3000 gallons of oil are to be transported to a destination 1000 miles away. The only delivery truck available has a load capacity of 1000 gallons max. Additionally the truck consumes 1 gallon per mile from its load. What is the maximum gallons of oil that can reach the destination when taking into account the truck consumption?

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

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A: According to question,Length is 15 inches greater than depth and the sum of length, width and depth…

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A: Let x and y be the dimension of the rectangular playpen. Given

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A: According to the question, Let x is the width of a the book page. Area given=216 square inches, Area…

Q: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,800 feet of fencing…

A: This question is related to application of derivative.

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A: Let the width of the rectangular cardboard be ‘a’.According to the question, the length is 10 inches…

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A:

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A: Given: The total area of the two fields is 1800 square yards. Rate at which one field produces grain…

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A: Given, Elevator can hold maximum weight of about   212 tons  Average adult weight of 139 pounds  We…

Q: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

A: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

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A: Let the length of the vertical strips along the tow sides is x inches. Then the length of the base…

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A: We need to find  the stake be placed to use the least amount of wire?

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A: Question- A farm has 510 cherry trees each of which produces on the average 50 baskets of cherries.…

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A:

Q: The 800-room Mega Motel chain is filled to capacity when the room charge is $50 per night. For each…

A:

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

A: Given query is to find the dimensions of the aquarium for least amount of surface area.

Q: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

A:

Q: An animal shelter has 160 feet of fencing to enclose two adjacent rectangular playpenareas for dogs.…

A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

Q: The annual yield per cherry tree is fairly constant at 50 pounds per tree when the number of trees…

A: We have to find how many cherry trees should be planted per acre to maximize the annual yeild for…

Q: The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what…

A: *As per the guidelines, only the first question answered. Please repost the remaining questions…

Q: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by…

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: A company has $56320 to spend on the development and promotion of a new product. The company…

A:

Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

A: Given: 25 trees are planted per acre, each tree will yield an average of 39 pounds of cherries per…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: A rectangular rice field is to be fenced along 4 sides and, in the middle, to divide it into two…

A:

Q: A car rental agency rents 210 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

A: Solution:-Step:1      For each one dollar  increases, 5 fewer  car  are rented.   If 'x'  is added…

Q: A commercial cherry grower estimates from past records that if 15 trees are planted per acre, then…

A: Let, x additional trees have to be planted.  So the total number of trees= (15+x) New average yield=…

Q: Find the dimensions of the rectangle that'll give the max rectangle area, of perimeter of entire…

A: The perimeter of the entire figure is 12 feet.

Q: A fluid ounce is about 30 mL (milliliters) and one liter is equal to 10-3 m3 (cubic meters). What is…

A: Given, 1fl-oz = 30 mL 1L = 10-3 m3

Q: A Moderately active 140 pound person will use 2100 cal per day to maintain that body weight how many…

A: Given that a Moderately active 140-pound person will use 2100 cal per day to maintain that…

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate,…

A: Let x be the number of $1 increases in the rate. From the given information, the total number of…

Q: A​ 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the given statement, the person uses 5.7 calories per minute at the speed of 4 mph.

Q: The Perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square…

A: Let the length = x Width= y So, perimeter= 2(x+y)=20  x+y=10 y=10-x

Q: a car rental agency rents 200 cars per day at the rate of $40 per day. For each $1 increase in rate,…

A: The double derivative test is used to optimize (maximize or minimize) a function. Follow the steps…

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

A:

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6800 ft. What are its dimensions? s…

A: Given: A rectangular garden whose length is 5 feet more than its width. The area of the garden is…

Q: A hotel with 136 rooms is filled to capacity when the room charge is $90 per night. For each $3…

A:

Q: What is the maximum area that can be completed with 240 feet of fencing? What are the dimensions?

A:

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: An oilfield contains 8 wells that produce a total of 2,400 barrels of oil per day. For each…

A:

Q: A length of wire that is 160 cm long is cut into two pieces: one to form an equilateral triangle and…

A: We will use Second derivative test to find the maximum and minimum area And first derivative to find…

Q: A 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the provided information, Time taken by 150 pound person to use 5.2 calories = 1min.

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

A: Solution is written in below steps.

Q: A real estate office handles a 40-unit apartment complex. When the rent is $540 per month, all units…

A: Number of units of apartment = 40 Let x be the number of units vacant when the price increase to $25…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Consider the given information.