
Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Textbook Question
Chapter 4.4, Problem 59E
Simplify.
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Chapter 4 Solutions
Prealgebra (6th Edition)
Ch. 4.1 - Fill in the blanks. A number is divisible by...Ch. 4.1 - Fill in the blanks. A number is divisible by...Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Explain why you must divide by prime numbers when...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Is 232 divisible by 3? Why or why not?Ch. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Determine if each number is divisible by 2, 3,...Ch. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - State whether each number is prime, composite, or...Ch. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - For each of the following: a. Fill in the factor...Ch. 4.1 - For each of the following: a. Fill in the factor...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - The calculator can be a useful tool for finding...Ch. 4.1 - The calculator can be a useful tool for finding...Ch. 4.1 - The calculator can be a useful tool for finding...Ch. 4.1 - Write a five-digit number that is divisible by the...Ch. 4.1 - Write six-digit number that is divisible by the...Ch. 4.1 - When we square a whole number of fraction, the...Ch. 4.1 - Complete exercise 65, then use those to complete...Ch. 4.1 - Simplify. [3.4.2] (2x2)(5x3y)Ch. 4.1 - Simplify. [3.4.3] 7y2+2y2Ch. 4.1 - Simplify. [2.6.1] 5x+3x+2Ch. 4.1 - Simplify. [3.4.2] (5x)(3x)(2)Ch. 4.1 - Determine if 504 is divisible by 2, 3, and/or 5.Ch. 4.1 - Is the number 57 prime, composite, or neither?Ch. 4.1 - Express 315 as the product of prime factors.Ch. 4.1 - Concept Check Delroy is having a hard time...Ch. 4.2 - Fill in the blanks and boxes. Fraction are a set...Ch. 4.2 - Fill in the blanks and boxes. When you say 37, of...Ch. 4.2 - Fill in the blanks and boxes. To change the mixed...Ch. 4.2 - Fill in the blanks and boxes. To change the...Ch. 4.2 - Use a fraction to represent the shaded area in...Ch. 4.2 - Use a fraction to represent the shaded area in...Ch. 4.2 - Use a fraction to represent the shaded area in...Ch. 4.2 - Use a fraction to represent the shaded area in...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Divide, if possible. Assume all variables in the...Ch. 4.2 - Baseball A baseball player had 5 base hits in 12...Ch. 4.2 - Archery An archer hit target 7 times out of 19...Ch. 4.2 - Men vs. Women There are 57 women and 37 men in the...Ch. 4.2 - Male vs. Female There are 83 men and 67 women...Ch. 4.2 - Dance Production Class There are 26 dancers in the...Ch. 4.2 - Salad Bar Choices At a salad bar. There are 29...Ch. 4.2 - Baseball The city baseball team won 21 of the 32...Ch. 4.2 - Manufacturing Defects Lois Inspected 137 computer...Ch. 4.2 - Payroll Deductions The deductions from Arnolds...Ch. 4.2 - Payroll Deductions The deductions from Arnolds...Ch. 4.2 - Payroll Deductions The deductions from Arnolds...Ch. 4.2 - Payroll Deductions The deductions from Arnolds...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Identify each as a proper fraction, an improper...Ch. 4.2 - Change each improper fraction to a mixed number or...Ch. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 1QQCh. 4.2 - Prob. 2QQCh. 4.2 - The local humane society has 8 cats, 5 dogs, and 2...Ch. 4.2 - Prob. 4QQCh. 4.3 - Fill in the blanks. To build an equivalent...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Simplify. a. 1525 b. 1525 c. 1525Ch. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Solve. Write each fraction in simplest form....Ch. 4.3 - Prob. 78ECh. 4.3 - Correct/incorrect Test Answers The chart shown the...Ch. 4.3 - Correct/incorrect Test Answers The chart shown the...Ch. 4.3 - Prob. 81ECh. