At a furniture manufacturer, worker a can assemble a shelving unit in 5 hours. worker b can assemble the same shelving unit in 3 hours. which equation can be used to find t, the time it takes for worker a and worker b to assemble a shelving unit together?

We can use equation to solve for t.

Worker A and worker B takes t = 1.875 hours to assemble a shelving unit together.

Step-by-step explanation:

We have to find the equation that can be used to find t, the time it takes for worker A and worker B to assemble a shelving unit together.

So, Worker A and Worker B works at the rate of shelving unit per hour.

Given:  worker A can assemble a shelving unit in 5 hours.  

So, worker A works at a rate of   Hours to assemble a shelving

Also, given: Worker B can assemble the same shelving unit in 3 hours.

So, worker B works at a rate of   Hours to assemble a shelving.

Thus, equation becomes,

Solving we get,

LCM(3,5) = 15

Solve for t , we get,

Thus, worker A and worker B takes t = 1.875 hours to assemble a shelving unit together.

Thus, We can use equation to solve for t.

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) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: