For a summer job, you work for a pool resurfacing business. you’ve finished resurfacing the pool and it is now time to fill the empty pool with water. there are 2 water hoses that you can use to refill the pool. you wonder how long it is going to take to fill the pool because you have plans with friends and you need to leave by 6: 15 pm. you decide to time the water flow of hoses as it fills a 5 gallon bucket. the first hose can fill the bucket in 4 seconds while the second hose can fill the same in 36 seconds. the pool needs 20,000 gallons of water.

a. how long will it take fill the pool with the first hose? it is now 2pm, will you be able to leave by 6: 15pm?
b. you get the idea both hoses to fill the pool and hopefully fill up the pool faster. will using both hoses be enough to fill up the pool in time for you to leave at 6: 15pm?

a. 267 hrs b.

Step-by-step explanation:

a.)4 secs divided by 5 gals is .8 secs per gal, multiply by 20,000 gals, is 16,000 secs, divide that by 60 secs in an hour and you get 266.666 hrs

b.)42 hrs with both hoses

.8 secs per gal and 7.2 secs per gal = 8 secs per gal

20,000 = 8 gals per hour = 2500 secs  divided by 60 secs per hour = 41.66

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9