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Answer:
59070
Step-by-step explanation:
Answer:
It takes the printer 20 minutes to print a banner
Step-by-step explanation:
Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.
So we can write the following two equations involving the total amount of time that takes to print in the two cases:

We can solve for the unknown "p" by subtracting term by term in the equation set above:

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

So, it takes 20 minutes to print a banner.
Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by
in grams, is governed by the differential equation,

which is linear. Move the
term to the right side, then multiply both sides by
:


Integrate both sides, then solve for
:


Since the tank starts with 5 g of salt at time
, we have


The time it takes for the tank to hold 20 g of salt is
such that

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