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Wow, my wish actually came true, CPhill did beat you.

Your question is missing some important numbers. See answer No. 7 here:

https://web2.0calc.com/questions/help_85792

∑[ n / 3^n, n, 1, ∞ ] = the sum converges to 3 / 4

Here is the “Partial Sum Formula”, if you wish to check it for yourself.

 1/4 * 3^(-m) * (-2 m + 3^(m + 1) - 3)

In what bases, b, does (b + 10) divide into (8b + 10) without any remainder?

Well if everything is in base b then we have

b+10=2b  (any base)

8b+10=9b (any base)

9b/2b= 4.5  

So I am reasonably sure there will be a remainder in any base.

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I suspect the tens in the question are actually meant to be in base 10

in which case guests answer of base 4 does work.   Thanks guest for your answer 

If b=4 then you have

\(\frac{8b+10}{b+10}_{base\;10}=\frac{8*4+10}{4+10}_{base\;10}=\frac{42}{14}_{base\;10}=3_{Any\;base\;4\; or\; more }\)

It does not at all matter whether there are 100 numbers or just 4. The best way to approach the problem is to consider drawing just two numbers. So you've drawn two distinct numbers: what is the probability that the first one will be less than the second? Well, there are just two ways to draw two chosen numbers: the smallest either come first or last, meaning that the probability of drawing two numbers in their natural order is 1/2.

When it comes to four numbers, there are 24 permutations of four objects and thus 24 ways to draw a given set of four numbers. Only in one permutation, out of 24, will all four numbers be in descending order.

I do not agree that these are year 5 or 6 questions. They are certainly year 7 questions.

However you have lodged a formal complaint saying that guest has called you 'dumb'

The response has not been edited and the word 'dumb' is definitely not included.

I do not think that you are being bullied.

ElectricPavlov answered your question last time.

this was your response

   "Im only in year 7 leve me alone "

Do you think this was a polite or helpful response?  I most definitely do not.

What you should have said it "Thanks very much but I really still do not understand"

I do not think that guests response is particularly rude. 

But I do think your response to Electric Pavlov was rude and immature.

If you are in year 7 then it is reasonable that you are immature but that does not forgive rudeness.

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NOW many of the questions above are similar.

Ask one question at a time and try and learn from the answer before you post your next question.

Interact with your answerers, they like that, they will put effort into explaining exactly what you do not understand.

Base B

l = lower level seats                    money from lower level seats = $ 55 l

u = upper level seats = 241- l     money from upper level seats    $ 30 (241 -l )   summed = $ 9355

55 l         +   30(241-l ) = 9355      solve for 'i'  lower level seats , then upper level = 241 - l

tysm!!

can you explain that a bit more?

thank you!!

thank you so much!

can you explain that a bit more?

The air force plan flies   4480 mi -  350 m/hr * 2 hr  = 3780 miles   in 9 hours 

3780 m /9 hr = ..........   m/hr

Thank you ^0^ 

I haven't learned about Pascal's Triangles yet, so I'll go and search them up and see if I can do my other homeworks by myself.

No. (1) answer is any pair of 50 students and NOT a specific pair of  Jack and Mike !!

Since they are going in opposite directions, when they meet they have covered 1 mile using their combined speeds   x+ y   mi/min

x+y  mi / min  * 6 min =  1 mile      (x+y) * 6 = 1       or     6x + 6y =1

let x = faster    y = slower

x mi /min * 60 min  =   y  mi/min  * 60  min   + 1 mi     or       60 x = 60 y  + 1

Now you have two equations with two unknowns....solve for x and y

1 room / 3 hrs    + 1 room / 2 hours    = 1 room/ x hours

1/3   + 1/2    = 1/x       solve for 'x' the amount of time required if both of them work.....

170 m   -   55 m/hr * 2 hr     = 170 - 110 = 60 miles

He drove through the 60 miles of construction in 2 hours

60 m / 2 hr =......... m/hr

Her rate in m/h    is just that.....   take the miles (3/4 m)   and divide by the hours  (1/6 hr)

3/4   /   1/6     =       3/4    *   6/1   m/hr   =   ........

is 0 greater than or equal to negative 12

See..., -12 and 0 are dark holes; but -12 is much deeper and darker.  

a = 1 and b = 1, so a + b = 2.

\(\text{t is Tom, f is father}\\ (t-5)=\dfrac{f}{3}\\ (t+5)=\dfrac f 2\\ \text{add these}\\ 2t = \dfrac 5 6 f\\ t = \dfrac{5}{12}f\\ \dfrac{5}{12}f - 5 = \dfrac f 3\\ \dfrac{f}{12}=5\\ f = 60,~t=25\)

What? No, not even close lol. Not only did you not use LaTeX (presumably to make it harder to notice how obviously wrong this is), you somehow ended up with a line intersecting a circle at 3 points, and well as having the most b******t length i've ever seen in my life. Normally I'd give you more courtesy, but this is just so incredibly wrong on everything, that I won't give a word of gratitude.

\(\text{One simple way to do this is to change the constant on the right hand side until $(3,6)$ solves the equation}\\ 4(3)-3(6) = 12-18 = -6\\ 4x-3y=-6\\ \text{is parallel to $4x-3y=21$ and passes through $(3,6)$}\)