In an election, there were only two candidates for the post of president. The winning candidate got 53% of the total votes. His opponent got 31000 votes which represented 31% of the total votes. Find (a) the number of votes and (b) the winning margin.

(a)100,000

(b)53,000

Step-by-step explanation:

(a)

Let the total votes be x.

Given 31% of x=31000

So,total votes are =100,000

_________________________________

(b)

Winning margin =53000−31000=22000.

=

Therefore, the Winning margin is 22000.

_______________________________

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: