You can buy a skateboard for$11.00 from a friend and rent the safety equipment for $2.30 per hour or you can rent all items you need for $3.30 per hour. for how many hours will the cost be the same ?

it will take 11 hours for the costs to be the same

Step-by-step explanation:

Let x represent the number of hours it will take for the costs to be the same when you use either options

Let y represent the cost of taking option one for x hours.

Let z represent the cost of taking option one for x hours.

For option one, you can buy a skateboard for $11.00 from a friend and rent the safety equipment for $2.30 per hour. This means that the cost of x hours would be

y = 2.3x + 11

For option 2, you can rent all items you need for $3.30 per hour. This means that the cost of x hours would be

z = 3.3x

To determine the number of hours it will take for the costs to be the same, we will equate y to z. It becomes

2.3x + 11 = 3.3x

3.3x - 2.3x = 11

x = 11

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:

include a picture of the drawing in order for me to

step-by-step explanation: