Suppose a total of 15 ounces of medicine is added to the original mixture (so that the total volume is now 25 ounces with 18 ounces of medicine and 7 ounces of water). How much water must now be added so that the mixture has the same proportion of medicine and water as the original mixture?

Q: If the height of a cone is multiplied by 5, how will this affect its volume   5 times greater…

A: As Volume of a cone is given as  V1 =13πr2h1 If height of the cone is multiplied by 5  h2=5h1 Then…

Q: Suppose that you drive 50,000 miles per year and gas averages $4 per gallon. Complete parts a. and…

A:

Q: How many ounces of pure zinc must be alloyed with 30 ounces of brass that is 30% zinc and 70% copper…

A:

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: How many quarts of pure alcohol should be added to 10 quarts of 10% alcohol solution to obtain a…

A: Solving the problem by finding the value of pure alcohol.

Q: Suppose a certain company sells regular keyboards for $83 and wireless keyboards for $110. Last week…

A: The selling price of regular keyboards is $83 and the selling price of wireless keyboards is $110…

Q: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By what percent is…

A: To Determine: If the base of a rectangle is decreased by 21% and altitude is increased by 18%, By…

Q: A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of…

A: Let x,y,z be the number of trucks of different types 10-foot, 14-foot and 24-foot respectively.…

Q: . How many liters of 5% alcohol solution and 9% alcohol solution must be mixed to obtain 200 liters…

A: Let x and y be the quantity of 5% alcohol solution and 9% alcohol solution respectively.By using the…

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

A:

Q: Due to the worsened economy, merchants in downtown Hollywood cannot afford to replace their outdoor…

A: Given that , Light bulbs burn out every month = 13% Outside store lights = 1 million = 1000000

Q: A container of yogurt has 130 calories per serving. If there are 5 servings in the container, and…

A:

Q: week, The Men's Shop sold twice as many short-sleeved tee shirts at $25 each as long-sleeved tee…

A: Given query is to find number of each type of shirt sold

Q: Two trains leave two different cities 1,029 miles apart and head directlytoward each other on…

A: Let it will take x hours for them to pass.  The first train has speed= 45 miles per hour.  So in x…

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical…

A:

Q: 1 liter of paint that costs 200.00 pesos can cover 13.33 square meters, exactly how much will be…

A: This question can be solved using the concept of units and measurement.

Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: In an election contested between A and B, A obtained votes equal to twice the number of persons on…

A: Given:In an election contested between A and B, A obtained votes equal to twice the number of…

Q: The sum of two consecutive odd integers is −112. What is the largerinteger?

A:

Q: The capacity of an elevator is either 20 children or 15 adults. If 12 children are currently in the…

A: Given:The capacity of an elevator is either 20 children or 15 adults.Let c = children and a =…

Q: 1 kg of cashews cost GHS 100 and 1 kg of walnuts cost GHS 120. If a mixture of cashews and walnuts…

A: Given Information - Cost of 1 kg of cashews = GHS 100 Cost of 1 kg of walnuts =  GHS 120 Cost of 1…

Q: If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many…

A:

Q: A hybrid car was driving 300 mi and used 6 gal of gasoline. At the same rate of consumption how far…

A: Given- A hybrid car was driving 300 mi and used 6 gal of gasoline.  To Find- The distance travelled…

Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: The manager of bulk foods establishment sells a trail mix for $8 per pound and premium cashews for…

A:

Q: When doctors prescribe medicine, they must consider how much the drug's effectiveness will descrease…

A: exponential decay can be represent as below : where, N0=initial calue = 250 mgr= decay factor =…

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

A:

Q: How many pounds of lean hamburger that is 7% fat must be mixed with 12 pounds of ground chuck that…

A: 12 pounds of ground chuck having 20% fat is mixed with lean hamburger that is 7% fat

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: How many ounces of a 32% alcohol solution and a 38% alcohol solution must be combined to obtain 87…

A: We will use method of allegation.

Q: Suppose that 20 gallons of a 20% salt solution must be mixed with 30 gallons of a 25% salt solution.…

A:

Q: how many liters of a 20% acid solution must be mixed with 15 liters of a 60% solution to create 40…

A:

Q: A 12 ft board is to be cut into three​ pieces, two​ equal-length ones and the third 9 in. shorter…

A: 1 ft = 12 inches   Let “x” be the length of two equal parts and the third is 9 inches shorter then…

Q: A laboratory assistant wants to make 10 liters of 40% acid solution. If solutions of 50% and 25% are…

A: Given: 50% and 25% solution of acid are available in the laboratory We have to make 40% acid…

Q: A grocery store offers a cheese and fruit sampler that combines cheddar cheese that costs $8 per…

A:

Q: An elevator can accomodate a maximum weight of 2000 lb. If four passengers on the elevator have an…

A:

Q: a besiege fortress is held by 5700 men who have provision for 66 days. if the garrison losses 20 men…

A:

Q: A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each…

A: Definition used -          Remaining sample = Total sample - used sample

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical…

A: Let P be the revenue from digital sales of pop, T  be the revenue from digital sales of tropical and…

Q: A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the…

A: Let the distance travelled by first car be x miles and distance travelled by second car be equal to…

Q: How many kilograms of soil supplement that costs $7.00 per kilogram must be mixed with 20 kg of…

A:

Q: How many gallons of gasoline that is 12% ethanol must be added to 2,000 gallons of gasoline with no…

A: Let x be the amount of gallons of gasoline to be added.From given statement, it is observed that the…

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: 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: A truck moving continuously, averages 52.5 mph for 6.75 hr. how far does it travel during this time?

A:

Q: A mixture solution is made up of 10% solution and 15% solution. If the final mixture is 20 liters…

A: Let 10% solution quantity in final mixture be: x Let 15% solution quantity in final mixture be: y…

Q: A chemist has two large containers of sulfuric acid solution, with different concentrations of acid…

A: solution:-

Q: The Ace Freight Company has an order for two products to be delivered to two stores of a company.…

A: Let company take x units of product I and y units of product II then…

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 truck carries a load of 93 boxes; some weigh 35 kg and the rest weigh 45 kg.If the total weight of…

A: