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You didn't cause any trouble CowgirlAMS 

It is divide and you can do it on the site calc.  :)

100/120*100  percent

There is no such thing as a tangent to a triangle.

Thanks Chris, this was an unusual question,

I like your answer but I am trying to think of another way to do it.

I've played with it a little but I have not found another way.   :/

$$\\ST*6\%=5\\
ST=5\div 6\%\\
ST=5\div 0.06\\$$

$${\frac{{\mathtt{5}}}{{\mathtt{0.06}}}} = {\frac{{\mathtt{250}}}{{\mathtt{3}}}} = {\mathtt{83.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

Chris maybe I am going a little balmy but I think your correction is identical to my original answer.

They are presented differently but I think that they are the same.  

f(3)-1=2x-4

this doesn't make sense to me :(

There is a thread on this in the sticky topics. :)

I do not think that this is correct.  although the presentation is very confusing.

20 ÷ 2(5+5)

=20 ÷ 2*(5+5)

=10*(10)

=100

yes, they are the same.

thanks anon,

the last step is  

-4>x

x<-4

i swapped sides so I had to turn the inequality around.

How can 90 people wear 120 different outfits?

I guess you mean that 90 people come and they randomly choose 1 of 120 outfits each. 

Let me see...

The number of ways that people can have different outfits (order counts)  is

$$120P90 = 120!/30! \approx 2.5219*10^{166}$$

The number of ways that they can have any outfit = $$120^{90}=1.3376\times 10^{187}$$

The prob that all the outfits are different would be 

$$\frac{120!}{30!} \div 120^{90} \approx 1.8855\times 10^{-21}$$

the prob that 2 or more are in the same outfit would be  

$$\approx 1-{ 1.8855\times 10^{-21}}=1$$   correct to more than 10 decimal places.

I am not sure of this answer - repeat at own risk.  LOL

$${\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{10}} = {\mathtt{21}}$$

Good suss out, Melody!!!

If one digit appeared 6 times......we would have  to have that digit as a factor 6 times......but we don't, since no single digit factor is repeated more than 5 times.....

By symmetrical I am assuming that you mean it is a palindome, BUT

it still does not make sense.

The prime factors of  3374862826400 are  $${{\mathtt{2}}}^{{\mathtt{5}}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{{\mathtt{5}}}{\mathtt{\,\times\,}}{\mathtt{13}}{\mathtt{\,\times\,}}{\mathtt{9\,613}}{\mathtt{\,\times\,}}{\mathtt{33\,757}}$$

therefore this number can not be the multiple of 16 single digit numbers            

If you are using the web2 calc on the home page then press = once and you get the answer,

press = twice and you get it in scientific notation. :)

There are infinite possibilities here...but....since these are roots of a quadratic, we have

y = a(x - 2) (x + 4)

Where a is some real number

y = 3x + 1    line      

y = x^2 + 1   parabola   

x^2 + y^2 = 1    circle   

y = x^2 - 1  parabola

P.S.  - you need to be able to recognize these by sight.....

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ? 

I'm assuming a 30 day month and a 360 day year in this problem...other assumptions may produce "round numbers" at the end..(I don't know, and don't really care)..but...we'll get close enough...besides...it's the idea of the thing that counts......

Let the son's age in years be x

Then, the son's age in weeks= 52 weeks per year times the number of years he has lived = 52x = the grandson's age in days

The grandson's age in months is (assuming a 30 day month) = the number of days he has lived/30 days in a month =  (52x)/30.  So the grandson's age in years  = (52x)/(12months*30 days in a month)  = (52x)/360

Let the grandfather's age in years = y  And this = the grandson's age in months

So  y = (52x)/30 ....and we have

The son's age in years + the grandson's age in years + the grandfather's age in years = 120   ...or....

x + (52x)360 + (52x)/30 = 120            

[360x + 52x + 624x]  = 43200

[1036]x = 43200

x =  41.7 years =    and this is the son's age...we'll call it 42

And the grandson's age iin years  = (52*41.7)/ 360  = about 6 years old

And the grandfather's age is   (52*41.7)/ 30 = about 72.28 years....and we'll call this 72

So

42 + 6 + 72  = 

48 + 72 =

120

Close enough!!!

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