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.3 - Simplify. Assume that any variable in a...Ch. 4.3 - Prob. 86ECh. 4.3 - Simplify. Assume that any variable in a...Ch. 4.3 - Prob. 88ECh. 4.3 - Garden Enlargement A rectangular garden has a...Ch. 4.3 - Prob. 90ECh. 4.3 - Simplify [3.4.1] 2426Ch. 4.3 - Prob. 92ECh. 4.3 - [3.2.3] Peanuts and Cashews The number of peanuts...Ch. 4.3 - Prob. 94ECh. 4.3 - Prob. 1QQCh. 4.3 - Prob. 2QQCh. 4.3 - Prob. 3QQCh. 4.3 - Prob. 4QQCh. 4.4 - State the rule for simplifying each of the...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Prob. 14ECh. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Prob. 21ECh. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Simplify. In this exercise set, assume that all...Ch. 4.4 - Prob. 26ECh. 4.4 - Simplify. 20y435yCh. 4.4 - Simplify. 24x536xCh. 4.4 - Simplify. 9a427a3Ch. 4.4 - Simplify. 7m521m4Ch. 4.4 - Simplify. 56x9y064x3Ch. 4.4 - Simplify. 32y748y5z0Ch. 4.4 - Simplify. 12x4y215xy3Ch. 4.4 - Prob. 34ECh. 4.4 - To Think About, Exercises 35-38 Multiply and write...Ch. 4.4 - To Think About, Exercises 35-38 Multiply and write...Ch. 4.4 - To Think About, Exercises 35-38 Multiply and write...Ch. 4.4 - To Think About, Exercises 35-38 Multiply and write...Ch. 4.4 - Simplify. (z2)4Ch. 4.4 - Simplify. (x7)4Ch. 4.4 - Simplify. (35)4Ch. 4.4 - Simplify. (23)2Ch. 4.4 - Simplify. (b1)6Ch. 4.4 - Simplify. (x3)1Ch. 4.4 - Simplify. (x0)4Ch. 4.4 - Simplify. (y5)0Ch. 4.4 - Simplify. (y3)3Ch. 4.4 - Simplify. (62)3Ch. 4.4 - Simplify. (24)5Ch. 4.4 - Simplify. (x3)9Ch. 4.4 - Simplify. (x2)0Ch. 4.4 - Simplify. (y0)4Ch. 4.4 - Simplify. (63)9Ch. 4.4 - Simplify. (82)3Ch. 4.4 - Simplify. (x2)2Ch. 4.4 - Simplify. (b3)3Ch. 4.4 - Simplify. (3y2)6Ch. 4.4 - Simplify. (5x3)4Ch. 4.4 - Simplify. (4x2)3Ch. 4.4 - Simplify. (5b4)6Ch. 4.4 - Simplify. (3a4)8Ch. 4.4 - Simplify. (3y3)7Ch. 4.4 - Simplify. (22x5)3Ch. 4.4 - Simplify. (34y6)2Ch. 4.4 - Simplify. (83n4)6Ch. 4.4 - Simplify. (74b5)5Ch. 4.4 - Simplify. (4x)2Ch. 4.4 - Simplify. (3y)3Ch. 4.4 - Simplify. (ab)7Ch. 4.4 - Simplify. (ba)7Ch. 4.4 - Simplify. (3x)3Ch. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Simplify. (x6)2Ch. 4.4 - Prob. 76ECh. 4.4 - Simplify. (13)3Ch. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Simplify. 256x0y15300y9z8Ch. 4.4 - Prob. 83ECh. 4.4 - Simplify. (5x3y)2Ch. 4.4 - Prob. 85ECh. 4.4 - Simplify. (4a33b5)3Ch. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Find the next row in the triangular pattern below.Ch. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.4 - Prob. 1QQCh. 4.4 - Prob. 2QQCh. 4.4 - Prob. 3QQCh. 4.4 - Prob. 4QQCh. 4.5 - Explain the difference between a ratio and rate.Ch. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 5ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 7ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 9ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 11ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 13ECh. 4.5 - Write each ratio as a fraction in simplest form. 3...Ch. 4.5 - Prob. 15ECh. 4.5 - Write each ratio as a fraction in simplest form....Ch. 4.5 - Prob. 17ECh. 4.5 - Write each ratio as a fraction and simplify. Field...Ch. 4.5 - Prob. 19ECh. 4.5 - Write each ratio as a fraction and simplify. Men...Ch. 4.5 - Prob. 21ECh. 4.5 - Fatty Acids Write as a ratio and simplify. The...Ch. 4.5 - Prob. 23ECh. 4.5 - Suspension Bridge Use the following information to...Ch. 4.5 - Prob. 25ECh. 4.5 - What is the unit rate in calories per gram of fat?...Ch. 4.5 - Prob. 27ECh. 4.5 - What is the unit rate in miles per gallon?...Ch. 4.5 - Prob. 