Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 125 pounds of salt are dissolved in the solution in tank A and 25 pounds of salt are dissolved in the solution in tank B. The system is closed in that the well-stirred liquid is pumpedonly between the tanks, as shown in the figure below.mixture3 gal/minA100 galB100 galmixture2 gal/min(a) Use the information given in the figure to construct a mathematical model for the number of pounds of salt x₁(t) and x(t) at time t in tanks A and B, respectively.dx₁atdx₂dtx₁(0)=x-(0)lbslbs(b) Find a relationship between the variables x,(t) and x(t) that holds at time t. (Write an equation using x, for x,() and x, for x₂(1).)Explain why this relationship makes intuitive sense.Since the system is closed, salt enters the system at a constant rate.Since the system is closed, no salt enters or leaves the system.Since the system is closed, salt is not exchanged between the two tanks.Since the system is closed, salt leaves the system at a constant rate.Since the system is closed, salt enters and leaves the system at the same rate.Use this relationship to help find the amount of salt in tank B at £35 min. (Round your answer to one decimal place.)x2(35) -=lbs

between the tanks, as shown in the figure below. mixture 3 gal/min with 200 yar A 100 gal B 100 gal mixture 2 gal/min Use the information given in the figure to construct a mathematical model for the number of pounds of salt x(t) and x(t) at time t in tanks A and B, respectively. dx, at - x₁(0) = x-(0) - lbs lbs Find a relationship between the variables x, (2) and x,(2) that holds al lime . (Write an equation using x, for x, (2) and x, for x-(l).) Explain why this relationship makes intuitive sense. Since the system is closed, salt enters the system at a constant rate. Since the system is closed, no salt enters or leaves the system. Since the system is closed, salt is not exchanged between the two tanks. Since the system is closed, salt leaves the system at a constant rate. Since the system is closed, salt enters and leaves the system at the same rate. Use this relationship to help find the amount of salt in tank B at (-35 min. (Round your answer to one decimal place.)

between the tanks, as shown in the figure below. mixture 3 gal/min with 200 yar A 100 gal B 100 gal mixture 2 gal/min Use the information given in the figure to construct a mathematical model for the number of pounds of salt x(t) and x(t) at time t in tanks A and B, respectively. dx, at - x₁(0) = x-(0) - lbs lbs Find a relationship between the variables x, (2) and x,(2) that holds al lime . (Write an equation using x, for x, (2) and x, for x-(l).) Explain why this relationship makes intuitive sense. Since the system is closed, salt enters the system at a constant rate. Since the system is closed, no salt enters or leaves the system. Since the system is closed, salt is not exchanged between the two tanks. Since the system is closed, salt leaves the system at a constant rate. Since the system is closed, salt enters and leaves the system at the same rate. Use this relationship to help find the amount of salt in tank B at (-35 min. (Round your answer to one decimal place.)

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter5: Decimals

Section5.6: Ratios And Rate

Problem 484E: A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63...

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