The bacteria in an 11-liter container double every 2 minutes. After 50 minutes the container is full. How long did it take to fill a quarter of the container?

Q: Consider an iron blast furnace process. If 1200 kg of coke is used for every 1000 kg of iron ore,…

A: It is the example of direct proportion .  1200 kg of coke is used for every 1000 kg Therefore for 1…

Q: A total of $12000 was invested, part of it at 9% and the rest at 7.5%. Thetotal interest after one…

A: Let $x was invested at 9% and $(12000-x) was invested in 7.5% So interest earned from 9% is = 9% of…

Q: How many ounces of pure water must be added to 50 oz of a 15% salinesolution to make a saline…

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Q: that

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Q: Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5…

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Q: A machine takes 1 minute to fill 6 cartons of eggs. At this rate, how many minutes will it take to…

A: Let the machine take x minutes to fill the 420 cartons of eggs. So the rate of the filling cartons…

Q: A total of $27000 is invested, part of it at 12% and the rest at 13%. Thetotal interest after one…

A: Let $x was invested in 12% so (27000-x) was invested in 13% After one year interest from 12% account…

Q: how many gallons of 5% acid solution must be mixed with 5 gallons of 10% acid solution in order to…

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Q: The number of bacteria doubles each day. How many bacteria will a sample have after 13 days if it…

A: We have to find how many bacteria will a sample have after 13 days if it starts with 40 bacteria.

Q: A total of $6000 is invested, part of it at 4.25% and the rest at 5.75%. Thetotal interest after one…

A: Let $x was invested in 4.25% and (6000-x) in 5.75%  So the total interest earned is: 4.25% of x +…

Q: The dosage of a cold medication is 2 mg for every 60 lb of body weight. How many milligrams of this…

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Q: A snail is at the bottom of 10-meter well. Each day it crawls up 3 meters, but at night, it slips…

A: The snail crawls up 3 meters at day, but slips down 2 meters at night. So gradually, everyday it is…

Q: You are taking an 800-mg dose of an antibiotic every 8 hours. Your body eliminates 50% of the drug…

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Q: Akiko built 33 models every 44 hours. At this rate, how many would she built in 16 hours?

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Q: How many average candy bars would you have to eat to ­supply the energy needed for 8 hours of…

A: Consider the given statement. Known fact: 1 candy bar supplies 1×106 Joules and one hour of running…

Q: The number of bacteria triples each day. How many bacteria will a sample have after ten days if it…

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Q: A recipe calls for 2 teaspoons of sugar for every 3 cups of flour. How much sugar will be needed for…

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Q: A printer prints 75 pages in 5 minutes. At the samerate, how many pages does the printer print in 7…

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Q: How many minutes did it take the faster runner to finish the 8 mile run?

A: Let the distance be 8 mile, Pepe averaged a speed of 1/2 mile in 4.5 minutes where Paula averaged…

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 squirrel starts the winter with a full supply of food stored. If, cach week, the squirrel eats 12%…

A: A squirrel starts the winter with a full supply of food stored.every week, the squirrel eats 12% of…

Q: If two cats eat a kilogram of cat food in 4 days, how long will it take for 5 cats to eat 25kg of…

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Q: A 510 mL IV bag contains a 30% dextrose solution. How much of the original solution must be replaced…

A: Given that a 510 mL bag contains a 30% dextrose solution. The original solution is replaced with a…

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

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Q: How many milligrams of medication is required for a 71kg patient if the dosage is 10 mg for every…

A: Given information The dosage is 10 mg for every 10 kg. We have to find the number of milligrams of…

Q: How many calories per day does a person who weighs 80 kilograms (approximately 176 pounds) need to…

A: Given, A person weighs 80 kilograms. To find how many calories per day a person needs: The function…

Q: A certain population of bacteria doubles in 2yrs. If in 3yrs there are 45,790 of bacteria present,…

A: A certain population of bacteria doubles in 2 years. Let Pt be the population of bacteria at any…

Q: How much water must be evaporated from 17 qt of a 45% antifreeze solution to produce an 85%…

A: Given,       Water must be evaporated from 17 qt of a 45% antifreeze solution to produce an 85%…

Q: What amount of pure acid must be added to 400mL of a 40% acid solution to produce 75% acid solution?

A: Let x mL has to be added

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A: Here the bacteria culture initially contains 3000 bacteria and doubles every half hour.We have to…

Q: How much of pure (100%) orange juice must be added to 35 gallons of a 21% orange juice solution to…

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Q: A biologist has two brine solutions, one containing 10% salt and another containing 70% salt. How…

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Q: A bakery increased their weekly sales of loaf bread by 20%.They now sell 240 of loaves.How many did…

A: Percentage is ratio which is expressed as a fraction of 100. The symbol % is used to denoted…

Q: The​ half-life of caffeine in a​ person's bloodstream is about 6 hours. If a​ person's bloodstream…

A: The formula for half-life:

Q: If Ben invests $3500 at 4% interest per year, how much additional money must he invest at 5% annual…

A: Let x be additional money invested. Use the appropriate formula of simple interest each year equal…

Q: How many cups of pure water should be mixed with 6.5 cups of a 30% acid solution to dilute it into a…

A: Given    6.5 cups of 30% acid solution to dilute it ito a 2% acid solution.

Q: How many liters of pure water should be mixed with a 4​-L solution of 60​% acid to produce a mixture…

A: Let x be a liter of water to add to produce a solution that is 80% water Therefore, 40%4=401004=1.6…

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 company produces boxes that are 5 feet long, 4 feet wide, and 3 feet high. The company wants to…

A: Let the increased amount is x feet. So new dimensions are (5+x) feet , (4+x) feet , (3+x) feet

Q: A water hose had filled up of a pool after this rate, how many hours would it take to fill the pool?…

A: Given that  1/7 pool is to be filled in 1/10 hour To find total hours to fill the pool

Q: If it takes 10 people 10 days to dig a hole, how long will it take 5 people to dig half a hole?

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Q: How much pure alcohol must be added to 750 mL of a solution that is 40% alcohol to make a solution…

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Q: How much water must be evaporated from 240 mL of a 10% salt solution to produce a 25% salt solution?

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Q: Aman invested $20,000 in the bank. Apart of it was invested at 5% and the rest at 10%. The total…

A: total amount invested $20,000 and consider the time is 1 years for which the money is invested  Let…

Q: A machine can peel 3 kg of potatoes in 5 minutes. At this rate, how many kilograms of potatoes can 4…

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Q: In an animal sanctuary, it takes 44 kg of meat per year to feed 4 dogs. How many kg of annual meat…

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Q: An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system…

A: Given that an adult takes 400 mg of ibuprofen and each hour, the amount of ibuprofen in the person's…

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

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Q: A laboratory has a solution that contains 9 ounces of benzalkonium chloride. If this is 15% of the…

A: Given that, a solution contains 9 ounces of benzalkonium chloride.Find the total solution, if given…

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.