The number of hours needed to paint a house, h, varies inversely with the number of painters, n. Four painters need 6 hours to paint a house. How many hours would it take 3 painters to paint the house?

It would take 3 painters, a total number of 8 hours, to paint the house

Step-by-step explanation:

Let the number of hours be denoted by N, and the number of painters be denoted by P. The inverse relationship can be expressed as:

N α

Removing the proportionality symbol (α), introduces a constant of proportionality, which can be assumed to be C, in this example.

So, N =

When N = 6, P = 4

6 =

C = 24

So that, N = . This is the formula to use for determination of the other variable when one of them is known.

Now, given 3 painters, the number of hours needed can be obtained as follows:

N = = 8 hours

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.