29ECh. 4.5 - What is the unit rate in dollars per hour? Earning...Ch. 4.5 - Prob. 31ECh. 4.5 - What is the unit rate in miles per hour (mph)?...Ch. 4.5 - Prob. 33ECh. 4.5 - Walking Speed Michelle and Debi walk for 75...Ch. 4.5 - Prob. 35ECh. 4.5 - Photo Calendar Igor designed family photo...Ch. 4.5 - Prob. 37ECh. 4.5 - Agent-Client Ratio The All point Insurance Group...Ch. 4.5 - Prob. 39ECh. 4.5 - Comparison Shopping The tanning salon has a...Ch. 4.5 - Prob. 41ECh. 4.5 - Compression Shopping An online movie DVD club...Ch. 4.5 - Prob. 43ECh. 4.5 - Sales statistics Johnson and Brothers suits...Ch. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Sara and Mark ran for president of their...Ch. 4.5 - Prob. 2QQCh. 4.5 - Chocolate Delite is having a sale on its sugar...Ch. 4.5 - Prob. 4QQCh. 4.6 - Why should we be able to see that 5555=621621...Ch. 4.6 - Why should we be able to see that 1889 without...Ch. 4.6 - Translate each statement into a proportion. 3 is...Ch. 4.6 - Translate each statement into a proportion. 9 is...Ch. 4.6 - Translate each statement into a proportion. 12...Ch. 4.6 - Translate each statement into a proportion. 16...Ch. 4.6 - Prob. 7ECh. 4.6 - Translate each statement into a proportion. 3 is...Ch. 4.6 - Translate each statement into the proportion. Fat...Ch. 4.6 - Translate each statement into the proportion....Ch. 4.6 - Translate each statement into the proportion....Ch. 4.6 - Translate each statement into the proportion....Ch. 4.6 - Translate each statement into the proportion....Ch. 4.6 - Translate each statement into the proportion....Ch. 4.6 - Use the equality test for fraction to determine if...Ch. 4.6 - Use the equality test for fraction to determine if...Ch. 4.6 - Use the equality test for fraction to determine if...Ch. 4.6 - Use the equality test for fraction to determine if...Ch. 4.6 - Prob. 19ECh. 4.6 - Determine if each statement is a proportion....Ch. 4.6 - Prob. 21ECh. 4.6 - Determine if each statement is a proportion....Ch. 4.6 - Prob. 23ECh. 4.6 - Determine if each statement is a proportion....Ch. 4.6 - Prob. 25ECh. 4.6 - Find the value of x in each proportion. Check your...Ch. 4.6 - Prob. 27ECh. 4.6 - Find the value of x in each proportion. Check your...Ch. 4.6 - Prob. 29ECh. 4.6 - Find the value of x in each proportion. Check your...Ch. 4.6 - Prob. 31ECh. 4.6 - Find the value of x in each proportion. Check your...Ch. 4.6 - Find the value of n....Ch. 4.6 - Find the value of n. 70pints25ft2=14pintsnft2Ch. 4.6 - Find the value of n....Ch. 4.6 - Find the value of n....Ch. 4.6 - Prob. 37ECh. 4.6 - Prob. 38ECh. 4.6 - Size Comparison Two cakes for a banquet are the...Ch. 4.6 - Prob. 40ECh. 4.6 - Parcels of Land Jason owns two square plots of...Ch. 4.6 - Prob. 42ECh. 4.6 - Calories If 2 servings of cereal contain 126...Ch. 4.6 - Prob. 44ECh. 4.6 - Calories A 1-ounce serving of Deluxe Mixed Nuts...Ch. 4.6 - Baseball A baseball player gets 20 hits of 50...Ch. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Scale Drawing In a scale drawing, a 210 foot tall...Ch. 4.6 - Prob. 50ECh. 4.6 - Prob. 51ECh. 4.6 - Reading Map On a tour guide map of Ohio, 2 inches...Ch. 4.6 - Prob. 53ECh. 4.6 - Bicycle Speed If Wendy pedals her bicycle at 84...Ch. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Pool Fence Dimension Julio wants to put a fence...Ch. 4.6 - Photography Shannon has a color photography that...Ch. 4.6 - Marketing survey Use the following information to...Ch. 4.6 - Marketing survey Use the following information to...Ch. 4.6 - Write as a proportion. 13isto18as14istoCh. 4.6 - Write as a proportion. 15isto19as16istoCh. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Payroll Deductions Renee Sharp receives a...Ch. 4.6 - Box Dimensions A box has dimensions of...Ch. 4.6 - picture frames Helena is making three frames for...Ch. 4.6 - a. Fill in the boxes with the sum of the two...Ch. 4.6 - Exam Grading Scale To discourage guessing on the...Ch. 4.6 - Exam Grading Scale To discourage guessing on the...Ch. 4.6 - Determine if 1830=3456 is a proportion.Ch. 4.6 - Find the value of n in proportion 1215=n90Ch. 4.6 - On a map of New England, 2 inches represent 72...Ch. 4.6 - Concept Check Justin and Sara share the profits...Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Prob. 4RPCh. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Fill in the blank with definition for each word....Ch. 4 - Determine if each number is divisible by 2, 3,...Ch. 4 - Determine if each number is divisible by 2, 3,...Ch. 4 - State whether each number is prime, composite, or...Ch. 4 - State whether each number is prime, composite, or...Ch. 4 - Express as a product of prime factors. 36Ch. 4 - Express as a product of prime factors. 56Ch. 4 - Express as a product of prime factors. 425Ch. 4 - Express as a product of prime factors. 90Ch. 4 - Evaluate, if possible. Assume that all variables...Ch. 4 - Evaluate, if possible. Assume that all variables...Ch. 4 - Evaluate, if possible. Assume that all variables...Ch. 4 - Solve each applied problem. Males vs. Females In a...Ch. 4 - Solve each applied problem. Dinner Desserts At a...Ch. 4 - Write each improper fraction as a mixed number or...Ch. 4 - Write each improper fraction as a mixed number or...Ch. 4 - Write each improper fraction as a mixed number or...Ch. 4 - Change each mixed number to an improper fraction....Ch. 4 - Change each mixed number to an improper fraction....Ch. 4 - Change each mixed number to an improper fraction....Ch. 4 - Find an equivalent fraction with the given...Ch. 4 - Find an equivalent fraction with the given...Ch. 4 - Find an equivalent fraction with the given...Ch. 4 - Find an equivalent fraction with the given...Ch. 4 - Simplify. Assume that all variables in the...Ch. 4 - Prob. 34RPCh. 4 - Simplify. Assume that all variables in the...Ch. 4 - Simplify. Assume that all variables in the...Ch. 4 - Prob. 37RPCh. 4 - Prob. 38RPCh. 4 - Prob. 39RPCh. 4 - Prob. 40RPCh. 4 - Prob. 41RPCh. 4 - Prob. 42RPCh. 4 - Prob. 43RPCh. 4 - Prob. 44RPCh. 4 - Prob. 45RPCh. 4 - Prob. 46RPCh. 4 - Prob. 47RPCh. 4 - Prob. 48RPCh. 4 - Prob. 49RPCh. 4 - Prob. 50RPCh. 4 - Prob. 51RPCh. 4 - Prob. 52RPCh. 4 - Prob. 53RPCh. 4 - Prob. 54RPCh. 4 - Prob. 55RPCh. 4 - Prob. 56RPCh. 4 - Prob. 57RPCh. 4 - Prob. 58RPCh. 4 - Find the rate. Typing Speed It took Tan 30 minutes...Ch. 4 - Prob. 60RPCh. 4 - Prob. 61RPCh. 4 - Profit/Loss Jennys Clothing Store recorded the...Ch. 4 - Prob. 63RPCh. 4 - Prob. 64RPCh. 4 - Prob. 65RPCh. 4 - Prob. 66RPCh. 4 - Prob. 67RPCh. 4 - Prob. 68RPCh. 4 - Prob. 69RPCh. 4 - Prob. 70RPCh. 4 - Prob. 71RPCh. 4 - Prob. 72RPCh. 4 - Prob. 73RPCh. 4 - Prob. 74RPCh. 4 - Prob. 75RPCh. 4 - Prob. 76RPCh. 4 - Hourly Wages Leslie and Gloria work at the same...Ch. 4 - Determine if 230 is divisible by 2, 3, and/or 5.Ch. 4 - Identify each number as prime, composite, or...Ch. 4 - Express as a product of prime factors. 84Ch. 4 - Express as a product of prime factors. 120Ch. 4 - Divide, if possible. Assume all variables in the...Ch. 4 - Solve. There are 36 students in a prealgebra...Ch. 4 - Solve. The local parks and recreation department...Ch. 4 - Change to a mixed number or whole number. 85Ch. 4 - Change 716 to an improper fraction.Ch. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Two large birthday cakes are the same size. One...Ch. 4 - A bottle of fertilizer for your lawn states that...
