This ratio is part:part, meaning that its 3 parts to 2 parts.

12/3=4

2*4=8

12:8 is similar to 3:2

The width is 8.

Yay!

3x+2/x-4=2x+18-7+1/x

3x+2/x-4=2x+1/x+11

3x+2/x+7=2x+1/x

3x+1/x+7=2x

[(3x+1/x+8)/2]/(3x+1/x+7)/2

This simplifies down to

(3x^2+8x+1)/(3x^2+7x+1)

...41

(I checked my work 3 times because if I mess this one up I will never live this down)

Yay?

A pair of children can only sit in these patterns, AC, AE, AF, BD, BF, CA, CD, CE.

There are 6 possibilities for the first seat, 4 for the next, and 2 for the last two. Meaning the possibilities are 6x4x2x2=96

1/3HB=T

1/3B=T/H

B=3T/H

Let x and y be real numbers such that xy=9 Find the set of all possible values of x+y

x times y is 9, meaning that there are 3 possible numbers for both x and y

x=1, 3, 9

y=1, 3, 9

1+9=10

9+1=10

3+3=6

If the roots of the equation 3x^2 - 6x + 5 = 0 are a and b, then find the quadratic whose roots are a + b and 2/(a + b).

x^2-2x+5/3=0

a+b=2

ab=5/3

x^2-(2+1)x+2=0

x^2-3x+2=0

Tens digit, sorry, my mistake

sorry man

3+2+2+4=11

If he eats one per day it will take 11 days to finish.

AAAOOOBBSSSS

One way to do it is as follows

11!/(3!*2!*2!*4!)

Which would be

69300

If the units digit of a perfect square is 6 then it will always be odd.

You can provide many examples

16

36

196 256

576

676

1156

1296