GoldenLeaf

1620/22500

In this case, think of division.

First off, we can tell that the numbers are at least divisible by 10, because both of them end in a 0.

162/2250

Next, both numbers end in an even number. So, we can divide by 2.

81/1125

Next is a little trick I learned early on that helped. Add up all of the digits in a number, and divide by 3. If you eventually get all of the digits added and divided and they are equal to 3, 6, or 9 at the end of it, the number is divisible by 3.

For instance, 81. 8 and 1. 8 + 1 = 9. This number is divisible by 3.

Next, 1125. 1, 1, 2, and 5. 1 + 1 + 2 + 5 = 2 + 2 + 5 = 4 + 5 = 9. This number is divisible by 3 as well.

27/375

Try it again.

27. 2 and 7. 2 + 7 = 9. This number is divisible by 3.

375. 3, 7, and 5. 3 + 7 + 5 = 10 + 5 = 15.

15. 1 and 5. 1 + 5 = 6

This number is divisible by 3.

9/125

Try it again.

9. This number is divisible by 3.

125. 1, 2, and 5. 1 + 2 + 5 = 3 + 5 = 8. This number is not divisible by 3.

Because 125 is not divisible by 3, it cannot be divisible by 9 either, and because the only factors of 9 are 1, 3, and 9, this is the furthest simplified this fraction will become.

Going over this again with a calculator, $${\frac{{\mathtt{1\,620}}}{{\mathtt{22\,500}}}} = {\frac{{\mathtt{9}}}{{\mathtt{125}}}} = {\mathtt{0.072}}$$

Final answer: 9/125

Because not all people are the same. Some people are logically inclined, linguistically inclined, aesthetically inclined, etc. etc.

There is no definite answer as to why math is hard for so many people as far as I know of.

You need to isolate 'y' so that the equation is in y = mx + b form, or slope-intercept form.

-x - y = 2

-y = x + 2

y = -x - 2

Your y-intercept will be -2.

Now, to get the x-intercept, we need to isolate 'x', and then find what makes the whole equation '0'.

-x - y = 2

-x = y + 2

x = -y - 2

0 = -y - 2

2 = -y

-2 = y

So, your x-intercept will be -2.

Please note that it is merely coincidental that both the y-intercept and the x-intercept are the same number.

y = 9x + 50

y = 12x + 20

Because both equations equal 'y', they are equal to each other, leading to the following equation being true:

9x + 50 = 12x + 20

Simplify.

30 = 3x

10 = x

And now, substitute 'x' into either equation.

y = 9(10) + 50 = 90 + 50 = 140

Check.

y = 12(10) + 20 = 120 + 20 = 140

So x = 10, and y = 140

0 * 0 = 0 because any number times 0 is 0.

The concept of a zero, so multiplying something by nothing outputs a nothing.

So, $15 per person, and 100 people are meeting there. We need to find the fixed starting price.

Shouldn't be too hard!

So, 100 people at $15 per person... 15*100 = 1500

Subtract $1500 from the $2100 total... 2100 - 1500 = 600

The fixed starting rate is $600

Ahh, the trick question. I love these :D

Okay, so we have 1 + 1 = window. It's all rather simple.

Please disregard my absolutely horrendous computer handwriting.

Ahh, true. It would be a fun title, though it is not my place to defer a title to anybody, for I am but the lead musician...

So, consider the following. The ration is 7:2. This means for every 9 vehicles passing by, 7 are cars and 2 are trucks. Now, since 7 + 2 = 9, we can multiply everything by whatever will make the total equal 63... in this case, 7. Because everything is multiplied by 7, the statement and ratio remain true.

49 + 14 = 63

So 14 might be trucks, following the ratio.

I think you misunderstand the meaning of 'b*****d'... as in a 'b*****d child', or a child of illegitimate birth! It is impossible to be a b*****d sometimes; you were born that way, or you weren't. There is no in between :D