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 12E
(a)
To determine
To calculate: The equivalent fraction by multiply the numerator and denominator of the fraction
(b)
To determine
To calculate: Equivalent fraction by multiplying the numerator and denominator of the fraction
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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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- 10) Which of the following is the general solution of the homogeneous second-order differential equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants. A) y = C₁ecos(61) + C₂e*sin(61) + C B) y = et (sin(4t) + cos(6t)) + C C) y = C₁esin(6) + C₂e+ cos(6t) + C D) y = C₁esin(6) + C₂e+cos(6) E) y=e(C₁sin(61) + C₂cos(61))arrow_forward3) Consider the initial value problem ' y' + 8y = 0, y(0) = -4, y (0) = 16 What is the solution of this initial value problem? A) y = -4t - 2e8t D) y = -4 + 2e-8t B) y = -2 + 2e8t C) y = -2 -2e-8t E) y = -4+ 2e8t F) y = -2t-2e-8tarrow_forward6) Consider the initial value problem y + cos πι + e²бty = 0, y(-1) = 0, y' (-1) = 0 Which of these statements are true? Select all that apply. A) There exists a nonzero real number r such that y(t) = ert is a solution of the initial value problem. B) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. C) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval (-∞, ∞). D) This initial value problem has only one solution on the interval (-7, 5). E) There must exist a function y = q(t) that satisfies this initial value problem on the interval (-7,∞).arrow_forward
- 7) Compute the Wronskian of the pair of functions sin(5t) and cos(5t). A) -5 B) 4 C) 1 D) -4 E) 5arrow_forward8) The pair of functions y₁ = eбt and y₁ = teбt forms a fundamental set of solutions for the differential equation y'' - 12y' + 36y= 0.arrow_forward6) Consider the initial value problem y + cos πι + e²бty = 0, y(-1) = 0, y' (-1) = 0 Which of these statements are true? Select all that apply. A) There exists a nonzero real number r such that y(t) = ert is a solution of the initial value problem. B) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. C) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval (-∞, ∞). D) This initial value problem has only one solution on the interval (-7, 5). E) There must exist a function y = q(t) that satisfies this initial value problem on the interval (-7,∞).arrow_forward
- 5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明arrow_forward1) Which of the following are solutions to the homogeneous second-order differential equation 4y 7y -2y=0? Select all that apply. A) YA = Ce2t, where C is any real constant B) y = 2e-21 6 2t C) y = C (e- 21 + e21), where C is any real constant D) 1/3 = 8 (221 + €21) E) y2 = Ce 2t, where C is any real constant 2t F) y₁ = 8e +2e2t G) y5 = (C₁ e²) · (C₂e-21), where C₁ and C₂ are any real constants 1arrow_forward7) Compute the Wronskian of the pair of functions sin(5t) and cos(5t). A) -5 B) 4 C) 1 D) -4 E) 5arrow_forward
- 5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明arrow_forward2) For which of these differential equations is the characteristic equation given by r(10r + 1) = 0? A) y (10y + 1) = 0 B) 10y'' + 1 = 0 C) 10y+1y=0 D) y (10y + 1y) = 0 E) 10y'' + 1y=0arrow_forwardS 36. lim 5x+2 x-2 37. lim √√2x4 + x² x-3 Answer-> 2x3 +4 38. lim x12 √ x² + 1 √√x² + 8 39. lim x-1 2x+4 Answer 40. lim x3 2x x√x² + 7 √√2x+3arrow_forward
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