Rob filled 3 fewer plastic boxes with football cards than basketball cards. he filled 9 boxes with basketball cards. how many boxes did he fill with football cards? how many football cards were in each box?

This is an incomplete question, here is a complete question.

Rob has 96 football cards. Rob filled 3 fewer plastic boxes with football cards than basketball cards. He filled 9 boxes with basketball cards. How many boxes did he fill with football cards? How many football cards were in each box?

Answer :

Number of boxes filled with basketball cards are, 6

Number of football cards in each box were, 16

Step-by-step explanation :

As we are given that:

Total number of football cards = 96

Number of boxes filled with basketball cards = 9

Now we have to calculate the number of boxes filled with basketball cards.

As we are given that Rob filled 3 fewer plastic boxes with football cards than basketball cards.

So,

Number of boxes filled with basketball cards = 9 - 3 = 6

Now we have to calculate the number football cards were in each box.

Number of football cards were in each box =

Number of football cards were in each box = 16

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

the answer is 99.