If a 121 -mile hike took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 13 gallons?

Q: A grocery store sells two brands of sauerkraut. Brand X sells for ​$4.89 per jar while the​ No-Name…

A: Let, the number of branded jars is x, and the number of the non-name brand jars is y. Given, Price…

Q: In a jar of 33 coins, consisting of only pennies and nickels, there are one half as many nickels as…

A: Given a jar of 33 coins, consisting of only pennies and nickels and there are one half as many…

Q: How many liters of a 60% acid solution must be added to 14 liters of a 10% acid solution to produce…

A: Given Let

Q: If your car gets 30 miles per gallon, how much does it cost to drive 320 miles when gasoline costs…

A: Given Car gets 30 miles per gallon Gasoline costs=

Q: A firm reduced the size of its workforce by 24%. If it now employs 570 workers, how many people did…

A: Let the initial number of employees in the firm be x. Now, the firm reduced its work force by 24%.…

Q: In 10 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can…

A: A conveyor belt can move 1000 bushels of corn in 10 minutes.  A smaller belt can move 1000 bushels…

Q: How many liters of 40% acid solution must be mixed with 10 liters of a 65% acid solution to get a…

A: Given Let Then according to problem

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

A:

Q: A dairy farmer wants to mix a 40% protein supplement and a standard 20% protein ration to make 1000…

A: This question can be solved using the concept of system of linear equation.

Q: If a garden snail can travel one mile in 33 hours, how manydays will it take for such a snail to…

A: If a garden snail can travel one mile in 33 hours then timeT taken to travel 6 miles will be…

Q: If a car is traveling at 43.0 miles per hour, contains 3 gallons of gas, and gets 22.5 miles per…

A: Solution Given, the car is having 3 gallon of gas in it. The milege of the car is given as 22.5…

Q: one -fourth pound of fertilizer covers 25 square feet of ground, how much fertilizer (in pounds ) is…

A: It is given that25 square feet of ground is covered by = 14 pound

Q: If your car gets 28 miles per​ gallon, how much does it cost to drive 390 miles when gasoline costs…

A: Given: Car gets 28 miles per gallon Gasoline costs = 3.40 Cost of 390 = ?

Q: A certain lawn mower uses 5 tanks of gas to cut 18 acres of lawn. How many acres could be cut using…

A: The lawn mower uses 5 tanks of gas to cut 18 acres of lawn. So, The lawn mower uses 12 tanks of gas…

Q: If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the same…

A:

Q: If 1t of watermelons consist of 94% of water, how much weight the same number of watermelons when…

A: Given problem is : If 1t of watermelons consist of 94% of water, how much weight the same number of…

Q: If it takes 27 gallons of fruit punch to serve 135 guests, how many gallons of punch would be needed…

A: 27  gallons of fruits used to serve 135 guests Let one guest used x gallons of fruits 135 guests…

Q: How much of an alloy that is 30% copper should be mixed with 600 ounces of an alloy that is 60%…

A: Let x ounces of 30% copper be mixed with 600 ounces of an alloy that is 60% copper in order to get…

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: On average the number of microphones sold in New York each year is equivalent to six times the…

A: The given data is: On average the number of microphones sold in New York each year is equivalent to…

Q: A train covers 96 km in one hour, how much distance will it cover in 45 minutes?

A: Given: A train covers a distance of 96 km in one hour.

Q: If 8 workers can finish a job in 14 hours, how many workers will it take to finish the same job in 6…

A:

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: If it takes 4 men 6 hours to landscape a recreation area, how many hours will it take 3 men to…

A:

Q: If someone worked one job at $10 an hour and another job at $12 an hour and made $480 in one week,…

A: Let, the number of hours the person worked at first job = x hours and the number of hours the person…

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 much of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to…

A: To be found : Amount of a 90% orange juice drink must be mixed with 12 gallons of a 40% orange juice…

Q: A candy-wrapping robot can wrap 434 pieces of candy in 5 minutes. How many pieces of candy can it…

A: Determine the number of pieces of candy can it wrap in any number of minutes.   The number of pieces…

Q: If 2 people can knit a total of 10 socks per hour, how many socks can five people knit in an 8 hour…

A: Find the number of socks produced by five people in 8 hours

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: The salaries of the President and Vice-President were a total of $576,300 a year. If the President…

A: We have to find salary of vice president

Q: If 20 bakers can bake 40 cakes in 8 hrs, how many bakers can bake 10 cakes in 2 hours?

A:

Q: If there are 2.2 pounds in 1 kilogram, how many pounds are there in x kilograms?

A:

Q: A chemistry students added certain number of liters of 30% salt solution to 150 liters of 8% salt…

A: We need to calculate the volume of 30% salt solution that was added to 150 liters of 8% salt…

Q: A new police cruiser can drive 120 miles on the freeway on 8 gallons of gas. If a full tank is 30…

A: Given, A new police cruiser can drive 120 miles on the freeway on 8 gallons of gas ∴ On 1 gallon of…

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

A:

Q: A 20-pound bag of Economy brand cement mix contains 25% cement and 75% sand. How much pure cement…

A: 20-pound bag of Economy brand =25% cement and 75% sand

Q: a driver drove 50 miles in 50 minutes. How many miles per hour was he driving?

A: We have to find miles per hour

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

A: Given that a family uses 31/2 gallons of milk per week.

Q: How many liters of a 40% alcohol solution must be mixed with 25 liters of a 89% alcohol solution to…

A:

Q: Six ounces of ground beef are needed to make one hamburger. If one package of ground beef contains…

A:

Q: A square garden has an area of 81, how many much fencing is needed to surround the square garden?

A:

Q: How much of an alloy that is 20 % copper should be mixed with 100 ounces of an alloy that is 70 %…

A: Let x ounces of 20 % copper should be mixed  So the total amount of mixture is =(x+100) ounces

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

A:

Q: How many gallons of 24% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to…

A:

Q: How much of an alloy that is 30 % copper should be mixed with 600 ounces of an alloy that is 80 %…

A:

Q: 3. If 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh? The…

A:

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.