Plz the distance between the cities atlanta and indianapolis is 540 miles. a motorcycle's speed is 48 mph. for a car it takes 2.25 hours less to cover same distance than for the motorcycle. how long does it take them to meet, if they start moving towards each other simultaneously?

5 hours

Step-by-step explanation:

Given: The distance between the cities Atlanta and Indianapolis=540 miles

The speed of motorcycle= 48 mph

Since,

Thus, time taken by car to travel the distance= 11.25-2.25= 9 hours

Let t be the time at which they will meet if they are moving towards each other  simultaneously.

Then Distance covered by Motorcycle+Distance covers by car= 540 miles

Thus they will meet in 5 hours, after which time the motorcycle will have traveled

and the car will have traveled

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

£56

step-by-step explanation: