MAT-105: APPLIED LIBERAL ARTS MATHEMATICS Application Assignment 3 The assignment draws mostly on even-numbered exercises from the textbook. Answer all assigned exercises. Point values are shown after each question. Show work where appropriate for full credit. Section 5.1 Problems 17, 22, 24, 28, 38, 56, 68 In Exercises 17, 22 & 24, determine whether the statement is true or false. Modify each false statement to make it a true statement. 17. 7 is a multiple of 28. (2 pts.) 22. If a number is not divisible by 10, then it is not divisible by 5. (2 pts.) 24. If every digit of a number is divisible by 3, then the number itself is divisible by 3. (2 pts) In Exercise 28, determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10. 28. 30,870 (6pts) 68. Stacking Trading Cards. Desmond Freeman collects trading cards. He has 432 baseball cards and 360 football cards. He wants to make stacks of cards on a table so that each stack contains the same number of cards and each card belongs to one stack. If the baseball cards and football cards must not be mixed in the stacks, what is the largest number of cards that he can have in a stack? (4 pts.) Section 5.2 Problems 16, 20, 32, 46, 62, 74 Copyright 2015 by Thomas Edison State College. All rights reserved. 16. Evaluate the expression. (2 pts.) 20. Evaluate the expression. (2 pts.) 32. Evaluate the expression. (2 pts.) 46. Evaluate the expression. (2 pts.) 62. Evaluate the expression. (2 pts.) 74. Extreme Temperatures. The hottest temperature ever recorded in the United States was 134F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the United States was -80F, which occurred at Prospect Creek Camp, Alaska, in the Endicott Mountains on January 23, 1971. Determine the difference between these two temperatures. (2 pts.) Section 5.3 Problems 30, 48, 54, 64, 72, 108 30. Write the number of inches indicated by the arrow as an improper fraction . (2 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. 48. Express the terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) 0.375 54. Express the repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms. (2 pts.) _ 0.7 64. Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) 72. Perform the indicated operation and reduce your answer to lowest terms. (2 pts.) 108. Increasing a Book Size. The dimensions of the cover of a book have been increased from 8 inches by 9 inches to 8 inches by 10 inches. By how many square inches has the surface area increased? (Use area = length x width.) (4 pts.) Section 5.4 Problems 10, 12, 16, 18, 26, 38, 54, 58, 88 Copyright 2015 by Thomas Edison State College. All rights reserved. For 10-18, determine if the number is rational or irrational. 10. (2 pts.) 12. 0.212112111 ... (2 pts.) 16. 3.14159 18. (2 pts.) (2 pts.) 26. Evaluate the expression. (4 pts.) 38. Simplify the radical. (2 pts.) 54. Perform the indicated operation. Simplify the answer if possible. (2 pts.) 58. Perform the indicated operation. Simplify the answer when possible. (4 pts.) 88. Dropping an Object. The formula t= can be used to estimate the time , t, in seconds it takes for an object dropped to travel d feet. Copyright 2015 by Thomas Edison State College. All rights reserved. a. Estimate how long it will take an object to drop 100 ft. (2 pts.) b. Estimate how long it will take an object to drop 400 ft. (2 pts.) c. Estimate how long it will take an object to drop 900 ft. (2 pts.) Section 5.5 46. Problems 46, 58, 62 State the name of the property illustrated. (2 pts.) 58. Use the distributive property to multiply. Then, if possible, simplify the resulting expression. (4 pts.) 62. Use the distributive property to multiply. Then, if possible, simplify the resulting expression. ( 4 pts.) -3 (2 - Section 5.6 ) Problems 18, 30, 34, 42, 54, 88, 100 18. Evaluate the expression. a) b) (2 pts.) (2 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. 30. Evaluate the expression. a) (2 pts.) b) 34. (-6)0 - (-6)0 (2 pts.) Evaluate the expression. a) b) (2 pts.) (2 pts.) 42. Express the number in scientific notation. (2 pts.) 54. Express the number in decimal notation. (2 pts.) 88. United Kingdom Debt per Person In 2010, the United Kingdom's government had a debt of about 923 billion (the pound, symbolized , is the United Kingdom's unit of currency.) The United Kingdom's population in 2010 was about 62.8 million. a) Determine the amount of debt per person in 2010 for the United Kingdom. (2 pts.) b) In 2010, 1 was worth about $1.50. Convert the amount found in part a) to dollars. (2 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. 100. Bucket Full of Molecules. A drop of water contains about 40 billion molecules. If a bucket has half a million drops of water in it, how many molecules of water are in the bucket? Write your answer in scientific notation. (2 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved