The length of a rectangle is 3 centimeters less than twice its width. if the perimeter of the rectangle is 18 centimeters. find its dimensions
equation: ?
length: ? width: ?

Step-by-step explanation:

Let w represent the width in cm. Then the length is 2w-3, 3 cm less than twice the width. The perimeter is twice the sum of these, so the sum of length and width is half the perimeter:

  w + (2w -3) = 18/2

  3w -3 = 9 . . . . collect terms

  3w = 12 . . . . add 3

  w = 4 . . . . divide by 3

  2w-3 = 2·4 -3 = 5 . . . . length

The equation is w + (2w -3) = 18/2; the length is 5; the width is 4.

answer: r there any options?

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: