At 3:30 PM, Berto‘s train was 34 miles past the egg farm, traveling in an average speed of 85 mph. At the same time on a nearby track, Edwardos waters train was traveling at an average speed of 110 mph and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up?

1.84 hours

Step-by-step explanation:

Let our egg farm be position 0 miles.

Since Berto's train is at 34 miles away from the egg farm at 3:30 PM and moves at an average speed of 85 mph, and his distance is increasing by 85t in time, t. So, his distance, d from the egg farm at time, t is d = 34 + 85t.

Also, Edwardos waters train is approaching the egg farm and is a distance of 12 miles from the egg farm moving at an average speed of 110 mph towards the egg farm, and his distance is increasing by 110t in time, t. So, his distance d' from the egg farm at time, t is d' = -12 + 110t. There is a negative in front of the 12 since it is a position before the egg farm

Now, when the trains meet, their distances are equal. So,

d = d'

34 + 85t = -12 + 110t

collecting like terms, we have

34 + 12 = 110t - 85t

46 = 25t

t = 1.84 h

So, the trains will meet after 1.84 hours

the answer is c hope it

step-by-step explanation:

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