It takes 6 hours and 30 minutes for a train traveling from washington dc to arrive in boston massachusetts. if the two stations are 455 mile apart write and solve an equation to find the average speed of the train in miles per hour.

70 miles per hour

Step-by-step explanation:

To find the miles per hour you must set up an equation and put the total miles traveled over how long it took to cover that distance.

455 miles/ 6 and a half (6.5) hours

From there, you can simply divide.

455/6.5 = 70

Thus, you get 70 miles an hour.

You can check this by multiplying 70 by 6.5 to get 455.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be