A chemical manufacturer wants to lease a fleet of 22 railroad tank cars with a combined carrying capacity of 414,000 gallons. Tank cars with three different carrying capacities are​ available: 9,000 ​gallons, 18,000 ​gallons, and 36,000 gallons. Letting t = number of 36,000 railroad tank cars in the​ fleet, 2t -2 9,000 gallon railroad tank​ cars, and -3t+24 18,000-gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing 9,000​-gallon tank car is ​$250 per​ month, 18,000​-gallon tank car is ​$750 per​ month, and a 36,000​-gallon tank car is ​$1350 per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leading cost

Q: There are 12 tables and 4 booths in the family restaurant. Each table seats 4 people. If the…

A:

Q: 4 thumb drives and 1 compact disk have a total capacity of 18 gigabytes. 3 compact disks and 4 thumb…

A: We will solve the following

Q: A group of college students are going to a lake house for the weekend and plan on renting small cars…

A: Let the number of small car be x the number of large cars be y A total of 5 cars is rented,…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 27 pieces. How many different…

A: Given problem is from selection method of combination where order doesn't matter .  It's formula is…

Q: A hound was chasing a fox. Whenever the hound took 4 leaps, the fox took 5. If 3 hound leaps cover…

A: It is given, when the hound takes 4 leaps, fox takes 5 leaps.Obviously, when hound takes 1 leap, fox…

Q: A pianist plans to play 3 pieces at a recital from her repertoire of 25 pieces. How many different…

A: As per given by the question, a pianist plans to play 3 pieces at a recital from her repertoire of…

Q: A company produces 128000 cases of soft drink annualy. It costs 1 dollar to store 1 case for 1 year…

A: Topic = Algebra

Q: pianist plans to play 4 pieces at a recital from her repertoire of 26 pieces. How many different…

A: given data, A pianist plans to play 4 pieces at a recital from her repertoire of 26 pieceswe have to…

Q: Montgomery College has a 60-piece band and a 38-piece orchestra. If 15 people are members of both…

A: Let A denotes the set of members of band and B denotes the set of members of Orchestra. Given the…

Q: A dining hall had a total of 25 tables, some long rectangular tables and some round ones.  Long…

A: x = 20 y = 5

Q: A 12-ton mixture consists of one-sixth sand, two-sixths gravel, and one-half cement. If x tons of…

A:

Q: Can 243 passengers be assigned to 3 flights so each flight has the same number of passengers?

A:

Q: 10 Jesse has three one-gallon containers. The first one has of a gallon of juice, the second has 13…

A:

Q: Ronny owns a rice field in Baguio. He hired tractors to plough his field. He hired 8 tractors who…

A:

Q: 9 University of Texas at Austin has three times as many students enrolled as University of Miami.…

A: Given that University of Texas at Austin has three times as many students enrolled as university of…

Q: a teacher received 3 boxes of calculatoea. there were 8 calculators in each box. The teacher gave…

A:

Q: Three-fourths of Mrs. Hoffman's fifth-grade students are boys. To make the number of boys and girls…

A: Let the number of students in Hoffman's class be x Number of boys = (3/4)x Number of girls = (1/4)x…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: A baker had four 50-pound bags of sugar. She used 68 and 1 out of 2 pounds of sugar to bake cakes,…

A:

Q: If Sammy has 24 candy bars and Jaycob has 4 more than Sammy how many candy bars does jaycob have

A:

Q: 4=2v-14

A: The given equation is,

Q: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

A: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

Q: Bobby's Bike shack order tires each week for its two-wheel and three-wheel bikes. They order tires…

A: Given:Total bikes (2-wheeler and 3-wheeler) = 47 bikesTotal number of tires = 122 tires

Q: A chemistry student wishes to produce 120 liters of 55% sugar solution using certain numbe rof 30%…

A:

Q: Travis's carpet has an area of 180 square feet. He hires the CarpetPro carpet cleaning service,…

A: Given: Carpet area is 180 square feet. Cleaned carpet area after 1 min is 9 square feet.

Q: eeds to write a report of the ratio of type- a blood donated to tpye-o blood donated, but she lost…

A: In this question, the concept of ratio is applied. Ratio The ratio is a comparison between two…