Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter 4.3, Problem 8E
To determine
To fill: The black spaces in the provided fractions 6⋅7⋅=6x7x.
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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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- 5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I purposefully removed the units- don't worry about them. Assume no conversions are needed.) a) Find the equation for the displacement of the spring mass at time t. b) Write the equation for the displacement of the spring mass in phase-mode form. c) Characterize the damping of the spring mass system as overdamped, underdamped or critically damped. Explain how you know. D.E. for Spring Mass Systems k m* g = kLo y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo m 2 A₁ = √c₁² + C₂² Q = tan-1arrow_forward4. Given the following information determine the appropriate trial solution to find yp. Do not solve the differential equation. Do not find the constants. a) (D-4)2(D+ 2)y = 4e-2x b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3xarrow_forward9.7 Given the equations 0.5x₁-x2=-9.5 1.02x₁ - 2x2 = -18.8 (a) Solve graphically. (b) Compute the determinant. (c) On the basis of (a) and (b), what would you expect regarding the system's condition? (d) Solve by the elimination of unknowns. (e) Solve again, but with a modified slightly to 0.52. Interpret your results.arrow_forward
- 3. Determine the appropriate annihilator for the given F(x). a) F(x) = 5 cos 2x b) F(x)=9x2e3xarrow_forward12.42 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 0= FT T + 200°C 25°C 25°C T22 0°C T₁ T21 200°C FIGURE P12.42 75°C 75°C 00°C If the plate is represented by a series of nodes (Fig. P12.42), cen- tered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Fig. P12.42.arrow_forward9.22 Develop, debug, and test a program in either a high-level language or a macro language of your choice to solve a system of equations with Gauss-Jordan elimination without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the program using the same system as in Prob. 9.18. Compute the total number of flops in your algorithm to verify Eq. 9.37. FIGURE 9.10 Pseudocode to implement the Gauss-Jordan algorithm with- out partial pivoting. SUB GaussJordan(aug, m, n, x) DOFOR k = 1, m d = aug(k, k) DOFOR j = 1, n aug(k, j) = aug(k, j)/d END DO DOFOR 1 = 1, m IF 1 % K THEN d = aug(i, k) DOFOR j = k, n aug(1, j) END DO aug(1, j) - d*aug(k, j) END IF END DO END DO DOFOR k = 1, m x(k) = aug(k, n) END DO END GaussJordanarrow_forward
- 11.9 Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations (the e's in g/m³) in a series of coupled reactors as a function of amount of mass input to each reactor (the right-hand sides are in g/day): 15c3cc33300 -3c18c26c3 = 1200 -4c₁₂+12c3 = 2400 Solve this problem with the Gauss-Seidel method to & = 5%.arrow_forward9.8 Given the equations 10x+2x2-x3 = 27 -3x-6x2+2x3 = -61.5 x1 + x2 + 5x3 = -21.5 (a) Solve by naive Gauss elimination. Show all steps of the compu- tation. (b) Substitute your results into the original equations to check your answers.arrow_forwardTangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).arrow_forward
- Vectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. Part B: Find u + v. Show your work.Part C: Find 5u − 2v. Show your work.arrow_forwardVectors u = 6(cos 60°i + sin60°j), v = 4(cos 315°i + sin315°j), and w = −12(cos 330°i + sin330°j) are given. Use exact values when evaluating sine and cosine.Part A: Convert the vectors to component form and find −7(u • v). Show every step of your work.Part B: Convert the vectors to component form and use the dot product to determine if u and w are parallel, orthogonal, or neither. Justify your answer.arrow_forwardSuppose that one factory inputs its goods from two different plants, A and B, with different costs, 3 and 7 each respective. And suppose the price function in the market is decided as p(x, y) = 100 - x - y where x and y are the demand functions and 0 < x, y. Then as x = y= the factory can attain the maximum profit,arrow_forward
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