Ralph has a new rectangular back yard. The area of the back yard is 32 feet. The Length of the rectangle is 2 times the Width. Find the perimeter of the rectangular back yard.

  24 feet

Step-by-step explanation:

Let w represent the width of the rectangle. Then its length is 2w, and its area is ...

  A = Lw

  32 = (2w)(w) = 2w^2 . . . fill in the given values

  16 = w^2 . . . . . . . . . . . . divide by 2

  4 = w . . . . . . . . . . . . . . take the square root

  8 = 2w = L . . . . . . . . . find the length

The dimensions of the yard are 8 feet long and 4 feet wide.

__

The perimeter is ...

  P = 2(L +w) = 2(8 +4) = 2(12) = 24 . . . . feet

The perimeter of the rectangular back yard is 24 feet.

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5