Mark tossed 6 balls while playing a number games. three balls landed in one section, and 3 balls landed in another section. his score is greater than one hundred thousand. what could his score be?

3x + 3y > 100,000 → 3(x + y) > 100,000 → x + y > 100,000 ÷ 3

His score has to be a multiple of 3 in order to have a whole number

100,000 ÷ 3 = 33,333 .33

100,001 ÷ 3 = 33,333.66

100,002 ÷ 3 = 33,334 (the first multiple of 3 greater than 100,000)

His score could be 100,002 or 100,002 + 3n; where n is a whole number

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: