All Answers 356028 Answers

Sam and Delilah are reading different books. Today, Sam and Delilah read one chapter in their respective books, and they each read more than once page. Intersetingly, they read the same number of pages, but the sum of the page numbers for the chapter Sam read was 880, and the sum of the page numbers for the chapter Delilah read was 1008. How many pages did Sam read today?

I do not understand this quesion ???

0/0 is undefined.

No number can be divided by 0.  It is meaningless.

atan(x)+atan(y)=atan((x+y)/(1-xy))

x,y=?

\(atan(x)+atany=atan(\frac{x+y}{1-xy})\\ let\;\;x=tanp\;\;\;and\;\;y=tanq\\ atan(tanp)+atan(tanq)=atan(\frac{tanp+tanq}{1-tanptanq})\\ p+q=atan(tan(p+q))\\ p+q=p+q\\ \)

There are restrictions on the domain and range but what I have discovered is that, allowing for the restrictions, this is an identity.   (it is always true)

Determining the restricions is more confusing.

An obvious restricion is that 1-xy cannot be 0

\(xy\ne1\)

I can't get my head around the rest of the restrictions but here is what Wolfram alpha has to say about it..

If you were to define  a + b  to be  (a·b)·a,     [with  ·  meaning the usual multiplication]

then:

     1 + 2  =  (1·2)·1  =  2

     2 + 3  =  (2·3)·2  =  12

     3 + 4  =  (3·4)·3  =  36

     4 + 5  =  (4·5)·4  =  80

     5 + 6  =  (5·6)·5  =  150

Final Answer: -17/5, -3 2/5, or -3.4

1: Simplify; 27/5 + -44/5 is the same as 27/5 - 44/5. 

= 27/5 - 44/5

2. Join the denominators

27−44 / 5

3. Simplify

−17/5

Decimal Form: 

−3.4

Mixed Number Form:

−3 2/5

Hope this helps! 

Thanks asinus :)

$249-%15

Do you mean

$249 - 15% of $249   ?????

249-0.15*249 = 211.65

X = -2

Solve for x by simplifying both sides of the equation, then isolating the variable (x).

You want to isolate X, so put all numers to one side. 4-6=-2. 

Now your equation is -2=x. 

Check: 

x+6=4

-2+6=4. 

Correct! 

FINAL ANSWER: x = -2

Hope this helped!

Hi. Olivia :)

4=6+x

Is the same as

X+6=4

You need to get rid of the 6 to get x by itself.

-6 will work.

But if you -6 from the right side you must -6 from the left side too.

X+6-6=4-6

X= -2

Check

X+6=4

-2+6=4   yes it does !!   :D

Hello guest!

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

y - x = 25

x = (1/6)y

y - (1/6)y = 25

5y / 6 = 25

y = 25 * 6 /5

y = 30

x = 30/6

x = 5 (smaller number)

asinus :- )  !

When I made this troll post, I was so pickled I could only see out of one eye – well I really could see out of both eyes, but I saw two of everything, so I closed one eye.  Of course, I was laughing my head off when I made it.  Even though I now have the worst hangover of my life, I have laughed until I’m blue and still love every minute of it. 

An old prescription from Chimp Bones (Lancelot Link’s resident physician) has tempered the worst of my hangover, and these posts have tempered the worst of my grief.  My hangover will not return (at least not until I overdo the banana daiquiris again), but grief is waiting outside my door, like a freezing rain storm. It may not even wait outside for long, but for now, that is where most of it is. 

5 - 2 = 3 (three). 

You can solve this problem easily by using the Home Page of this website.

Oh! Of course you’d think Miss Melody wouldn’t know this. I am surprised that you do!

Genetically enhanced apes do not mind the colloquial use of the term “monkeys.”  They often refer to themselves as such.  Baboons do not like it, though. This is probably why it bothers you. 

You may be right about them being “too intelligent for the likes of GingerAle.”  I have to ask, “Where does this leave you?”  I can find my own posts; I can find yours, too. 

Not Ale, troll-bait. Banana daiquiris.

 They are such a handsome troop!

Thank you, Miss Melody. It’s a great honor to be considered for the resident troll and chief position. And while today’s post was truly a great solo flight, my math skills are too primitive to be a troll master, or even a junior troll, on this forum.  I wish that were not so.

Of course, I will be happy to stir a pot when it’s needed or sterilize a post that has CDD, just like I did with this one.   This post didn’t have math, just dumbness. It wasn’t really contagious, either —just hidden.  

I am so pleased, Sir CPhill.  It is truly a great compliment when one sees the Master in the student. 

Did my nifty hat give me a way?

I am a member of A.P.E. but I’m not at a high enough rank to have assistants yet. Because of today’s post, I think I will be eligible soon.  I spent weeks seeking a position at A.P.E. before finally getting a reply from the top banana himself, LancelotLink.  Here’s an extract from our exchange.

. . .

Lancelot: Humm . . . This is very interesting, my dear. It is not easy to tell from your overtures, but just so I’m clear, do you want to join The A.P.E. organization or my harem?

Ginger: Well, being an apprentice to Lancelot’s A.P.E. organization would look good on my resume. Artistic adviser to the board of directors of A.P.E would look really cool. However, if I join your harem, I suppose I could put carpenter in my resume. Not as impressive, but still accurate. 

Lancelot: Carpenter? How do you derive carpenter from that honored position?

Ginger: By finding the root of the problem.  You need someone skilled at making your banana daiquiris and your banana stand.  A carpenter would be ideal for such a problem. Don’t you think so? 

Lancelot: After a banana-boat load of laughter, the board voted unanimously to approve your contract to join A.P.E.  . . .  Joining the harem is totally optional, of course. 

Though the troll master is not really my employer, he is my mentor and my dear friend. I sorely miss his troll posts and him.  

two carts with identical masses of 500 gram and 400 gram collide on an experimental linear track. the first cart has a velocity of 2 cm/s, while the second has a velocity of -4 cm/s.

Hi

x>0 , y>0 and x*y<1

Yes - Good work Max :))

  ∑ 3k(k^2-2k+4), k=3 to 20

=117,567

(x^2 - 1)/lnx+x-1= 0

(x² - 1) / lnx + x -1=0

x is not defined.

hello can u give me some tips how to easily calculate for example x=log(1/16)2 i know its (1/16)^x = 2 but i dont know how to calculate that x

\(x=log_{(1/16)}2\\ \left(\frac{1}{16}\right)^x=2\\ \left(\frac{1}{2^4}\right)^x=2\\ \left(2^{-4}\right)^x=2^1\\ 2^{-4x}=2^1\\ -4x=1\\ x=\frac{-1}{4}\\~\\ or\\ x=log_{(1/16)}2\\ \left(\frac{1}{16}\right)^x=2\\ log_{10}\left(\frac{1}{16}\right)^x=log_{10}2\\ xlog_{10}\left(\frac{1}{16}\right)=log_{10}2\\ x=log_{10}2 \div log_{10}\left(\frac{1}{16}\right)\\ \)

(log(2)/-1.2041199826559248) = -0.25

           10
find      ∑ (k+2)*3*2^k
         k=0

\(\displaystyle\sum_{k=0}^{10}\;\;3(k+2)*2^k\;\;\\ =3*\displaystyle\sum_{k=0}^{10}\;\;(k+2)*2^k\;\;\\ =3[(2)+(3*2)+(4*4)+(5*8)+(6*16)+(7*32)+(8*64)+(9*128)+(10*256)+(11*512)+(12*1024)]\)

=67584