A16\dfrac1216 2 1 ? kilometer stretch of road needs repairs. workers can repair 2\dfrac142 4 1 ? kilometer of road per week. how many weeks will it take to repair this stretch of road?

weeks.

Step-by-step explanation:    

We have been given that a km stretch of road needs repairs. Workers can repair kilometer of road per week.

To find the number of weeks it will take to repair the stretch we will divide by

Upon converting our mixed fractions into improper fractions we will get,

Dividing a fraction with another fraction is same as multiplying the 1st fraction with the reciprocal of second fraction.

Therefore, it will take weeks to repair the stretch of the road.

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: