All Answers 358129 Answers

ugh forget it melody you can have THESE POINTS!!!!

Hey Anonymous,

$$\frac{-7}{3}-\frac{5}{-6} = -\frac{7}{3}--\frac{5}{6} = -\frac{7}{3}+\frac{5}{6} = -\frac{14}{6}+\frac{5}{6} = -\frac{9}{6} = -\frac{3}{2}$$

First I put the minus signs in front of the fractions,

Minus minus is the same as plus so I changed that

I made both denominators of the fractions the same by multiplying both the nominator and denominator of $$\frac{7}{3}$$ by 2

Then I added both fractions

And finally I simplified the fraction

Reinout 

p.s. please use / instead of % on the forum. % can be very confusing because it is usually used as 'percentage'

Thanks - redirected - that's much better.  

Teleported sounds more fun though!

Hey Melody,

No I didn't and I'm not having any trouble at the site either.

I do however block pop-up's so that might be the reason why.

To the one who posted the question,

could you please be more specific, so we can be more helpful?

Reinout 

p.s. right term is redirected

hi reinout,

I am really not sure. 

there are no units so perhaps it should be in radians.

I thought there mighe be some trick but I haven't seen it yet.

Did you send me a message or a pop-up?

got a pop-up but not a message. When I clicked on it I teleported here (I can't think of the right term)

There are spectres everywhere here.

Yet, this is what he was looking for right? 

p.s. I edited the post

Hey Melody,

It was a rebus for very smart [ferry smart]

p.s. sorry zegroes, I'm not a fan either... 

Hi Reinout, 

I think numerical value just means the number value. (not the absolute value)

That is what I would assume anyway.

I'm not sure whether this is what you're looking for but...

$${\mathtt{9}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{9}}^\circ\right)}{\mathtt{\,\small\textbf+\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{9}}^\circ\right)}{\mathtt{\,-\,}}{\mathtt{6}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{6}}^\circ\right)}{\mathtt{\,-\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{6}}^\circ\right)} = {\mathtt{0.773\: \!905\: \!850\: \!979}}$$

If your question was in radians instead of degrees your answer is 3.514258807837

Reinout 

Sat 23/5/14

Speed question - I think that they are always good value.

What good manners Rosala  

Hi Takahiro,

That formula is good for a square pyramid or a rectangular pyramid but what is it is a trianular pyramid or a circular pyramid (cone) or some other pyramid?

A general formula might be

$$volume=\frac{1}{3}\times \mbox{Area of base}\times \mbox{perpendicular height}$$

Do you mean 1-(-1)? 

Because Math. When I Typed It Into My Calculator I Got Zero. You Might Want To Check Your Work

Hi, Why don't you show the rest of us how to do the quadratic formula.

Can you do it using the Math(input=result) button?

$$$$\frac{-9+12i}{1+2i}=\frac{(-9+12i)(1-2i)}{(1+2i)(1-2i)}$$\\
$$ = \frac{-9-18i+12i+24}{1-2i+2i+4}$$\\
$$ = \frac{15-6i}{5}$$

$$$$ = 3-1.2i$$$$

Let the total money be x

Son gets x/3, daughter gets x/4, so amount left for wife is x - x/3 - x/4 = 12x/12 - 4x/12 - 3x/12 = 5x/12

 This must equal 20000.  5x/12 = 20000

Multiply both sides by 12/5 to get

x = 20000*12/5  = 4000*12 = 48000

@@ End of Day Wrap - Friday 23/5/14   Sydney, Australia   Time 21:55

Hi Everyone.

I have not checked all answer to this point like I usually do.  I often knock myself trying to finalise everything before i write the wrap and then a number of people come in not long after and there is very little left for them.  So I think I have more or less finalised questions up to and including page 456. Some more recent ones have been done as well of course.

Great answers today from Takahiro Maeda, Alan, zegroes, reinout-g, CPhill, Kalecia, Heureka, rosala, Maddie hardage, all-them-marvel-feels and Rom.

Today we were hit by a hacker.  Constant pop-ups appeared.  It was definitely a nuisance but possible not much more than that.  I have notified the site developer, Andre Massow.  He is quite ill at present but he will be onto it as soon as he is able.  I hope you are feeling better soon Andre.

Reinout-g posted a new puzzle.  I have always considered the puzzles a really important part of the forum.  I have no time to allocate to them.  I am so glad that reinout has take such an active interest. Thank you so much reinout, I really appreciate your efforts.

Friday 23/5/14

New Puzzle from reinout-g : Thanks reinout

Thanks Alan.      

Valid for -1<z<1

thanks for this explanation both of u 

Sorry but no:   You haven't understood me.

THE DETAIL OF YOUR ANSWER IS FABULOUS!

But when you add mixed numerals you do not change them to improper fractions.

##  THAT IS TOTALLY UNNECESSARY

FIRST you add up the whole numbers

THEN you find the LCD for the fraction part.

THEN you change each fraction part so that it has a common denominator.

THEN you add up the fraction parts 

THEN if the fraction part is an improper fraction you convert it to a mixed numeral.

THEN you add the whole number part to the sum of the fractions part.

THEN you are finished.

$$2n^2-n-15=0$$

You can solve this using the quadratic formula or you can factorise it manually.

I'll give you more detail on the manual method.

$$2n^2-1n-15=0$$

You need to find two numbers that multiply to -30 and add to -1Well one will be negative and the other positive. Plus they 

Well one will be negative and the other positive. -6 and +5 works

So  $$-1n$$   is replace   $$-6n+5n$$

$$\begin{array}{rll}
2n^2\:\:-1n\:\:-15&=&0\\
2n^2-6n+5n-15&=&0\\
2n(n-3)+5(n-3)&=&0\\
(2n+5)(n-3)&=&0\\
\end{array}$$

$$\begin{array}{rllrlrll}
2n+5&=&0 &\mbox{ OR }& n-3&=&0\\
2n&=&-5 &\mbox{ OR }& n&=&3\\
n&=&-2\frac{1}{2} &\mbox{ OR }& n&=&3\\
\end{array}$$

Or you can use the quadratic formula. This will help you remember it.