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.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3