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Thanks so much!! I love yr explanation.

The sum of the first eight terms of a particular arithmetic sequence is three times the sum of the first four terms of the sequence. What is the ratio of the first term to the second term? Express your answer as a common fraction.

The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end? Round all years to the nearest whole number.

Hello Guest!

\(-550+(27 + 476)\cdot \frac{5}{11}\color{blue}=-321.4\)

The Persian Empire ended in 322 BC.

  !

A compact disc originally sells for $10.00. If the price of the compact disc is increased by 40% and this new price is later decreased by 30%, what is the final price?

See other post above this one.....you left out the 18 cm part in your Q

Well from the other post we know she draws 4 lines.     18cm/4 lines = 4.5 cm per line

  also the paper is.  4.5 cm x 4.5 cm.   
now can you do the 6 x 6. One?    Hint:  it takes 5 lines to divide into 6 spaces....

Note that TWO vertical lines and TWO horizontal lines will create a 3 x 3 grid

that is 4 lines at  ? inches each = .........   total inches.     You will have to know the dimensions (?)of the original square paper ....     3 x 3 grid of squares does not tell you the dimensions....

think you can do the 6x 6 one?    It is a little different

You can calculate ANY digit of pi directly by using the so-called "spiggott Algorithm"!

The trillionth digit of of Pi = 2

Alright!

Substitution of p=2q!

q-2r=0, 2q+r=5

Substitude q=2r!

2*2r+r=5

Substitude r=1!

q=2*1

q=2

p=2²

r=1

babababowwwwwww!

Yay!

OOH, OOH, MR. PAVLOV I CAN DO IT!

5x-25=4x-16

5x-25+25=4x+9

5x=4x+9

x=9

(x-5)/4 = (x-4)/5      given

5 ( x-5) = 4 ( x-4)     solve for the number 'x'

Find the area of the wall, which is 960.

200 square feet per gallon right? We have to find how many square meters are in that. So we multiply it by 0.3048 and get 60.96.

Then we divide 960/60.96=15.7480314961

Round it up to get 16.

The answer is... drumroll please... 16!!!!!!

:D

Yay!

P.S: Yw <3

thank you so much!

I... don't... think that... you can figure this out...

It could be anything...

I always get demerits, but I don't really care.

I'd say this is offtopic, buuuuuuuuuuuuuut, I want to know

This is really complicated.

You seem to have 140 variables multiplying in your first equation.

This is gonna take forever to do.

i⁶k(n⁴)o⁵(w³)t¹⁴h³...

yknow what, I'll getback to it soon

Assuming these terminal points are on the unit circle:

arctan 1  = 45 degrees                      x = sqrt 2 /2      y = sqrt 2/2

arctan -7 = 98.13 degrees                 x = 1 cos 98.13    y = 1 sin 98.13

Now you have two x 's  and two y 's      slope  =   (y1-y2) / (x1-x2)

Thank you so much Alan! 

A system of two linear equations will have infinitely many solution if both equations reduce down to the same one.

3a + 4b  =  7

6a + 4b  =  k - 4b   --->   6a + 8b  =  k

Muliply the first equation by 2:  3a + 4b  =  7   --->   x 2   --->   6a + 8b  =  14

Compare that equation to the second equation:                       6a + 8b  =  k

They reduce to the same equation if  k = 14.

570000 p / 68 mi² = ~~ 8400 people per square mile (rounded)