**The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 :3: 2. The combined area of these three rooms is 189 square feet. What is the area of each room?

4 : 3 : 2

x - area unit

area of the kitchen = 4x

area of the playroom = 3x

area of the dinning room = 2x

The combined area of these three rooms is 189 ft².

Therefore we have the equation

4x + 3x + 2x = 189

9x = 189    |:9

x = 21 ft²

area of the kitchen = 4x = 4(21) = 84 ft²

area of the playroom = 3x = 3(21) = 63 ft²

area of the dinning room = 2x = 2(21) = 42 ft²

Step-by-step explanation:

4 : 3 : 2

x - area unit

area of the kitchen = 4x

area of the playroom = 3x

area of the dinning room = 2x

The combined area of these three rooms is 189 ft².

Therefore we have the equation

4x + 3x + 2x = 189

9x = 189    |:9

x = 21 ft²

area of the kitchen = 4x = 4(21) = 84 ft²

area of the playroom = 3x = 3(21) = 63 ft²

area of the dinning room = 2x = 2(21) = 42 ft²

Step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: