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Hint

count the squares on the 2 short sides

count the squares on the long side.

what do you notice?

I suspect it's Adobe Flash player as that's what seems to be running the animation.

.

Thank you Mickado 

Beats me

so 2^44 possibilities, 1000 guesses / second,

thus: 2^44 / 1000 seconds and then that can be converted to years:

2^44 / (1000 * 60 * 60 * 24 * 365) = 557.8 (years)

This problem cannot be solved without an equation. 

The variable: y, has a value, but we do not know it. 

To solve it, you need to find the equation pairing it. Such as...

3y + 7 = 28. 

x + 2y - 6 = 0

$$x + 2y - 6 = 0\\
2y=-x+6\\
\boxed{y=f(x)=-\frac{1}{2}x+3}\\\\
\small{\text{
r = radius of the circle
}}\\
\small{\text{
$
x=f(x)=r
$
}}\\
\small{\text{
$
x=-\frac{1}{2}x+3
$
}}\\
\small{\text{$\frac{1}{2}x+x=3 $}}\\
\small{\text{$\frac{3}{2}x=3 $}}\\
\small{\text{$x=\frac{2}{3}*3=2$}}\\
\small{\text{$r=2$. The center of the circle is $(x_m,\ y_m) =\ ( 2,\ 2)$
}}\\
\small{\text{The equation of the circle is:
}}\\
\small{\text{
$
(x-x_m)^2+(y-y_m)^2=r^2 \qquad (x-2)^2+(y-2)^2=2^2
$
}}$$

Convert 1 2/8 into an improper fraction, 10/8, then line the two fractions as if you are multiplying, inverse the divisor, and multiply and cross-simplify.

Math, a shortening of mathematics, is defined as the science of numbers, quantities, and shapes and the relations between them (Merriam Webster online.)

THE "SIGN OF THE DEVIL" = 666  !!!

Run for your lives....!!!!!

We're looking for a point on the line that is an equal distance to both axis..........thus, we're looking for a point such that x = y

So, we have

x + 2y - 6 = 0      let y = x

x + 2x - 6  = 0

3x - 6  = 0

3x = 6

x = 2

And by the same rationale, y= 2

Thus, our center is (2,2)   and the radius = 2

Here's a graph...

hello i am 11 yer alt wat is 123+123+420? please giff me answer

Die Antwort ist: $${\mathtt{123}}{\mathtt{\,\small\textbf+\,}}{\mathtt{123}}{\mathtt{\,\small\textbf+\,}}{\mathtt{420}} = {\mathtt{666}}$$

$${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{3.14}}$$=78.539816339744831

Okay I know why mine is wrong.

$${\left({\frac{{\mathtt{6}}{!}}{{\mathtt{2}}{!}{\mathtt{\,\times\,}}({\mathtt{6}}{\mathtt{\,-\,}}{\mathtt{2}}){!}}}\right)}{\mathtt{\,\times\,}}{\left({\frac{{\mathtt{4}}{!}}{{\mathtt{2}}{!}{\mathtt{\,\times\,}}({\mathtt{4}}{\mathtt{\,-\,}}{\mathtt{2}}){!}}}\right)} = {\mathtt{90}}$$

This does give the number of choices if the order they are chosen matters but it does not

so say  the partners are AB  CD  EF

so you can choose which of these pairs go first the is 3 choices then second 2 choices then 3rd only 1 choice,

that is 3*2=6 ways so

90 must be divided by 6 = 15 possible pairs.

420?

A bag contains 2 white b***s,3 black b***s and 4 red b***s. In how many ways can 3 b***s be drawn form the bag, if at least one black ball is to be included?

Bertie showed me how to get the permutations for this problem

====================

How many permutations of 3 b***s are there.

Well the first ball can be any of 3 colours, so can the second and so can the third so that is 3*3*3=27  BUT there are only 2 white b***s so one of these (that is WWW) does not exist

so 27-1=26 possible permutations.

====================

how many permutations contain no black one

Well the first one can be W or R,so can the 2nd and the third so 2*2*2 but once again they cannot all be white so we must take 1 away

so 8-1=7 permutations containing no black

=======================

Therefore  26-7=19 permutations DO have at least one black ball.   

=======================

Thanks Bertie.  Some problems are so easy when some smart person shows you how to do them.  

Thanks Chris :))

I believe that the famous Indian mathematician, Ramanujan, proved that this converges to 3

As to how he did it.......that's way above my pay grade....!!!!!

You can read about this mathematical genius, here....

To divide 4/7 by 3/5,

First you need to turn the second fraction upside down (it becomes a reciprocal)

3/5 becomes 5/3

Then multiply the first fraction by that reciprocal

4/7 x 5/3 = 4x5/7x3 = 20/21

And now simplify the fraction

20/21 = 0.95 (to 2 decimal places)

Sorry Melody, hope this answer makes more sense.