Martha has a ribbon that is 1 3/4 meters long. She cuts the ribbon into 3 equal-sized pieces. She uses 1 of the pieces to make gift bows. Each bow uses 7/48 of a meter of ribbon. How many gift bows does Martha make?

4 gifts

Step-by-step explanation:

We have in total have a ribbon that measures 1.75 meters, and divide that into three equal pieces, therefore:

1.75 / 3 = 0.5834

Now, we are told that we must calculate how many bows he can make, knowing that each bow is 7/48, therefore:

 0.5834 / (7/48) = 4

Which means that you can make 4 gifts since you can make 4 bows in total

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: