All Answers 358098 Answers

Ya but it repeats a lot though.

(3x - 4) + (1 - 2x)i  =  5 + 0i

Set the real part equal to the real part:                    3x - 4  =  5   --->   x = 3

Set the imaginary part equal to the imaginary part:   1 - 2x  = 0   --->   x = 1/2

Impossible!

7/9 + 11/13

Find a common denominator:  multiply  9 x 13  to get  117

To change 7/9:   (7 x 13) / (9 x 13)  =  91/117

to change 11/13:  (11 x 9) / (13 x 9)  =  99/117

91/117 + 99/117  = 190/117                       (Add the numerators 91 + 99; keep the denominator as it is.)

You have two variables; you can't solve to get a single answer.

However, you could solve for y, for x, for y/x, or x/y.

If you can be more specific, we can help you.

Make certain that you write both fractions with the same denominator.    

For instance, if the problem is  4 3/4  +  9 2/5:

Find the common denominator (multiplying them will give you a common denominator) 4 x 5 = 20

To change 3/4:  3/4 x 5/5  =  15/10   (multiply the numerators together: 3 x 5 = 15                                                                                                        and the denominators together: 2 x 5 = 10) 

To change 2/5:  2/5 x 4/4  =  8/20

So the problem becomes:  

    4 15/10  + 9 8/20   =   13 23/20     (Add the numerators together; put that answer over the common                                                                     denominator.)

23/20   =   1 3/20     so     13 23/20   =  13 + 1 3/20     =  14 3/20

I hope this helps. If you have specific questions, please re-pst.

Very nice proof, Melody !!! 

To enter a negative into this calculator, just use the minus key.

YAY!

Is this the problem:  8 2/3  +  -9 1/6  ?

If so, you will need to subtract the  8 2/3  from  9 1/6  and make your answer negative.

To subtract  2/3  from  1/6  you will need to have a common denominator; since 3 goes into 6, turn them both into 6ths:    2/3  =  4/6

     9 1/6  -  8 2/3

     9 1/6  -  8 4/6

Since  4/6  is greater  than  1/6  rewrite the  9  as  8 + 1  and turn the  1  into  6/6:

     9 1/6   =   8 + 1 + 1/6   =   8 + 6/6 + 1/6   =   8 + 7/6   =   8 7/6

Now, the problem is:   8 7/6  -  8 4/6   =   3/6   =   1/2

But since there was more negative than positive, the answer is  - 1/2 

Thanks, Melody.......I see now what the questioner meant !!!!......disregard my answer !!!

BTW.....I liked the way you did that one....very clever......I haven't seen that technique before, but I intend to add it to my "tool chest".....!!!!!

To find the answer, just add the whole numbers.

$${\mathtt{4}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15}} = {\mathtt{19}}$$

Now, combine the fraction and the whole number.

$$19\dfrac{31}{40}$$

So, $$19\dfrac{31}{40}$$ is the answer.

A boat travelling at a constant spedd traveling 2.5 miles in 20 minutes:

     Distance   =   rate x time

       2.5 mi    =   rate x 20 min     --->     rate  =  2.5mi / 20 min     =  0.125 miles per minute

If the boat travels a total of 10 miles:

     Distance   =   rate x time

     10 miles   =   0.125 mi/min x time     --->     time  =  10 mi ÷ 0.125 mi/min     =     80 minutes

Fri 3/10/14

1) The Ghost of Web2.0 calc has graced us with a visit, laying a lay of lavish wonderment at the feet of our dear Princess Kitty.

300   =   π · r² · 0.0006

First, divide both sides by 0.0006

500 000  =  π · r²

Now, divide both sides by pi:

159 154   =   r²

Finally, take the square root of both sides:

r   =   398.9   ≈   400

I can't help you with the units because I don't know the units of  0.0006  (and I find it strange that the 300 is in km).

Yes I think that we are both right.   

I believe that this problem is incomplete; were you giving the domain of x?

Finish the question and re-post.

Thanks.

WOW! OUR SUPERSTAR EXPLAINED THE ANSWER, AND MY ANSWER IS CORRECT TOO!!!

WOW MELODY! YOU ARE A SUPERMODEL!!!!!

$$\\-i=-\sqrt{-1}\\
or\\
-i=-1*\sqrt{-1}\\
-i=i^2*i\\
-i=i^3\\
or\\
-i=(-1)^3*i\\
-i=(i^2)^3*i\\
-i=i^6*i\\
-i=i^7\\
$continuing with this pattern I think$\\
-i=i^{4n+3}\qquad $Where n \in Z $ and $ n\ge 0$$

Now it has got me thinking more.

what if n was a negative integer?  Would that work?

$$\\i^{-4n+3}\\
=i^{-4n}*i^3\\
=\frac{1}{i^{4n}}*i^3\\
=\frac{1}{(i^{4})^n}*i^3\\
=\frac{1}{(1)^n}*i^3\\
=\frac{1}{1}*i^3\\
=i^3\\
=i^2*i\\
=-i\\\\
so\\\\
-i=i^{4n+3} \qquad $ where $ n \in Z\\
$n can be any integer, it does not have to be positive$$$

The answer is approximately 316 227 . 766 001 026

√-1  =  i        = i^5        = i^9       = i^13       = ... 

-1     = i²       = i^6        = i^10     = i^14       = ... 

-i     =  i³       = i^7        = i^11     = i^15       = ...

 1    =i^4      = i^8        = i^12      = i^16       = ...

So if the exponent is positive, divide the exponent by 4:

if the remainder is 0, the value is  1

if the remainder is 1, the value is  i

if the remainder is 2, the value is  -1

if the remainder is 3, the value is  -i

For negative exponents:

i^-1  =  1/i x i/i   =   i/i²    =   i/-1   =   -i       =    i^-5     =   ...

i^-2   =   1/i²      =   1/-1   =   -1                  =   i^-6       =   ...

i^-3   =   i/i³       =   i/-i     =   i                     =   i^-7       =   ...

i^-4   =   1/i^4   =   i/1     =   1                     =   i^-8       =   ...

So if the exponent is negative, divide the exponent by 4:

if the remainder is 0, the value is  1

if the remainder is 1, the value is  -i

if the remainder is 2, the value is  -1

if the remainder is 3, the value is  i

you can write 2 28 times.

OR--------------------------------------------------------------------------------

Use the home calculator.

you can write 15^27 like this:

15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*15*

Or-------------------------------------------------------------------------------

use a calculator.

$${{\mathtt{15}}}^{{\mathtt{27}}} = {\mathtt{56\,815\,128\,661\,595\,284\,938\,812\,255\,859\,375}}$$

so, $${\mathtt{56\,815\,128\,661\,595\,284\,938\,812\,255\,859\,375}}$$ is our final answer.

Do you meant

0.72727272.....

let x=0.727272.....

100x=72.727272

so

100x-x=72   The rest cancels out

99x=72

x=72/99

3.56*10^9

$${\mathtt{3.56}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}} = {\mathtt{3\,560\,000\,000}}$$