Naomi and hudson work at a dry cleaners ironing shirts. naomi can iron 35 shirts an hour, and hudson can iron 20 shirts an hour. naomi and hudson worked a combined 13 hours and ironed 395 shirts. write a system of equations that could be used to determine the number of hours naomi worked and the number of hours hudson worked. define the variables that you use to write the system.

Step-by-step explanation:

We are asked for the number of work hours of Naomi and Hudson. It is convenient to define the variables n and h to represent those hours, respectively. Then the system of equations is ...

  n + h = 13 . . . . . . . . . . . . total work hours

  35n +20h = 395 . . . . . . total shirts ironed

The solution is Naomi worked 9 hours; Hudson worked 4 hours.

how long did the flood last

step-by-step explanation:

then i will answer

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