Weekly Question:In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

Answer:

-20

Step-by-step explanation:

(r + b − g)(b + g)

we have fom statement:

r = 9    

b = 5

g= −6

so we have:

(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))

(r + b − g)(b + g)= (14+6)*(-1)

(r + b − g)(b + g)= -20

18 inches=  1 1/2 feet= 1.5 feet

18 inches = 1.5 feet

(1) Now we make a proportion to find feet for given inches

1.5 * 36 = 18*x

54 = 18 x (Divide by 18 on both sides)

x = 3

3 feet long is a 36 inch board

(2) 72 inch board

1.5 * 72 = 18*x

108 = 18 x (Divide by 18 on both sides)

x = 6

6 feet long is a 72 inch board

(3) 144 inch board

1.5 * 144 = 18*x

216 = 18 x (Divide by 18 on both sides)

x = 12

12 feet long is a 144 inch board

A 36-inch board would be 3 feet long, a 72-inch board would be 6 feet long, and a 144-inch board would be 12 feet long.

We have,

If 18 inches is equal to 1 1/2 feet, we can use this conversion factor to find the equivalent length in feet for different measurements.

For a 36-inch board:

We know that 18 inches is equal to 1 1/2 feet.

Therefore, 36 inches would be twice that length, which is 3 feet.

For a 72-inch board:

Again, using the conversion factor, we know that 18 inches is equal to 1 1/2 feet.

Therefore, 72 inches would be four times that length, which is 6 feet.

For a 144-inch board:

Using the same conversion factor, we can see that 18 inches is equal to 1 1/2 feet.

Therefore, 144 inches would be eight times that length, which is 12 feet.

Thus,

A 36-inch board would be 3 feet long, a 72-inch board would be 6 feet long, and a 144-inch board would be 12 feet long.

Learn more about unitconversion here:

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Answer:  The required cost in dollars per kg of tomatoes is $10 per kg.

Step-by-step explanation:  Given that Amy bought 0.4 kg of tomatoes for $4.00.

We are to find the cost in dollars per kg of tomatoes.

We will be using the UNITARY method to solve the given problem.

The cost of 0.4 kg of tomatoes = $4.00.

Therefore, the cost of 1 kg of tomatoes is given by

Thus, the required cost in dollars per kg of tomatoes is $10 per kg.

Answer:

B is the right choice

Hope This Helps!  Have A Nice Day!!