A 100-gallon tank contains 50 gallons of water. Brine, containing 2 Ibs of salt per gallon, flows into the tank at the rate of 2 gallons per minute, and the mixture, kept uniform by stirring, runs out at the rate of 1 gallon per minute. approximate the amount of salt in kilogram present when the tank is three-fourths full of brine solution.

Q: How many liters of each 20% (v/v) alcohol and 80% (v/v) alcohol must be mixed to yield 20 liters of…

A: We are given two percentages of alcohol that are 20% and 80%. We have to produce 20 liters of 50%…

Q: Elena has a washing machine with a 20 gallon capacity. She always uses a 20 gram measure of soap for…

A: Let x(t) be the amount of a substance at time t. The concentration of the substance can be modeled…

Q: A tank with a capacity of 5000 kg of water is initially half full. Twenty kilogram per minute is…

A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

A:

Q: How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that…

A:

Q: A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

Q: It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm…

A: An ant farm takes 3 days to consume ½ of an apple. → An ant farm consume ½ of an apple in 3 days

Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: Given: The amount of water at 3:56 PM is 10452 L and amount of water at 4:12 PM on same day  is 8092…

Q: A tank initially holds 80 gallons of brine solution containing 1/8 Lb of salt per gallon. At t = 0,…

A:

Q: Many areas of Northern California depend on the snowpack of the Sierra Nevada mountain range for…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Tank A contains 274 litres of brine holding 123 N of dissolved salt, and tank B contains 274 litres…

A:

Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

A: Given: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly…

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency…

A:

Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…

A: The initial amount of the sugar in the water is x (0) = 50 kg   The pure water is entering into the…

Q: A clinical laboratory technician determines that a minimum of 75 mL of working reagent is needed for…

A: Given, reagent =75mL Mixture = 4x75 =300mL

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: a one cup serving of fat free skim milk contains 8 fluid ounces, that one cup of milk also provides…

A: As it is mentioned in the question that the milk is fat free skim milk So the content of fat is…

Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: A man rows up a stream 4 ½ hours and finds that it requires only 2 ½ hours down the stream. If he…

A: To find: The rate of current. Given: A person rows up a stream 412 hours and 212 hours to down the…

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

A:

Q: A tank contains 200 gallon of salt water with 150 lbs of dissolved salt. Salt water with 5 lbs of…

A:

Q: A bunch of hooligans dump 164 pounds of  pizza boxes into a lake. If the pizza boxes dissipates at a…

A:

Q: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

Q: A 2 lbs of salt was dissolved completely into 100 gallons of pure water. After an hour, a brine…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…

Q: A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: Form the differential equation of first order and solve to get the answer.

Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

A:

Q: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

A:

Q: A 100-gallon tank contains 5O gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Ans =38

Q: A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons…

A: Let yt be the amount of chocolate syrup in the tank at time t.  The rate of change of the amount of…

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

A:

Q: How much water should be evaporated from 40% v/v alcohol in order to prepare 3000 ml of 60% ( v/v)…

A:

Q: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…

A: Given :- The total capacity of tank = 100 L Initially amount of fresh water in a tank = 15 L Saline…

Q: A 120-gallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brinemcontaining…

A: Let xt be the amount of salt in tank at time t.  The amount of salt in is given by salt in=10 The…

Q: As a water tank is being raised, water spills out at a constant rate of 2 ft³ per foot of rise. If…

A:

Q: A vessel with 500 gallons of beer contains 4% alcohol (by volume). Beer with 7% alcohol is pumped…

A:

Q: A 25-liter gas cylinder contains 80% oxygen and 20%   helium. If helium is added at a rate of 0.2…

A: The volume of cylinder =25 litre The percentage of oxygen in the cylinder initially=80% The amount…

Q: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient…

A: Given that: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr…

Q: Consider a reservoir with a volume of 8 billion cubic feet (ft³) and an initial pollutant…

A: Given: Volume of the reservoir is 8 billion cubic feet, V=8×109 ft3 Now initial polutant V is,…

Q: 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A:

Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

A:

Q: The number of germs in a certain culture increases at a rate proportional to the number present. If…

A:

Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

A:

Q: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

A: Given: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

Q: Elena has a washing machine with a 20 gallon capacity. She always uses a 20 gram measure of soap for…

A: To determine the time taken to correct the error of adding extra soap to the water, we have to…

Q: A 50-gallon tank initially contains 10 gallons of fresh water. At t= 0, a brine solution containing…

A: We will find out the required time.

Q: A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been…

A: given: Capacity of tank = 300 gallon Amount of sugar = 8 pounds Rate of pouring of water = 20…