Three quarts of a latex enamel paint will cover about 120 square feet of wall surface. How many quarts are needed to cover 161 square feet of kitchen wall and 119 square feet of bathroom wall? Nothing quarts of a latex enamel paint are required

7 quarts

Step-by-step explanation:

We can solve this problem by using the rule of three. As seen in the picture below we need to find the X. We do this by multiplying 161 sq. ft. diagonally by 3 quarts and then dividing by 120 sq. ft. This will give us the number of quarts needed for the kitchen wall. Then we simply repeat the process for the bathroom wall and we are done. Like so ...

Therefore we need 4.025 quarts for the kitchen wall and 2.975 quarts for the bathroom wall ... making that a total of 7 quarts.

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