If a car can travel 150 miles on 10 gallons of fuel, how many gallons are required to travel 1,005 miles?

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 car that gets 15 miles per gallons of gasoline can travel 250 miles on a full tank. If the same…

A: Given: A car that gets 15 miles per gallons of gasoline can travel 250 miles on a full tank.

Q: If a tablespoon of chili powder weighs ¼ ounce, then how many tablespoons can be measured from a…

A: From the provided information, A tablespoon of chilli powder weighs = ¼ ounce 4 tablespoons of…

Q: How many ounces of pure bran flakes must be added to 50 oz of cereal thatis 40% bran flakes to…

A: Let x ounces of pure bran flakes must be added. So the total amount of the mixture is = (x+50) oz…

Q: A man who weighs 132 pounds can drink 2 1/3 pints of beer per hour and still remain legally sober.…

A:

Q: A patient is to receive 4 ounces of qid. How many ounces will the patient receive in one day?

A: "qid" means "four times a day" Now, the patient is to receive 4 ounces of qid. So, the patient will…

Q: How many items are demanded at a price of $30?

A:

Q: If a cup of water is 8 ounces and 3 water bottles hold 6 cups, how much water will Ms. Muronji drink…

A: A cup of water = 8 ounces  3 water bottles hold= 6 cups

Q: It is estimated that each guest at a party will eat 7/8 pounds of chocolates. How many guests can be…

A:

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: If 1 cup is 5% of the amount needed, what is the amount needed?

A: Let the amount needed be =x5% of the amount needed is 1 cupi.e 5% of x= 1 cup

Q: The water rate for a city in NC is $1.37 per 752 gallons of water used.  what is the water bill if…

A: GIVEN The water rate for a city in NC is $1.37 per 752 gallons of water used.

Q: A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to…

A: Given: Two types of chocolates one with 40% fat content and the other one with 60% fat content…

Q: A caterer estimates that 2 gallons of fruit punch will serve 5 people. How much additional punch is…

A:

Q: A physician tells you to give .5 gr per 5 kg of body weight to a female patient who weighs 60 kg. If…

A: Medicine available in 1 gram = 6 tablets Mean, 0.5 gram = 3 tablets 5 kg body requires = 0.5 gram 60…

Q: If skin cleaning solution is to be diluted 1 teaspoon to 64 ounces of water, how many ounces of…

A: Givenskin cleaning solution is to be diluted 1 teaspoon to 64 ounces of water.The teaspoons of skin…

Q: If a child requires 120 mL of medicine every 12 hours for exactly 30 days, and the medicine costs…

A:

Q: a certain car gets 35 miles per gallon and has a 15 gallon tank how many times would the tank have…

A: Total distance of drive = 2625 miles  Car   gets 35 miles/gallon No of gallons for total drive =…

Q: How many whole servings can be obtained from 3 gallons of mashed potatoes if a No. 12 scoop is used?

A: Consider the given information:

Q: 6. If the weight of an average passenger vehicle is 4400 pounds, how many short tons is that?

A: Pounds to tons : 1 Pound = 0.0005 tons   2000 pound = 1 tons

Q: A tree nursery sells six times as many maple trees as oak trees. If sales for the month totaled…

A: Given that a tree nursery sells six times as many maple trees as oak trees. Let us assume that…

Q: At the Da Vinci Institute, the ratio of girls to boys is 6 to 4. If 420 boys attend the school, how…

A: At the vince Institute  Girls : boys = 6:4  Let number of girls be 6x and number of boys be 4x

Q: If a scientist mixed 10% saline solution with 60% saline solution to get 25 gallons of 40% saline…

A: NOTE: Refresh your page if you can't see any equations. . x gallons of 10% solution = 0.1x y gallons…

Q: A company pays employees 55¢ per mile to drive their own cars for business trips. If you drive 176…

A:

Q: If a salad-oil blend is made using a 4:1 ratio, by volume, of vegetable oil to olive oil, how much…

A:

Q: If  1 milliliter = 1/5 teaspoon and one tablespoon = 15ml, how many teaspoons are in 3 tablespoons?…

A: Given that

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: If two billion people contribute five hundred to nine million people how much money is that

A: 2 billion = 2000000000 in count If 500 have to give to each of 9 million people . Where, 9 million =…

Q: If it takes 22 gallons of fruit punch to serve 132 guests, how many gallons of punch would be needed…

A: Consider the given information22 gallons of fruits used to serve 132 guestsSo let one guest used x…

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 many liters each of a 40% antifreeze solution and a 80% antifreeze solution must be mixed to…

A: Let x liters of 40% antifreeze solution and (8-x) liters of a 80% antifreeze solution must be mixed.…

Q: air conditioning system can circulate 380 cubic feet of air per minute. How many cubic yards of air…

A: Given query is to find the cubic yards of air circulating per minute.

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: How many ounces of 10% alcohol would need to be mixed with pure rubbing alcohol to get 16 ounces of…

A: We have to find the amount of 10% alcohol.

Q: If gasoline costs $2.399 per gallon at your local station, and you fill up your car with 11.25…

A: gasoline costs $2.399 per gallon at your local station, and you fill up your car with 11.25 gallons

Q: If a family uses 3⁢1/2 gallons of milk per week, how much milk will this family need for four days?

A: given,       a family uses 3⁢1/2 gallons of milk per week

Q: A syrup is made by dissolving 3 cups of sugar in cups of boiling water. How many cups of sugar…

A:

Q: It was recently estimated that domestic vehicles outnumber foreign vehicles by about seven to two.…

A:

Q: If a bottle holding 3 liters of milk contains 2-% butterfat, how much skimmed milk must be added to…

A: If we are to find m% of the quantity n, then we get: m100 x n=mn100

Q: How many ounces each of a 12% alcohol solution and a 30% alcohol solution must be combined to obtain…

A: A detailed solution is given below

Q: A coffee company brews coffee in 20-gallon containers. Approximately how many 12- ounce small-sized…

A: Given that coffee company brews coffee in 20 gallon containers  find how many 12 ounce small sized…

Q: How much alcohol must be added to 24 gallons of a 14% solution of alcohol in order to produce a 20%…

A: Let x gallon alcohol has to be added.  So total amount of the mixture is = (x+24) gallons   24…

Q: How many liters of a 4040% alcohol solution must be mixed with 2525 liters of a 8989% alcohol…

A:

Q: A sedan gets 12 mpg in the city and 18 mpg on the highway. If a driver drives a total of 420 mi on…

A: Let x represent the miles sedan drove in the city and y represent the miles sedan drove on the…

Q: If a scientist mixed 10% saline solution with 60% saline solution to get 25 gallons of 40% saline…

A:

Q: An engine repair cost a truck owner $1,187 in parts and labor. If the parts were $670 and the…

A:

Q: A company wishes to make the alloy brass, which is composed of 65% copper and 35% zinc. How much…

A: A company wishes to make the alloy brass. In alloy the amount of copper is 65% and the amount of…

Q: If 12 doses of 1½ml are taken from a bottle that contains 40ml , what will be the remaining…

A:

Q: A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to…

A: A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to…

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.