15. A manufacturer makes both volleyballs and baske requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 %3D

15. A manufacturer makes both volleyballs and baske requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A fruit grower can use two types of fertilizer in his orange grove, brand A or brand B. The amounts…

A: Let x represents the bags of brand A and y represents the bags of brand B. Objective Function: It is…

Q: PAWS Pet Resort is building a new rectangular kennel with length L and width W. If the PAWS owners…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Solve the following system of equations: (1) 4x-2y+z= 8 (2) (3) -y+z=4 2z = 4

A: (1) 4x-2y+z=8(2) -y+z=4(3) 2z=4

Q: 2. Solve the system: in F11. 2x + 5y x + 3y = = 1 9

Q: In a chess match a win of 1 game counts 1 point, a draw counts as 1/2 point and a loss as 0. after…

A: We have given a chess game Number of matches = 14 Win of 1 game = 1 point Draw of 1 game = 1/2 = 0.5…

Q: .Jeremy bought x pounds of peanuts for $4.50 per pound and y pounds of cashews for $7.05 per pound…

Q: Which variable would it be easiest equations? * 9х + у %3D 14 5х + 7y 3D 11 The x in the top…

A: We need to isolate y This is more easy

Q: Mike invested $7,500 total in two bank accounts. Once account paid 4% interest and the other account…

A: As it is given that x represent the amount invested in the 4% account and y represent the amount…

Q: 3) Ethan and Tyler start a business together. They sell headgear and singlets. Ethan sells 3…

Q: 31. 130 cans of paint were purchased, some containing Type A paint and some containing Type B. If 5…

Q: Solve the following system of equations. 4 2x -. 1 1 3*-y=-12 X = Dlo X

A: Given a system of equations, 2x-15y=45 ⋯⋯⋯⋯113x-12y=-12 ⋯⋯⋯⋯2 Multiplying (1) by 13 and (2) by 2.…

Q: At most 4 hours of baking tim

Q: 5. An art gallery is mailing brochures to 1960 people to promote the gallery's annual exhibition.…

Q: Letting t=number of 20,000 railroad tank cars in the fleet, 2t−4 5,000-gallon railroad tank cars,…

A: We get the equation for the total cost as Total…

Q: [7×+y=13 [28×+4y=-12 Classify each system and determine the number of solutions

Q: 2. Allysa spent $35 to purchase 12 chickens. She bought two different types of chickens. Americana…

A: Let us say that the number of Americana chickens and Delaware chickens are A and D , respectively…

Q: 11. Solve the following system of equations 2x - 3 = 4 and 4x + 5 = 1

A: Given system of equations are: 2x-3y=4 4x+5y=1

Concept explainers

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.

Question

100%

15. A manufacturer makes both volleyballs and basketballs. Each volleyball
requires 2 minutes on the forming machine, and each basketball requires 1
minute. Each volleyball requires 1 minute on the inflating machine, and each
basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and
the inflating machine runs for 25 minutes, the following system of equations can
be used to determine the number of volleyballs and basketballs produced.
2x +
y = 40
x +1.5y
25
a. Explain how the system of equations can be used to plan the machine
running time
b. Solve the system by elimination OR substitution. Explain your process in your
own words.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92. THe other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. A. Write a system of equations to represent the costs of a juice box, j, and a bottle of water, w. B. Determine the acutal cost, in dollars, of each juice box and each bottle of water. C. Juile thinks that the juice boxes cost 45 cents and the water costs 60 cents. Is she correct? Justify your answer using your systems of equations.
The edges of a rectangular plece of plastic sheet are joined together to make a plastic tube. If the area of the plastic sheet is 284 cm", and the volume of the resulting tube is 134 cm³, what are the dimensions of the plastic sheet? Assume the sheet is longer than it is wide Determine the system of equations for this situation. Let x represent the width of the sheet, y represent the length of sheet. A represent the area of the sheet, and V represent the volume of the tube Assume that the width is used to form the circular base of the tube OA. A=xy v=mx² 4x OC. A-xy VaRx OB. A=xy v=Y²x² 4x OD. A=xy yx V=
4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.
An apartment complex has 1-bedroom apartments and 2-bedroom apartments. There are a total of 78 apartments in the complex, and there are twice as many 2-bedroom apartments as 1-bedroom apartments. If you want to find the number of apartments of each type, which system of equations could be used to solve the problem? Let x be the number of 1-bedroom apartments, and let y be the number of 2-bedroom apartments. A. x + y = 78 2 + y = x B. x + y = 78 2x = y C. x + y = 78 2y = x D. x + 2y = 78 2y = x E. x + 2y = 78 2x = y
A “piggy” bank contains nickels, dimes and quarters totaling $6.20 in value. The bank contains 53 coins, and there are two more nickels than dimes. How many coins of each variety are there in the bank? Set up and solve a system of equations for this problem. Show all your work, and clearly indicate your answer!