Acompany dyes two sizes of rugs. a small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. the dyers need to make at least 15 rugs, and they must do it in less than 60 hours. let x equal small rugs and y equal medium rugs. which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation? (5 points) 2x + 3y < 60 3x + 2y < 60 2x + 3y > 60 3x + 2y > 60

Option (1) is correct.

2x + 3y < 60  inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.

Step-by-step explanation:

 Given : A company dyes two sizes of rugs A and B.

A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours.

we have to find an  inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.

The dyers need to make at least 15 rugs.

Let x equal small rugs and

y equal medium rugs

This can be represented by the equation x + y ≥ 15

Also,  The small rug requires 2 hours for dyeing and the medium-size rug requires 3 hours for dyeing and they must do it in less than 60 hours

Then to dye x small rugs the time taken is 2x

and  to dye y medium rugs the time taken is 3y

and total time given to  dye is less than 60 hours

This can be represented by the equation 2x + 3y < 60

Thus, Option (1) is correct.

2x + 3y < 60  inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

my guess is

step-by-step explanation: