A moving Company charges $445 plus $22 per hour. A second company charges $490 plus $19 per hour.

At how many hours will the charges from both companies be the same?

After a certain amount of hours, the two companies will have the same amount of total charges. What is the amount of that charge?

it will take 15 hours and the amount of charge would be $775

Step-by-step explanation:

Let x represent the number of hours after which, the two companies will have the same amount of total charges.

A moving Company charges $445 plus $22 per hour. It means that the total amount that this company would charge for x hours is

22x + 445

A second company charges $490 plus $19 per hour. It means that the total amount that the second company would charge for x hours is

19x + 490

For the total amount charged by both companies to be the same, the number of hours would be

22x + 445 = 19x + 490

22x - 19x = 490 - 445

3x = 45

x = 45/3

x = 15 hours

The amount of that charge is

19 × 15 + 490

= 285 + 490

= $775

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet