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Aleks04 [339]
3 years ago
13

Water flows from a container at a rate of 2.5 litres per minute . The water flows into a tank that already holds 50 litres. How

long in seconds is it before there are 765 litres in the tank.
Pls answer it with workings out. Thanks
Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
Y = 2.5x + 50.....with y being the total liters in the tank and x being the number of seconds

when total liters is 765....so sub in 765 for y and solve for x
765 = 2.5x + 50
765 - 50 = 2.5x
715 = 2.5x
715 / 2.5 = x
286 = x <==== so it would take 286 seconds 

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a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13

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a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2

So, the equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

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