The balanced scale represents the equation: 3x + 1 = x + 3 X If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will
balance the scale?
A)
subtract one x block from the left side and subtract three numbered blocks
from the left side
B)
subtract one x block from the left side and subtract three numbered blocks
from the right side
C)
subtract one x block from the right side and subtract three numbered
blocks from the left side
D)
subtract one x block from the right side and subtract three numbered
blocks from the right side

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )

The perimeter of a rectangular rug is 24 feet. the length of the rug is 1 2/5 i s width. what is the area of the rug

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.