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0.7x=0.7x+2.4-0.2X

0.7x-0.7x+0.2x=2.4

0.2x=2.4

x=12

What she said

Area = pi * (radius)²

OK...so we have

(12 + x) / x = 4 / 3

And taking the cross-product, we have

3 (12 + x) = 4x    Expand the left side   

36 + 3x = 4x       Subtract 3x from both sides

36 = x

And that's it......make sure to check your answer !!

Could you be more specific?? An example of what you're referring to???

So we have  4*10^12 / 5*10^8 =

(4/5) (10^4) =

(.8 ) ( 10^4) =

8000 times

Did you finish your question??

3x minus what ??

Note that, for example,  2^-7   =   1 / 2⁷  = 1 / 128

So we can always write ("1") over (our number raised to the same positive exponent.)

Of course, a calculator can be used, too !!!!

So we have this:

12.6 / x = 17.1 / 11.4

So....by cross-product equality, we have

17.1 * x  = 12.6 * 11.4

17.1 x = 143.64

x = 8.4

48 x -48 = -2304

Thanks, Alan...I haven't seen that one before....another tool for my chest !!

For some reason...this technique  - to my knowledge -isn't covered in Algebra in the States.....it should be!!

Thums Up from me !!

That's what I like about this site......something new to learn for evetyone!!!

20 students c:

lol maybe the twisters will whisk me away to somewere were math dosent exist hmmm wizard of oz.....

lol thanks alan

ummm 5 i know math hurts but it shouldnt k**l you lol........

I've given you a thumbs up, zegroes!

dang alan i was working so hard on this one.......but yeah thats right

this is chemistry but ok first the equation is P1 V1 = P2 V2 boyle's law
plug in the numbers
P1 (20) = (12.2atm)(2.5)

P = 1.525 atm

rounded to 2 sig figs:
1.5 atm

Using p1*v1 = p2*v2 we have  p1*20 = 12.2*2.5 so p1 = 12.2*2.5/20

$${\mathtt{p1}} = {\frac{{\mathtt{12.2}}{\mathtt{\,\times\,}}{\mathtt{2.5}}}{{\mathtt{20}}}} \Rightarrow {\mathtt{p1}} = {\mathtt{1.525}}$$ atm

235 is the answer

You can use the on-site alculator for this....

OK.....I'll add a GOOD JOB !!!, too.......

Watch out for those twisters !!

Here's what you have written:

450 X 80 - 10 + 180 X 66 / 4

We always perform the multiplications and/or divisions as we encounter them from left to right as we encounter them.

So 450 X 80 =36000

The next thing we would evaluate is 180 X 66 = 11880

Then, we would divide this by 4 = 2970

So we have

36000 - 10 + 2970 = 38960

(x + 3)*(x - 1)*(x + 2) = x³ +4x² + x - 6

To find this, start by assuming (x-a)*(x-b)*(x-c) =  x³ +4x² + x - 6

The left-hand side can be expanded, to get: x³ - (a+b+c)*x² +(a*b+a*c+b*c)*x -a*b*c =  x³ +4x² + x - 6

By equating the coefficients of powers of x on both sides of this equation you get three simultaneous equations in a, b and c, which when solved, produce the result shown above.

By equating the coefficients I mean:

coeff of x²: -(a+b+c) = 4

coeff of x¹: a*b + a*c +b*c = 1

coeff of x⁰: -a*b*c = -6