Mix some of the $5.50 per pound with 100 pounds of $6.25 per pound to get a $6 per pound mix

x lbs * 5.5 + 100 lbs * 6.25 = (x+100) * 6.00

distribute

5.5x + 625 = 6x+600

subtract 5.5 x from each side

625 = .5x +600

subtract 600 from each side

25 = .5x

divide each side by .5

x = 100

You need 100 pounds of the 5.50 mix

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:

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without