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- Problem 3. Pricing a multi-stock option the Margrabe formula The purpose of this problem is to price a swap option in a 2-stock model, similarly as what we did in the example in the lectures. We consider a two-dimensional Brownian motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices are modeled by the following equations: dX = dY₁ = X₁ (rdt+ rdt+0₁dW!) (²)), Y₁ (rdt+dW+0zdW!"), with Xo xo and Yo =yo. This corresponds to the multi-stock model studied in class, but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure P is already the risk-neutral measure (Both stocks have rate of return r). We write σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to exchange one share of X for one share of Y. That is, the option has payoff F=(Yr-XT). (a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for the process Xt. Reminder before proceeding to question (b): Girsanov's theorem…arrow_forwardProblem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forwardRoedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a…arrow_forward
- Show three different pairs of integers, a and b, where at least one example includes a negative integer. For each of your examples, determine if each of the following statements are true or falsearrow_forwardThe scores of 8 students on the midterm exam and final exam were as follows. Student Midterm Final Anderson 98 89 Bailey 88 74 Cruz 87 97 DeSana 85 79 Erickson 85 94 Francis 83 71 Gray 74 98 Harris 70 91 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary. Test statistic: rs =arrow_forward(a) Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%. Assume that the five planning scenarios in the Hauck Financial rvices model are equally likely to occur. Hint: Modify model (8.10)-(8.19). Define a variable d, for each scenario and let d₂ > R - R¸ with d ≥ 0. Then make the objective function: Min Let FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG = proportion of portfolio invested in the small-cap growth fund SV = proportion of portfolio invested in the small-cap value fund R = the expected return of the portfolio R = the return of the portfolio in years. Min s.t. R₁ R₂ = R₁ R R5 = FS + IB + LG + LV + SG + SV = R₂ R d₁ =R- d₂z R- d₂ ZR- d₁R- d≥R- R = FS, IB, LG, LV, SG, SV…arrow_forward
- The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to determine which cities Martin-Beck should construct a plant in. Let y₁ = 1 if a plant is constructed in Detroit; 0 if not y₂ = 1 if a plant is constructed in Toledo; 0 if not y₂ = 1 if a plant is constructed in Denver; 0 if not y = 1 if a plant is constructed in Kansas City; 0 if not. The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem. *,, = the units shipped in thousands from plant i to distribution center j i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…arrow_forwardConsider the following mixed-integer linear program. Max 3x1 + 4x2 s.t. 4x1 + 7x2 ≤ 28 8x1 + 5x2 ≤ 40 x1, x2 ≥ and x1 integer (a) Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph. The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0). The region is above the horizontal axis, to the right of the vertical axis, and below the line segments. At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments. On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…arrow_forwardConsider the nonlinear optimization model stated below. Min s.t. 2x²-18x + 2XY + y² - 14Y + 53 x + 4Y ≤ 8 (a) Find the minimum solution to this problem. |at (X, Y) = (b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is| , so the actual change is a decrease of rather than what we expected in part (b).arrow_forward
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