Atrain leaves a station at 10: 40 a. m. and arrives at its destination at 1: 20 p. m. find the distance between the stations if the average speed of the train was 60 mph.

160 miles.

Step-by-step explanation:

A train leaves a station at 10 : 40 a.m.

and arrives at its destination at 1 : 20 p.m.  = 13 : 20 p.m.

Now we will subtract the time of departure to calculate the total time taken by the train.

 13 : 20

- 10 : 40

  2 : 40       Train took 2 hours 40 minutes to reach its destination.

Now we will convert 2 hours 40 minutes to decimal form.

2 hours and (40/60) = 2.66 minutes

If the average speed of the train was 60 miles per hour.

Since in one hour train traveled 60 miles

Therefore, in 2.66 hours train traveled = 60 × 2.66

                                                                 = 159.6 ≈ 160 miles

The distance would be 160 miles.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

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".