How many chocolates are in the 2nd jar ?

12

Step-by-step explanation:

Let x be the number of chocolates in the first jar, then

x ← number of chocolates in second jar and

x + 90 ← number of chocolates in the third jar

The second jar also contains one half the chocolates in the third jar, thus

Equating chocolates in second jar

x = (x + 90) = x + 45

Multiply both sides by 10 to clear the fractions

8x = 5x + 450 ( subtract 5x from both sides )

3x = 450 ( divide both sides by 3 )

x = 150

and × 150 = 120

Number of chocolates in second jar = 120

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: