Samantha wants to hang 3 paintings in her room. The widths of the paintings are 10+*inches, 3+*feet, and 2 feet, 2),inches. If she hangs them next to each other with 3 inches between them, what is the total width of the wall space she will need?

78 inches

Step-by-step explanation:

From the above question, our final answer is in inches, hence:

1 foot = 12 inches

The widths of the paintings are 10+*inches, 3+*feet, and 2 feet, 2),inches.

For painting 2

Converting 3 feet to inches

1 foot = 12 inches

3 feet = x

Cross Multiply

x = 3 × 12 inches = 36 inches

For painting 3

2 feet, 2,inches.

Converting 2 feet to inches

1 foot = 12 inches

2 feet = x

Cross Multiply

x = 2 × 12 inches = 24 inches

Adding up = 24 inches + 2 inches = 26 inches

If she hangs them next to each other with 3 inches between them, what is the total width of the wall space she will need?

This is calculated as:

10 inches + 3 inches + 36 inches + 3 inches + 26 inches

= 78 inches

Therefore, the total width of space she will need = 78 inches

maybe showing the graph would

step-by-step explanation:

-387129 iq

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