A food inspector wishes to inspect 4 of 29 chain restaurants operating in the same city. If the order of inspections does not matter, how many different ways can she plan the series of inspections?

570024

Step-by-step explanation:

Total number of restaurants = 29

Number of restaurants to be inspected = 4

The order of restaurants does not matter.

This is a simple selection problem to be solved.

Number of ways to select the first restaurant = 29

Number of ways to select the second restaurant = 28

Number of ways to select the third restaurant = 27

Number of ways to select the fourth restaurant = 26

So, total number of ways to select the 4 restaurants out of 29 is:

29 28 27 26 = 570024

Hence, the answer is 570024.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

22 dimes and 9 nickels

step-by-step explanation: