A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?

9514 1404 393

  16.05 cm

Step-by-step explanation:

Each bracelet will be 1/5 of 1/2 of the chain, so is

  (1/5)(1/2) = 1/10

of the original length of the chain.

  1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

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: