On a map, 3 inches represent an actual distance of 42 miles. if the actual distance between two cities is 322 miles, how many inches apart will the two cities be on the map ?

Two cities are 23 inches apart on the map

Step-by-step explanation:

on a map, 3 inches represent an actual distance of 42 miles.

the actual distance between two cities is 322 miles

Let x be the inches apart on the map

Lets make a proportion

Cross multiply and solve for x

Divide both sides by 42

x= 23

Two cities are 23 inches apart on the map

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?