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Insert a rational and irrational numbers between 3 & 5.

A rational number is any number that can be expressed as the quotient or fraction of two integers.

3.1 can be written  as  31/10

3.5394172 = 35394172/10000000

4 = 4  or  4/1

4.5 = 45/10  or  9/2

and so on...

An irrational number is any real number that cannot be expressed as a ratio of integers.

One of the irrational numbers between 3 and 5, well known to us, is:       

The formula for compound interest is A=P(1+r)^t wher A is the amount received after the time period, P is your initial amount, r is the interest rate, and t is the time. This is assuming that the interest in compounded on a yearly basis.

A=P(1+r)^t

A=10000(1+0.07)^5

A=10000(1.07)^5

A=10000(1.4025517307)

A=14025.52

With a payoff of approximately 1.4026 on the dollar after seven years you'd have made a $4 025.52 profit to then have a sum of $14 025.52

what is 142.5% of 20?          20 is 100%

(20/100)*142.5= 28.5

Thanks Alan,

What kind of question would you use that for ?

be glad i just barely have enough money

Heather, Alex, Pat, Matt, and I each paid 20% each of ice cream for our end of the year Empire hang out, the victory on the MERA, and for the new empires 

fhe only way we were able to afford it was gift cards and my money $8/day for house cleaning and maintenance

that was lots of ice cream

i only got $40 after the celebration (i had $720 for the celebration buying ice cream for pretty much of the now 8th grades population

its enough at least to buy for everyone

Thanks, Alan!

Hi MG

Good luck in all your tests today    

Yes the volume of a right prism (all the ones you are asked to deal with are right prisms)

Is just the area of the face that stays the same  x  how far back it goes.  

If it decreased by 5%, then 741 is 95% of what it used to be.......so....

741 / .95 =  780    ....and that's what it was in 2011

OK...I see the "ice cream" thing at the bottom of TR's post......hey.....bring me back some vanilla, will ya'  ????

2/6 + 3/10

20/60 + 18/60

38/60 simplified to 19/30

wat question anyway?

no clue.. lol. i just read over TitaniumRome's post. we're gonna go get ice cream. 

buuuuuttt... the more i think about it. i want a blizzard instead. and yea. a juicy hamburger sounds delish. :P

Mmmm...OK, BJ.......  I'll go with "hamburgers".....BTW....what was the question, again ???????

For the first one, we're just putting (x - 1)   into  x^2+x....so we have

(x - 1)^2 + (x - 1)   =   (x^2 - 2x + 1) + (x - 1)  =   x^2 - x

For the second, we're just multiplying f(x) by 2, so ......    2 [ x^2 + x ] = 2x^2 + 2x

Both legs = 26/√2

ice cream!

If, for some k > 1, 2^k - 1 is prime then 2^k-1(2^k - 1) is a perfect number

For instance, the first perfect number, 6   =  2^(2 - 1) (2^2  - 1)  =  2^1 ( 3)   = 6

So far, only even perfect numbers have been found......no one knows if there are any odd ones...if there are, the above formula would not applly......[it produces only even numbers ]

20√7 * 7√8  =     140√56  = 140√[4 * 14 ] =  140√4*√14  = 280√14  = about 1047.66 sq units

This is asking to solve this system.....   6x+2y=2    5x-7y=6      ....divide the first equation by 2.... this gives 3x + y = 1    rearrange       y = 1 - 3x    .......and subbing this into the second equation, we have ......

5x - 7(1 - 3x) = 6     simplify

5x - 7 + 21x  = 6       add  7 to both sides and simplify the left hand side

26x = 13       divide both sides by 26

x = 13/26 = 1/2 and   y =  1 - 3(1/2)   =   1 - 3/2  = -1/2

The 'base line' is whatever you decide it to be. It's used when trying to work out sides of a triangle so that you don't get confused.

USUALLY it is the side that is a different length from the others, or the side that is at the bottom of the triangle as you look at it.

Do you mean how to get these symbols:

> Greater than

≥ Greater than or equal to

< Less than

≤ Less than or equal to

You can't directly get these on most calculators.