You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?

  20  

Step-by-step explanation:

Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...

  (n+k-1)C(n)

where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:

  aCb = a!/(b!(a-b)!)

For n=3 and k=4, this is ...

  (3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20

There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.

1760 kilometers

step-by-step explanation:

multiply the amount of time the plane took to travel by it's speed

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1