A 130 gallon tank initially contains 15 lbs salt dissolved in 70 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow? (Round your answer to the nearest integer.)

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A: A large tank contains 120 liters of water in which 16 grams of salt is dissolved. Brine containing…

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A: Given Data: The total amount of investment in dollars is: K=2000 dollars. The given expression to…

Q: A tank contains 3,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate…

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Q: Charles is cutting and re-sewing a plain rectangular tablecloth to fit a square table. The cloth can…

A: It is given that the rectangular tablecloth can be turned into a square by increasing the width by 3…

Q: A certain dam required approximately 850 million cubic feet of concrete. To make this number more…

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Q: A certain chemical weighs 14 pounds per gallon, what is the weight of 1/2 gallon of this chemical

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Q: a large bucket that is full of water has a small leak on the bottom. The bucket loses water at the…

A: Given ,  a large bucket that is full of water has a small leak on the bottom. The bucket loses water…

Q: Snow is falling steadily in Syracuse, NY. After 2 hours, 4 inches of snow has fallen. If it…

A: It is given that in 2 hours 4 inches of snow has fallen.

Q: A prankster puts 4 lb of soap in a fountain that contains 200 gal of water. To clean up the mess a…

A: Given:          A prankster puts 4 lb of soap in a fountain that contains 200 gal of water.…

Q: A nurse is preparing to administer magnesium sulfate 1 g/hr by continuous IV infusion to a client.…

A: We have to find how much infusion pump to be set in ml/hr

Q: Wilson can paint the walls of his room in 4 hours by himself when working at a constant rate.…

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Q: The gauge on a water tank shows that the tank is 1/3 full of water . To fill the tank 16 gallons of…

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Q: The physician orders an IV solution to infuse at the rate of 60gtt/min. The infusion set is…

A: The formula for the flow rate is Flow rate (gtt/min)=Drop factor ×Volumeminutes. The drop factor is…

Q: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.