Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. the swimming pool initially contained 45,000 gallons of water. a chemical additive must be added to the pool when it has no more than 15,000 gallons of water remaining in the pool.

1. write an equation for the amount of water remaining in the pool after h-hours.
2. write an equation that could be solved to find the least number of hours before the chemical could be added.
3. will it take longer than 2 days before the check am can be added? justify your response.

1.

2. 15000 = 45000 -780h

3. Less than 2 days.

Step-by-step explanation:

1. If h is the number of hours that the water is drained out for then at the rate of 780 gallons per hour total of 780h gallons of water will be drained out. If there were 45000 gallons of water initially in the swimming pool, then the equation for the amount of water remaining in the pool after h hours will be given by  

....... (1) (Answer)

2. Given that when there are no more than 15000 gallons of water remaining in the pool a chemical additive must be added in the water.

Therefore, from equation (1), we have  

15000 = 45000 -780h ........(2) (Answer)

3. Solving equation (2), we get h = 38.46 hours < 2 days i.e 48 hours.

So, it will not take longer than 2 days before the chemical can be added. (Answer)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.