there are 4*3*1 = 12 possible numbers