Arectangular swimming pool has a volume capacity of 2160 cubic feet. water is being added to the pool at a rate of about 20 cubic feet per minute. determine about how long it will take to fill the pool completely if there were already about  1200 gallons  of water in the pool.

Step-by-step explanation:

y=mx+b

2160=20x+60.417)

2160= 20x+160.417

2160-160.417=20x+160.417-160.417

1999.583=20x

1999.583/20=20x/20

x= 99.98 min

so, converting firstly the mixed fractions to improper fractions and then "adding".

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)