Darcy and leah are looking at some fabric selections in a store. all of the selections are marked the same price, and the amount, in yards, of each fabric is written as an improper fraction. which amount is the greatest? a. 43⁄5 b. 33⁄4 c. 78⁄9 d. 22⁄3

We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.

Option A:  = 8.6

Option B: = 8.25

Option C: = 8.6667

Option D: = 7.33....

Hence, the longest fabric is the one given in option C, and its length is 8.6667

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form