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Vinil7 [7]
3 years ago
12

QUICK!!! TAKING A TEST RN!!! 30 POINTS!!!A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a nu

mber of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?
Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

Hey there!!

Let's take 'h' as the number of hours.

The volume already present is "22" gallons.

Hence, this would become the y-intercept.

... ( 0 , 22 )

... The slope would be 26

Hence, y would be 516 and m would be 26 and x would be h.

Slope-intercept form :-

y = mx + b

( m is the slope and b is the y-intercept )

... 516 = 26h + 22

... 516 - 22 = 26h

... 494 = 26h

... h = 494 / 26

... h = 19

<em>Hence, the number of hours would be 19. </em>

Hope my answer helps!

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Since the sixth term is 1215 and the 5th term is 405, we know each term is 3 times more than the last.
Let 'n' represent the first term, then the sum of the first 9 terms can be written as:
n+3n+9n+27n+81n+243n+729n+2187n+6561n
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since each term is 3 times the last, the first term must be 405 divided by 3, 4 times in total, which is 5
Now subsitute 'n' for 5, and we get 9841(5)
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Hope this helps
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