A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 504,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased? Let x₁ be the number of cars with a 6,000 gallon capacity, x2 be the number of cars with a 12,000 gallon capacity, and x3 be the number of cars with a 24,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.

An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows:             Container         A          B          C             Cost ($ each)     4          6          7             Capacity (cu in) 200       400      600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?

Shelia and Allison ate lunch at a pizza buffet. Shelia ate three slices of mushroom pizza and seven slices of supreme pizza for a total of 3470 calories. Allison ate four slices of mushroom pizza and five slices of supreme pizza for a total of 2980 calories. Assuming the pizza slices are exactly the same size, how many calories are in a slice of this mushroom pizza? 300 calories O 350 calories O 450 calories O 270 calories O 380 calories

A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. O A. The unique solution is x₁ = X₂ , and x3 = (Simplify your answers.) O B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = (Simplify your answers. Type integers or simplified fractions.) O C. There is no solution. t+( x₂ = t+ and x3 = t for sts

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…

an artist makes three types of ceramic statues( large, medium and small) at monthly cost of $880 for 250 statues. the manufacturing costs for the three types are $5,$4,$3. if the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $4,240 in monthly revenue Large ? Medium ? Small ?

A trucker drove 144 miles to make a delivery and returned home on the same route. Because of foggy conditions, his average speed on the return trip was 25 mph less than his average speed going. If the return trip took 4 hours longer, how fast did he drive in each direction? going: ___ mph returning: ___mph