A 6-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze. The desired strength of the solution is 60% antifreeze. How many quarts of solution need to be drained and replaced with pure antifreeze to reach the desired strength?

Q: if you mix 10lbs of peanuts costing $1.50 per pound with cashews costing $2.50 per pound, how many…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

A:

Q: A 15-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: SOLUTION-

Q: our answer. tudent spends less than 30% of their total study

A: It is known that the hypothesis is a statement about a population which is to be claimed in the…

Q: Given an 8-inch wafer costing $2200 each, with Y, 80%, Y = 98% and die area of 4 x 4 mm², estimate…

A: Solution :-

Q: A chemist needs 130ml of a 72% solution but has only 17% and 82% solutions available. Find how many…

A: Let x ml of 17% solution and y ml of  82% solution is mixed to get 130 ml of a 72% solution which…

Q: A tank originally contains 380 litres of brine holding 450 N of dissolved salt. Eight es/min of…

A: Given: A tank contain 380 litres of brine and of dissolved salt is  450 N. And, The rate of entering…

Q: A physician orders Pitocin (oxytocin) 2 units in 1L of D5W. 7. How many units are in 100 mL of the…

A: For this problem, we know that one litre is equal to 1000mL. According to this we can calculate.

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

A:

Q: Has KNUST reached its carrying capacity given the total population on campus to be 60,000? Total…

A: Given that the carrying capacity is 700/sq km. Total estimated area=85 sq km The carrying capacity…

Q: A garden watering bucket has 3000 milliliters of water in it, but there is a hole that is leaking 18…

A: Given  bucket has water = 3000 ml every minute leaking water = 18 ml

Q: A 60 kg individual needs to work at a MET level of 8 to reach her target heart rate.  If the…

A:

Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling…

A: Let T(t) be the temperature of the bar after t time Given that T(0)=200C T(1)=220 C

Q: The population of a bacteria colony triples every hour. If the initial population is 100 what is…

A: Given  initial population of bacteria = 100 Population of a bacteria colony increases triples every…

Q: The Softflow Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of lime yogurt and…

A: Given: The softflow x quarts of lime orange and  y quarts of lime lemon, And then 2 quarts of orange…

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

A: Given:A commercial cherry grower estimates from past records that if 23trees are planted per acre,…

Q: If a city water supply has a limit of 250 ppm of nitrate ion, what is the maximum amount of nitrate…

A: Given: A city water supply has a limit of 250 ppm of nitrate ion. Find the maximum amount of nitrate…

Q: The bacteria of a culture starts with 200 bacteria and triples in size every half hour. After 2…

A:

Q: A chemist needs 60 milliliters of a solution that is 45% acid but has only 35% and 65% solutions…

A: Consider the needed amount is 60 ml of the 45% of the solution and the available amount is 35% and…

Q: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

A: Given: 25 trees are planted per acre, each tree will yield an average of 39 pounds of cherries per…

Q: containing 5% salt and another containing 20% salt. How many milliliters of each solution should she…

A: Given the query is to find the percentage of each type of solution to make 14% salt solution.

Q: A chemist needs 130 milliliters of a 72% solution but has only 17% and 82% solutions available. Find…

A: Given:- A chemist needs 130 milliliters of a 72% solution but has only 17% and 82% solutions…

Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: If the Earth's average climate warms by 1.7°C in the next 50 years, how many degrees on average will…

A: Earth warms by 1.7 c in next 50 years

Q: A child is prescribed amoxicillin (35mg/kg/day) to be given 3 times per day. If he weighs 22 pounds,…

A: See the detailed solution below.

Q: Two machines are turned on at 8:00 A.M. If one can produce 74 items each hour and the other can…

A: Two machines are turned on at 8:00 A.M. If one can produce 74 items each hour and the other can…

Q: A small metal bar with initial temperature was 20°C, is dropped into a large container of water with…

A: Here we create a differential equation based on given information. Then solve that equation.

Q: If it takes 1.5 hours for 5 workers to carpet 5 rooms in a newly built large motel, where all rooms…

A:

Q: (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any…

Q: A certain pollutant has a concentration of 120 part per million (ppm)  in large tank. A filtration…

A:

Q: The population of Northern Cascadia is 750 more than twice that of Eastern Cascadia. If the combined…

A: Given, The population of Northern Cascadia is 750 more than twice that of Eastern Cascadia.…

Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a)

A:

Q: Expand cach eypEssion as much as possible. As. e) lagafex 18x 4 B.

A: We have to expand the given function using log rules.

Q: A gumbo recipe calls for 4 quarts of cooked rice and yields 80 servings, 6 ounces each. If the…

A:

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

A: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

Q: A 21-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given: A 21-quart cooling system is checked and found to be filled with a solution that is 40%…

Q: A certain substance can cool itself from 103°C to 70°C in 15minutes. If the air’s temperature is…

A:

Q: A steel ball is heated to 120°C and then immersed in a vat of water kept at a constant temperature…

A:

Q: A hospital worker combined 2 fluidounces of a povidone-iodine cleaner, 7.5% w/v, with 4 fluidounces…

A: A hospital worker combined 2 fluidounces (7.5% w/v) of  a povidone-iodine cleaner with 4…

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: Two machines are turned on at 8:00 A.M. If one can produce 36 items each hour and the other can…

A:

Q: What quantity of 80 per cent acid solution must be mixed with a 30 per cent solution to produce 150…

A: SOLUTION-

Q: 2. How many kilograms of powdered detergent must be added to a rinsing solution containing 20% of…

A: To determine how many kilograms of powdered detergent must be  added to a rinsing solution…

Q: If atom has 12 positively - charged protons and 12 negatively charged electrons, what is its total…

A: See the solution in the given fig.

Q: A foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and the rest…

A: Given, a foundation invests $70,000 at simple interest, a part at 7%, twice that amount at 4%, and…

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

A:

Q: It is convenient to add salt to butter, produced in a continuous butter-making machine, by adding a…

A: Given: Initially the mixture contains 60% salt and 40% water. After adding a slurry of salt water…

Q: Two resistors are wired in parallel, one of which is 100 ohms. If the total resistance is supposed…

A: The value of the second resistor needs to be 400 ohms.

Q: A manufacturer has 600 litres of a 12% solution of acid. How many litresof a 30% acid solution must…

A: Let x litres of 30% acid solution must be added So the total amount of the solution= 600+x litres…

Q: A chemist needs 130 milliliters of a 57% solution but has only 33% and 85% solutions available. Find…

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.