Marta has gone for a walk and has covered three quarters of the total route so far. if she still has 2 kilometres to walk, how long is the total route?

The total route is 8 kilometers.

Step-by-step explanation:

Let the distance of the total route be x

Marta has gone for a walk and has covered three quarters of the total route so far. This means that she has covered a distance of

3/4 × x = 3x/4 kilometers

she still has 2 kilometres to walk. This means that the total route or distance = the sum of the distance that she covered already and the distance she has remaining. Therefore,

x = 3x/4 + 2

x - 3x/4 = 2

(4x - 3x) / 4 = 2

Cross multiplying

4x - 3x = 4 × 2

x = 8

The total route is 8 kilometers.

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: