The first place and 15th place are already decided, so we have to find the number of
different ways that the <em>other</em> 13 students can line up, in the places from #2 to #14.
2nd place can be any one of 13 people. For each of those . . .
3rd place can be any one of 12 people. For each of those . . .
4th place can be any one of 11 people. For each of those . . .
.
.
.
13th place can be any one of 2 people. For each of those . . .
14th place has to be the one student who is left.
Total number of ways that 13 students can line up in places #2 through #14 is
(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
That number is called "thirteen factorial". The number is <u>6,227,020,800</u> .
When you write it in math, you write it like this: 13!
z = -11
Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11
Hope this helps you! (:
-Hamilton1757
he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.
So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.
r=raisins, p=peanuts
(r x $3.25) + (p x $5.75) = $7.50
The correct answer is 4.1 x 10^-5