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67. Nutrition One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 227 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 578 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? 68, Airplane Speed Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts speed is 80 kilometers per hour faster. Two hours after the first plane departs, the planes are 3200 kilometers apart. Find the airspeed of each plane. hour after the first plane, but its

67. Nutrition One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 227 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 578 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? 68, Airplane Speed Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts speed is 80 kilometers per hour faster. Two hours after the first plane departs, the planes are 3200 kilometers apart. Find the airspeed of each plane. hour after the first plane, but its

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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10x + 5y + 2z = 0 16x + 2y - z = 0 5x + 15y – 9z = 0 67. Nutrition One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 227 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 578 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? 68, Airplane Speed Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts hour after the first plane, but its speed is 80 kilometers per hour faster. Two hours after the first plane departs, the planes are 3200 kilometers apart. Find the airspeed of each plane. True or False? In Exercises 69 and 70, determine whether each statement is true or false. If a statement is true, gjve a reason or cite an apnropriate statement
Transcribed Image Text:10x + 5y + 2z = 0 16x + 2y - z = 0 5x + 15y – 9z = 0 67. Nutrition One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 227 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 578 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? 68, Airplane Speed Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts hour after the first plane, but its speed is 80 kilometers per hour faster. Two hours after the first plane departs, the planes are 3200 kilometers apart. Find the airspeed of each plane. True or False? In Exercises 69 and 70, determine whether each statement is true or false. If a statement is true, gjve a reason or cite an apnropriate statement
apart. speed True or False? In Exercises 69 and 70, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 69.)(a) A system of one linear equation in two variables is always consistent. (b) A system of two linear equations in three variables is always consistent. (c) If a linear system is consistent, then it has infinitely many solutions. 70, (a) A linear system can have exactly two solutions. (b) Two systems of linear equations are equivalent when they have the same solution set. (c) A system of three linear equations in two variables is always inconsistent. 71, Find a system of two equations in two variables, x, and X,, that has the solution set given by the parametric representation x, = t and x, = real number. Then show that the solutions to the system X2 = 3t – 4, where t is any can also be written as 4 and x2 = t. available 3, 7/3
Transcribed Image Text:apart. speed True or False? In Exercises 69 and 70, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 69.)(a) A system of one linear equation in two variables is always consistent. (b) A system of two linear equations in three variables is always consistent. (c) If a linear system is consistent, then it has infinitely many solutions. 70, (a) A linear system can have exactly two solutions. (b) Two systems of linear equations are equivalent when they have the same solution set. (c) A system of three linear equations in two variables is always inconsistent. 71, Find a system of two equations in two variables, x, and X,, that has the solution set given by the parametric representation x, = t and x, = real number. Then show that the solutions to the system X2 = 3t – 4, where t is any can also be written as 4 and x2 = t. available 3, 7/3
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