Gregg manages a small cleaning business. He has 18 employees. The cleaners get paid $14.00per hour. The cleaning supervisors get paid $19.00 per hour. His budget has set aside a payroll expense of $282.00 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ? Gregg employed
nothing cleaners and
nothing supervisors.

Gregg employed 12 cleaners and 6 cleaning supervisors.

Step-by-step explanation:

Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:

c + s = 18

14c + 19s = 282

Solve by substitution by solving for c in the first equation:

c + s = 18

c = 18 - s

Then, plug in 18 - s as c into the second equation:

14c + 19s = 282

14(18 - s) + 19s = 282

Solve for s:

252 - 14s + 19s = 282

252 + 5s = 282

5s = 30

s = 6

Then, plug in 6 as s into the first equation:

c + s = 18

c + 6 = 18

c = 12

So, Gregg employed 12 cleaners and 6 cleaning supervisors.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: