
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 4.2, Problem 26E
Salad Bar Choices At a salad bar. There are 29 different items to choose from. Eleven of the choices contain pasta. Write the fraction that describes the choice that do not contain pasta.
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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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- (7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0. (b) (4 points) Find a potential f for the vector field F. (c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use Stokes' Theorem to calculate the line integral Jos F.ds; as denotes the boundary of S. Explain your answer.arrow_forward(3) (16 points) Consider z = uv, u = x+y, v=x-y. (a) (4 points) Express z in the form z = fog where g: R² R² and f: R² → R. (b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate steps otherwise no credit. (c) (4 points) Let S be the surface parametrized by T(x, y) = (x, y, ƒ (g(x, y)) (x, y) = R². Give a parametric description of the tangent plane to S at the point p = T(x, y). (d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic approximation) of F = (fog) at a point (a, b). Verify that Q(x,y) F(a+x,b+y). =arrow_forward(6) (8 points) Change the order of integration and evaluate (z +4ry)drdy . So S√ ² 0arrow_forward
- (10) (16 points) Let R>0. Consider the truncated sphere S given as x² + y² + (z = √15R)² = R², z ≥0. where F(x, y, z) = −yi + xj . (a) (8 points) Consider the vector field V (x, y, z) = (▼ × F)(x, y, z) Think of S as a hot-air balloon where the vector field V is the velocity vector field measuring the hot gasses escaping through the porous surface S. The flux of V across S gives the volume flow rate of the gasses through S. Calculate this flux. Hint: Parametrize the boundary OS. Then use Stokes' Theorem. (b) (8 points) Calculate the surface area of the balloon. To calculate the surface area, do the following: Translate the balloon surface S by the vector (-15)k. The translated surface, call it S+ is part of the sphere x² + y²+z² = R². Why do S and S+ have the same area? ⚫ Calculate the area of S+. What is the natural spherical parametrization of S+?arrow_forward(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve starting from the point (1,0,1).arrow_forward(9) (16 points) Let F(x, y, z) = (x² + y − 4)i + 3xyj + (2x2 +z²)k = - = (x²+y4,3xy, 2x2 + 2²). (a) (4 points) Calculate the divergence and curl of F. (b) (6 points) Find the flux of V x F across the surface S given by x² + y²+2² = 16, z ≥ 0. (c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] × [0,1] x [0,1].arrow_forward
- (8) (12 points) (a) (8 points) Let C be the circle x² + y² = 4. Let F(x, y) = (2y + e²)i + (x + sin(y²))j. Evaluate the line integral JF. F.ds. Hint: First calculate V x F. (b) (4 points) Let S be the surface r² + y² + z² = 4, z ≤0. Calculate the flux integral √(V × F) F).dS. Justify your answer.arrow_forwardDetermine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle. a = 13, b = 15, C = 68° Law of Sines Law of Cosines Then solve the triangle. (Round your answers to four decimal places.) C = 15.7449 A = 49.9288 B = 62.0712 × Need Help? Read It Watch Itarrow_forward(4) (10 points) Evaluate √(x² + y² + z²)¹⁄² exp[}(x² + y² + z²)²] dV where D is the region defined by 1< x² + y²+ z² ≤4 and √√3(x² + y²) ≤ z. Note: exp(x² + y²+ 2²)²] means el (x²+ y²+=²)²]¸arrow_forward
- (2) (12 points) Let f(x,y) = x²e¯. (a) (4 points) Calculate Vf. (b) (4 points) Given x directional derivative 0, find the line of vectors u = D₁f(x, y) = 0. (u1, 2) such that the - (c) (4 points) Let u= (1+3√3). Show that Duƒ(1, 0) = ¦|▼ƒ(1,0)| . What is the angle between Vf(1,0) and the vector u? Explain.arrow_forwardFind the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.) a b 29 39 66.50 C 17.40 d 0 54.0 126° a Ꮎ b darrow_forwardAnswer the following questions related to the following matrix A = 3 ³).arrow_forward
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