It took 3 people 2 1/2 hours to paint a large room. how long would it take 5 people to paint a similar room? write the expression represented by this problem and then show all of your steps to arrive at the final answer.

it will take 5 people 1.5 hours

Step-by-step explanation:

It took 3 people 2 1/2 hours to paint a large room. Changing from mixed fraction to improper fraction, 2 1/2 hours will be 5/2 hours. Therefore,

It took 3 people 5/2 hours to paint a large room.

For 5 people to paint a similar room, it will take them lesser time. Thi s is an inverse variation. Therefore, the number of people is varies inversely

with the time it takes them to paint the room.

Let number of people be p and time it takes be t

p varies inversely with t.

Introducing constant of variation, k, it becomes

p = k/t

If 3 people take 5/2 hours, then

3 = k/(5/2)

k = 3 × 5/2 = 7.5

Our expression becomes

p = 7.5/t

The time it will take 5 people will be

p = 5 so,

5 = 7.5/t

t = 7.5/5 = 1.5 hours

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

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.