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Thanks for your help guys!!!

Thanks, EP....you saw the more simple way faster than I did!!!!

6m-2m-6 = -60       combine like terms on the left

4m - 6  = -60     add 6 to both sides 

4m  = -54      divide both sides by 4

m = -54/4   =  -27/2

Here's another possibility...just slpit the original problem up as

1 /  [√2 / 2 ]  +     [√2 / 2 ]  /  [√2 / 2 ]   =

2/√2     +  1   

[ √2 * √2]  /  √2    + 1  =

√2    +   1  

This is definitely easier than my first approach  !!!

Another way....you are dividing by a fraction, so flip the denominator and multiply

(1 + sqrt(2))  x  2/sqrt (2)=  2/ sqrt2  +1

Then simplify the first term by multiplying by   sqrt2/sqrt2

sqrt2/sqrt2 (2/sqrt2)     + 1 =      1 + sqrt2

Distance / Rate  =Time   ....so....

1430 / 55   =  

26 hrs

This isn't as bad as it looks

[ 1 + √2 / 2 ]  /  [√2 / 2]      get a common denominator on top

[ (2 + √2 ) / 2 ]  /  [√2 / 2]      the "2's"  in each denominator "cancel"

[2 +  √2 ]  /  √2    =

2/√2    +    √2 / √2   =

[√2 * √2 ]  / √2     +     √2 / √2

√2  + 1

And that's it  !!!

3sqrt(2)^2 = 6

If the dash is a minus in front of the 3, change the answer above to negative 6

Idiot, it's 10. Lol you're probably some high schooler joking around.

348 divided by 20 = 17.4

As a fraction:

348/20 = 87/5(Simplified, of course.)

Yes. Type a number, then a slash, then another number.

In 2 hours from the time the man leaves his office, the minute hand will be at the same place that it was when he had left and the hour hand will have moved: 2/12 or 1/6 the distance around the dial. Since the hands had changed places on his return, the time over 2 hours will be the time that it would take for the combined movement of both hands to go 10/12 or 5/6 of the distance around the dial. Since the minute hand moves 12 times as fast as the hour hand, the ratio of the distance travelled by the minute hand to that tavelled by the hour hand is 12:1. Therefore the minute hand moves 12/13 of the distance, or: 12/13 x 5/6 x 60 =46 2/13.
Therefore, he was away from the office for: 2 hours and 46 2/13 minutes.

1. Go to the LaTeX button, copy and paste this code into the text box and click OK.

Figure 1:

 \frac{numerator}{denominator} 

2. The code, in Figure 1, will display this:

\(\frac{numerator}{denominator}\)

3. Or go to the LaTeX button, copy and paste this code into the text box, but this time don't click OK.

Figure 2a:

 \frac{numerator}{denominator}

4. Then, highlight the word numerator and replace it with a number you are trying to use. Do the same thing with the word denominator.

Figure 2b:

 \frac{numerator}{denominator} ⇒ \frac{15}{denominator} ⇒ \frac{15}{60}

5. The code, pointed from the 2^nd arrow in Figure 2b, will display this.

\(\frac{15}{60}\)

2x² - x = x²

0.1 = 10%

Move the decimal point (.) two points to the right and done!

0.1, 01.0, 010.0 = 0.1, 1.0, 10.0 = 10%!

What's not right?

(1/2) = 0.5

0.5 * (-3) = -3 * .5

-3 * 0.5 = -1.5 (A.K.A: -1 1/2)

I found this in a book called "Great Lateral Thinking Puzzles" and that one was a bit difficult to figure it out, but thanks for the answer!

Use this conversion     pi/ 180    and we have

  17   x   pi/ 180   =    (17pi) / 180    radians

One bar of what?

Iron?

Copper?

Chocolate?{lol}

Thanks for the reply CPhill, so would the final answer by theta= 2pi/3 and theta= 4pi/3 ???

Yep...if we just wanted the values between  0  and 2pi

Take the corn and make the duck swim across by bribing it with corn. Then the fox will follow the duck across because it wants to eat it.

Or have the duck eat the corn and the fox eat the duck and take the fox across.

he takes the duck across first, then the fox, but takes the duck back. then he takes the corn across to the fox, then takes the duck across after.