You want to make bouquets of balloons. You choose 6 and 50 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the balloons? Estimate how much you will earn if you sell each bouquet for $4.97.

2 ; $9.94

Step-by-step explanation:

Given that:

Balloons chosen : 6 and 50

Greatest possible number of bouquet that can be made using all balloons

To find this ; obtain the greatest common factor of 6 and 50

Factors of 6 : 1, 2, 3, 6

Factors of 50 : 1, 2, 5, 10, 25, 50

.the greatest factor common in both is 2.

Greatest possible number of bouquet using all balloons = 2

If each bouquet sells for $4.97

Earning = 2 * $4.97

Earning = $9.94

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