The town swimming pool is d feet deep. the width of the pool is 5 feet greater than 5 times its depth. the length of the pool is 50 feet greater than 5 times its depth. enter a simplified expression to represent the volume of the pool.

Step-by-step explanation:

If the pool has a rectangular shape then its volume can be written as:

V = Width * Length * Depth

Let's call:

w = width

l = length

d = depth.

So we know from the statement of the problem that:

             (5 feet more than 5 times the depth)

             (50 feet more than 5 times the depth)

Then, the volume can be written according to the depth as:

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

38 was the other number of your question.