Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 and a cherry-flavored syrup that is to be added to hide the taste of the drug. How much of each must be used to prepare 100 milliliters of solution with a drug concentration of 2 ?

Q: A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar.…

A: Let x ml vinegar and (310-x)ml Italian dressing should be mixed.  The total amount of vinegar in the…

Q: John wants to make 100 ml of a 5% alcohol solution by mixing a 2% alcohol solution with a 7% alcohol…

A:

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: How many vials of Lantus will you dispense for a 30 day supply if a patient injects 65 units…

A: It is given that patient injects 65 units and 10ml/vial=100 units/ml

Q: The Cook family and the Edwards family each used their sprinklers last summer. The water output rate…

A:

Q: he feed on a lathe is set for 1/128 inch. How many revolutions does the work make when the tool…

A: the feed on the lathe is set for 1128inch to find the number of  revolutions when the tool advances…

Q: A chemist needs 50 milliliters of a 42% solution but has only 32% and 57% solutions available. Find…

A: Given - A chemist needs 50 milliliters of a 42% solution but has only 32% and 57% solutions…

Q: The King family and the Wilson family each used their sprinklers last summer. The King family's…

A: We will solve the following

Q: you have 6,128 grams of a radioactive kind of indium. If it's half life is 2 hours, how much will be…

A: We can use exponential decay function to solve the problem

Q: A recipe for cupcakes yields 1 1/2 dozen cupcakes. By how much should the ingredients be multiplied…

A:

Q: A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into…

A: This question is related to differrential equations, We will solve it using given information.

Q: A bottle contains 700mL of fruit juice with a concentration of 50% pure fruit juice. Jill drinks…

A: Let x be the concentration in the punch that Jill added.The concentration of pure fruit juice after…

Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

A:

Q: A solution of ethyl alcohol that is 75% alcohol by weight is to be used as a bactericide. The…

A: Consider the provided information, Let x is grams of water and y is grams of 95% ethyl alcohol. So,…

Q: The first shift of GME Corporation produced 3 1/5 times as many lanterns as the second shift GME…

A: The first shift of GME Corporation produced   3 1/5 times as many lanterns as the second shift GME…

Q: A vintner fortifies wine that contains 10% alcohol by adding a 70% alcohol solution to it. The…

A: The Final mixture is 1000 liters which is 16 x alcohol so, It contain 0.16 multiply 1000 = that is…

Q: A patient needs 1mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A:

Q: A hose fills 2/8 of a pool in 3/6 of an hour. At this rate, how much of the pool will these hose…

A: given that  A hose fills 2/8 of a pool in 3/6 of an hour. Clearly 1/4 of a pool filled in 1/2 hour…

Q: A bottle contains 400 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks…

A: A bottle contains 400 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks…

Q: A cold metal bar at −30◦C is submerged in a pool maintained at a temperature of 40◦C. Half a minute…

A:

Q: "enus has a mass of approximately 4.9 x 104 kg. The approximate mass of Mercury is 3.3 x 1023 kg.…

A: mass of Venus is m1=4.9×1024 mass of Mercury is m2=3.3×1023 now find the difference

Q: A recipe yields 60 servings (4 oz), and you want to adjust it to yield 75 servings (5 oz). One of…

A: In these types of problems first we need to find the conversion factor.

Q: In stock is a two liter of a solution that is 60% alcohol and water. How many cc's of pure alcohol…

A: Considering p % of some quantity q , we will get: p100x q=pq100

Q: The Morgan family and the Kim family each used their sprinklers last summer. The water output rate…

A: Let x and y be the number of hours sprinklers used by Morgan family and Kim family respectively.…

Q: A bread recipe requires 2 1/4 cups of warm water. If you make 3 batches of bread, how much water is…

A:

Q: The Simmons family and the Wood family each used their sprinklers last summer. The water output rate…

A: A is the time  Simmons family's used sprinkler B is the time  Wood family's used sprinklerFamilies…

Q: How many liters of a 40% acid mixture and how many liters of a 10% acid mixture should be mixed to…

A: Let x liters of 40% acid mixture be needed and y liters of 10% acid mixture be needed. This gives

Q: A vat contains 4000 litres of wine with an alcohol content of 10%. How much of this wine must be…

A: Let x litres of wine be  removed and is replaced by a wine with an alcohol content of 17%. Then,…

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: 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 manufacturer of prefabricated homes has the company's employees work in teams. Team 1 can erect…

A: This problem is of time and work concept. Given that there are two teams 1 and 2. Team 1 takes 60 h…

Q: A chemist needs to stengthen a 25% solution with a 60% solution to obtain a 30% solution. How much…

A: A chemist needs to strengthen a 25% solution with a 60% solution to obtain a 30% solution.  300 be…

Q: Sol Lushen, a chemistry student, has two solutions, solution A and solution B.  Solution A contains…

A: Let the amount of solution A be x  And the amount of solution B be y.

Q: A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop…

A: Given: The special eye drops for a glaucoma patient = 15 ml. The eye-drop solution content is 2%…

Q: You need a 70% alcohol solution. On hand, you have a 240 mL of a 35% alcohol mixture. How much pure…

A: Given that need a 70% alcohol solution and have a 240 ml of a 35% alcohol mixture. Find how much…

Q: A chef plans to mix 100%  vinegar with Italian dressing. The Italian dressing contains 8% vinegar.…

A: Substitution method: - The substitution technique is a straightforward approach for solving linear…

Q: The design of a voltmeter requires that the resistance R2 be 10 ohms greater than the resistance R1,…

A:

Q: How many quarts of pure antifreeze must be added to 3 quarts of 10% antifreeze soulotion to obtain a…

A:

Q: A long distance call costs x cents for the first minute and y cents for eachadditional minute. How…

A: Given that the first minute costs = x cents

Q: Keiko needs 100mL of a 5% acid solution for a science experiment. She has available a 1% solution…

A:

Q: How many  gallons of a plant food that  is 9% nitrogen must be  combined with smother plant  food…

A: Let x gallons of a plant food that  is 9% nitrogen must be  combined with smother plant  food that…

Q: A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 5% vinegar.…

A: Given:The Italian dressing contains 5% vinegar.Let x ml be the amount of 100%  vinegar and  y ml be…

Q: One antifreeze solution is 26% alcohol and another is 20% alcohol. How much of each mixture should…

A:

Q: If 75 ml of water fills of another cylinder shaped like the one shown, how many milliliters of water…

A: 3/4 cylinder shaped container fills by 75 ml water To find milliliters of water will 2/5 of the…

Q: A chemist has two alloys, one of which is 5% gold and 10% lead and the other which is 20% gold and…

A: Given,          A chemist has two alloys, one of which is 5% gold and 10% lead and the other which…

Q: In term of concentration of Hydrogen Ions,  How many times more times acidic is a glass of Orange…

A:

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,00…

A: Given information: The capacity of the farm is 20,000 crocodiles. The initial release is 5000…

Q: How much water should be added to sixteen milliliters of ten percent alcohol solution to reduce the…

A: Let x be the amount of water to be added.The quantity of mixture is 16 ml.The mixture contains 10%…

Q: How many milliliters of a  3.2%  bleach solution must be mixed with a  20%  bleach solution to…

A:

Q: What quantity of a 70% acid solution must be mixed with a 40% solution to produce 150 mL of a 60%…

A: Given.