Rami is sketching drawings for his friends. He creates 5 sketches each hour. Write a ratio, in lowest terms, that compares the number of sketches rami makes to the amount of time, in minutes.

  1 : 12 . . . . sketches : minutes

Step-by-step explanation:

We know 1 hour is 60 minutes, so the given numbers can be written as ...

  5 sketches : 60 minutes

and reduced by dividing by 5 to get the ratio ...

  sketches : minutes = 1 : 12

answer: for each 3 girls there is 2 boys . 3: 2

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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