Derek’s family is planning a trip to Asia. If they want to visit each of the cities listed in the table at the right, in how many different orders can they do so? Beijing, Shanghai, Taipei, Tokyo

The can do so in 24 different orders.

Step-by-step explanation:

The number of arranjments of n elements, that is, in how many orders can n elements be organied is:

In this problem, we have:

4 cities, which means that n = 4. So

The can do so in 24 different orders.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!