Consider the points A, B, and C. A company wishes to run a utility cable from point A to point B. Point A lies 9 miles directly east of point C along a straight shoreline. Point B is located on an island 6 miles directly north of point C. It costs $400 per mile to run the cable on land and $500 per mile underwater. Assume that the cable starts at point A and runs along the shoreline, then angles and runs underwater to the island. Find the distance from point A at which the cable line should begin to run underwater in order to yield the minimum total cost.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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:

its kinda hard to answer this when we dont have all the information that we need.