Ms. Peterson wants to replace all the floor tiles in her kitchen. The kitchen floor is 12 feet long and 7 feet wide. If Ms. Peterson already has 45 1 ft.² tiles, how many more 1 ft.² tiles does she need to completely cover the kitchen floor?

39 tiles are needed to complete the kitchen floor.

Step-by-step explanation:

The kitchen floor is 12 feet long and 7 feet wide.

Since Ms. Peterson wants to replace all the floor tiles in her kitchen, He needs an additional number of tiles along with the already have 45 tiles to cover the entire area of kitchen.

Therefore, the entire area of kitchen must be known.

To find the area of kitchen :

The number of 1 ft² tiles already there = 45 tiles.

The number of tiles needed = total number of required 1 ft² tiles - 45 tiles.

The number of tiles needed = 84 - 45 = 39 tiles

Therefore, 39 tiles of 1 ft² are needed to complete the kitchen floor.

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