A cyclist rides her bike at a speed of 36 kilometers per hour. What is the speed in meters per second?How many meters will the cyclist travel in 15 seconds?

Results are below.

Step-by-step explanation:

Giving the following information:

Speed= 36km per hour

We konw the following proportions:

1km= 1,000 meters

1 hour= 3,600 seconds

Meter per hour= 1,000*36= 36,000 meters

Meter per second= 36,000/3,600= 10 meters per second

Now, for 15 seconds:

Distance= 15*10= 150 meters

3/6   and 9/18

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