All Answers 358087 Answers

https://www.youtube.com/watch?v=HQc-54hQ8kw - that's the video :/

Solve for angle X

There is no equation above

It was wrong.

Just solve for X

Well, it looks like your "computer program" is faulty!

What is the range of 10-digits numbers? They range from: 1,000,000,000 ( one billion) to 9,999,999,999.

Remember: the question is about "the sum of the digits that are divisible by 10"

The largest such number is: 9,999,999,999 ==10 x 9 ==90 which is divisible by 10.

The smallest such number is: 1,000,000,009==1 + 9==10 which is divisible by 10

Therefore, we have: 9,999,999,999 - 1,000,000,009 =8,999,999,990 such numbers

8,999,999,990 / 10 + 1 ==900,000,000 such numbers [whose sum of the digits is divisible by 10].

What do you want to know?

There are 76 ways of spelling FOOT.

I wrote a computer program, and got an answer of 20,000,000.  That's a lot!

By the Binomial Theorem, the coefficient of y^4 is -200.

This simplifies to sqrt(6).

Here are the steps:

I communicated with Admin today.

He said he has spend a lot of time on the registration problem and hopes that it is fixed but he is not sure if 'the fix' may lead to other perhaps different problems. 

I am sure people will continue to use the flag button to report ongoing problems (which is the main way that it should be done)

Polite posts on the forum just informing people of their problems/experience, or private messages to me personally are also acceptable but please understand that i cannot personally fix your problems.  (It is just good that I am aware of general problems that people are having)

Thanks eveyone for your patience.

We are all aware that there are problems on this site but the owner has provided it, free of charge, for our use.

I and others have told the owner of the problems, I expect that now we have to be patient till he has time to fix them.

First you say admin is never here then you say the problems are his fault.

If he is not here then how do you expect your comment to help the situation?

I think you were just airing your frustration, I didn't think it was helpful so I blanked it out.

In a short time I will white out this thread as well, I just want you to read my comment first.

I answered thie question very recently.

Go find it.

Very nice, EP  !!!!

Answered under the link above

Call the number of pineapples originally in Stall B =  P

Call the number of watermelons originally in Stall A = W

And we  know that   (3/4)P =  W  

When Stall A  sells  52 watermelons and gets 52 pineapples from Stall B, it  still contains

W fruits =  (3/4)P

And, at the end, Stall B contains P -52   pineapples

And the  ratio  of the  number of pineapples in Stall B to number of fruits in Stall A =  7/15

So

P - 52               7

_____  =       ____           cross-multiply

(3/4)P              15

15 (P -52) = 7(3/4)P

15P - 780 =  (21/4)P

15P - (21/4)P  = 780

(60 - 21) / 4  * P = 780

39 / 4  * P  = 780

P  =  780 * (4/39)    =   20 * 4  =   80  pineapples in Stall B at first

(3/4) P  = (3/4) * 80  =   60  watermelons in Stall A at first  

Total cost of all the fruits at first  = 60 ( $4)  + 80 ($2.50)  =  $240 + $200  =  $440

It's actually easier to answer (b) first

Let A  =  the amount that Adam started with

Let B  = the amount that Bill started with

Let C = the amount that Carl started with

We know that, since each paid an  equal amount, then

(1/2) A  = (6/7)B = (3/4) C

Which implies that

A =  (2/1)(6/7)B =  (12/7)B

C =  (4/3)(6/7)B = (24/21)B  =  (8/7)B

And we know that  

(1/7)B + (1/4)C   =  44820

So....subbing for C ,we have

(1/7)B   + (1/4)(8/7)B  =  44820

( 1/7)B + (8/28)B = 44820

( 1/7)B + ( 2/7)B =  44820

(3/7)B =  44820      mult both sides by 7/3

B = 44820 (7/3)   = $104580     what  Bill started with

A= (12/7)(104580) = $179280     what Adam started with

C = (8/7)(104580)  = $119520   what  Carl started with

And the flat cost

(6/7)(104580)  + (1/2)(179280)  +  (3/4)(119520)  =

$89640   + $89640   + $89640   = 

$268920

If you new how to do it you would have already posted a pic.

Not just made slide, inane remarks to others.

Let A be the total area  of the largest square

The smallest  square occupies [ (2 ) / (2 +9)]A  =   2/11  of the total area  =  (2/11)A

The shaded area occupies  [ (3) / (3 + 7)]A =   3/10 of the total area  =  (3/10)A

Shaded area                                  (3/10)A      (3/10)

____________________   =        ______  =    ____   =   (3/10) (11/2)  =   33/20 =  33 : 20

Area of smallest square                (2/11)A       (2/11)

108 (1/3) =   $36 on  earphones

108 (1/4) =  $27  on the flash drive

He has

108  - 36 - 27   =   $45  left

Call the total number of people at the concert  = N

(2/3)N  wear hats

Then (1/3)N don't wear hats

And of these, (2/5) don't wear T-shirts, either =  (1/3)(2/5)N = (2/15)N

So

(2/15)N =  840

N = (15/2) 840   =  6300 people at the concert

I got ir right thank you! :D

Let  z  =  log_y⁵(x³)     --->     (y⁵)^z  =  x³     --->     y^5z  =  x³

Then  z  =  k·log_y(x)     --->     z/k  =  log_y(x)     --->     y^z/k  =  x

Substituting:     y^5z  =  ( y^z/k )³     --->     y^5z  =  y^3z/k

                                                     --->      5z  =  3z/k

                                                     --->        5  =  3/k

                                                     --->        k  =  3/5