It took a plane 3 hours to travel 2100 miles with a tail wind. it took the plane 7 hours to make the return trip against the wind. how fast was the plane traveling? and how strong was the wind blowing?

the speed of the plane is 300 miles per hour

The strength of the tail wind is 400 miles per hour

Step-by-step explanation:

A tail wind travels in the direction of the airplane. It took the plane 3 hours to travel 2100 miles with a tail wind.

Speed = distance / time

The speed of the airplane while travelling with the tail wind is

2100/3 = 700 miles per hour.

It took the plane 7 hours to make the return trip against the wind. This means that the plane travelled the same distance of 2100 miles back in 7 hours.

The speed of the plane while travelling back would be

2100/7 = 300 miles per hour

The speed of the wind would be

the speed while it was flying with the tail wind - the speed when it was flying against the tail wind . it becomes

700-300 = 400 miles per hour

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:

a

step-by-step explanation: