Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
Divide both sides by -2:
So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
So, our answer is 1 :)
Answer:
The number of complete award announcements possible are 19,554,575,040.
Step-by-step explanation:
Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.
Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.
The number of people entering this year is 22.
The number of ways to select 5 people for Grand Prize is, .
The remaining number of people is, 22 - 5 = 17.
It is provided that the other 5 are selected according to an order.
The number of ways to select other 5 winners is,
The total number of ways to select 10 winners of 22 is:
Total number of ways = 26334 × 742560 = 19,554,575,040.