5. a raffle prize of 14x^2 /15 dollars is to be divided among 7x people. write an expression for the amount of money that each person will receive

Given that the raffle prize is to be divided equally, the amount of money each person will receive will be equal to the total raffle prize (14x^(2)/15) divided by the number of people (7x). Thus, we get:

(14x^(2)/15) / 7x

= (14x^(2)/15) * (1/7x)

= 14x^(2)/15*7x

= 14x^(2)/105x

= 2x/15 (Divide both the numerator and denominator by 7x)

Therefor, each person would receive 2x/15 dollars.

If you know how to cancel when dealing with fractions, you can get to this step much easier, however this way also works. The idea with cancelling would be that when you had (14x^(2)/15) / 7x, you would recognise that 14x^2 may be divided by 7x straight away to get 2x. Then you would have 2x/15 as your answer.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: