Suppose that 16 inches of wire costs 64 cents. At the same rate, how many inches of wire can be bought for 44 cents?

11 inches of wire

Step-by-step explanation:

Suppose that 16 inches of wire costs 64 cents. At the same rate, how many inches of wire can be bought for 44 cents?

From the above question:

64 cents = 16 inches of wire

44 cents = x

Cross Multiply

64 cents × x = 16 Inches × 44 cents

x = 16 inches × 44 cents/64 cents

x = 704/ 64

x = 11 inches

Therefore, 11 inches of wire can be bought for 44 cents

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: