Jean is making bar graphs for a representation. she is planning for the length and width of the bars to have a ratio of 3: 2, so that they satisfy this equation. 2l = 3w if one of the bars is 7 centimeters wide, what should be it's length. find and explain how you found the solution to this answer. a.21 cm b. 14 cm c. 10 1/2 cm d. 4 2/3 cm explain how you found the answer.

C.

Step-by-step explanation:

Given: The ratio of length to width = 3:2,such that the equation she formed is

2l=3w

The width of bar w= 7 cm

Then substitute this value in the equation and solve , we get

Hence the length of the bar =

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

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