In Exercises 13–20, use lattice multiplication to determine the product. 47 ( 259
> The set of years in which Krispy Kreme sales were less than $900 million
> The set of years in which Krispy Kreme sales were greater than $900 million
> The set of cities in which the number of international visitors was between 12 million and 15 million
> The set of cities in which the number of international visitors was between 12 million and 13 million
> In Exercises 5–12, multiply using duplation and mediation. 27 ( 31
> The set of best musicians
> The set of cities in which the number of international visitors was less than 9 million
> In Exercises 5–12, multiply using duplation and mediation. 17 ( 26
> The set of cities in which the number of international visitors was greater than 10.5 million
> In Exercises 5–12, multiply using duplation and mediation. 15 ( 17
> The set of states in the United States that are not in the contiguous 48 states
> In Exercises 35 and 36, (a) use lattice multiplication to perform the multiplication. (Hint: Be sure not to list any number greater than or equal to the base within the box.) Write the answer in the base in which the exercise is given. (b) Multiply the n
> E = {x|x [ N and 14 ≤ x ‹ 85}
> In Exercises 33 and 34, use the method of duplation and mediation to perform the multiplication. See Section 4.1 for Egyptian and Roman numerals. Write the answer in the numeration system in which the exercise is given. (XXVI) . (LXVII)
> The set of states in the United States that have a common border with the state of Washington
> In Exercises 33 and 34, use the method of duplation and mediation to perform the multiplication. See Section 4.1 for Egyptian and Roman numerals. Write the answer in the numeration system in which the exercise is given.
> Home Theater System Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the
> The set of football players over the age of 70 who are still playing in the National Football League
> In Exercises 31 and 32, we solve a multiplication problem using Napier’s rods. (a) Determine the numbers being multiplied. Each empty box contains a single digit. (b) Determine the product.
> The set of states in the United States that have a common border with Alaska
> In Exercises 31 and 32, we solve a multiplication problem using Napier’s rods. (a) Determine the numbers being multiplied. Each empty box contains a single digit. (b) Determine the product.
> B = {x|x€N and x is even6
> In Exercises 29 and 30, we show lattice multiplications. (a) Determine the numbers being multiplied. (b) Determine the product.
> C = {x|x + 6 = 10}
> In Exercises 29 and 30, we show lattice multiplications. (a) Determine the numbers being multiplied. (b) Determine the product.
> The set of natural numbers between 10 and 178
> In Exercises 21–28, multiply using Napier’s rods. 7 ( 3456
> Answer true or false. If false, give the reason. {elm, oak, pine} ( {oak, pine, elm, maple}
> In Exercises 1–15, draw a Venn diagram to obtain the answers. Dunkin Donuts Purchases Dunkin Donuts collected the following information regarding purchases from 100 of its customers. 65 purchased coffee. 41 purchased donuts. 22 purchased both coffee an
> The set of months whose names begin with the letter J
> In Exercises 21–28, multiply using Napier’s rods. 9 ( 6742
> The set of states in the United States whose names begin with the letter H
> In Exercises 21–28, multiply using Napier’s rods. 75 ( 125
> The set of apple trees in Gro-More Farms Orchards
> In Exercises 21–28, multiply using Napier’s rods. 5 ( 125
> The set of odd numbers greater than 15
> In Exercises 21–28, multiply using Napier’s rods. 6 ( 171
> The set of fractions between 1 and 2
> In Exercises 21–28, multiply using Napier’s rods. 5 ( 79
> Subway Cost Chandler buys a monthly MetroCard, which entitles him to unlimited subway travel in New York City, for $112 per month. Without the Metrocard, each subway ride costs $2.50. How many rides per month would Chandler have to take so that the cost
> The set of odd numbers greater than 25
> In Exercises 21–28, multiply using Napier’s rods. 4 ( 58
> The set of multiples of 3 between 0 and 40
> In Exercises 21–28, multiply using Napier’s rods. 3 ( 43
> {1, 2, 3, 4, … }
> In Exercises 13–20, use lattice multiplication to determine the product. 634 ( 832
> The set of the most interesting teachers at your school
> In Exercises 13–20, use lattice multiplication to determine the product. 314 ( 652
> The set of astronauts who walked on the moon
> Answer true or false. If false, give the reason. {cheesecake, pie} ( {pie, cookie, cheesecake, brownie}
> The set of Academy Awards winners in 2014
> In Exercises 13–20, use lattice multiplication to determine the product. 75 ( 12
> Determine whether the number used is a cardinal number or an ordinal number. Emily paid $35 for her new blouse.
> In Exercises 13–20, use lattice multiplication to determine the product. 9 ( 509
> Determine whether the number used is a cardinal number or an ordinal number. Lincoln was the sixteenth president of the United States.
> In Exercises 13–20, use lattice multiplication to determine the product. 8 ( 567
> Determine whether the number used is a cardinal number or an ordinal number. Study the chart on page 25 in the book.
> In Exercises 13–20, use lattice multiplication to determine the product. 5 ( 417
> Determine whether the number used is a cardinal number or an ordinal number J. K. Rowling has written 7 Harry Potter books.
> In Exercises 13–20, use lattice multiplication to determine the product. 4 ( 327
> Housing Market The following table shows the five cities where the average U.S. house prices have increased the most from 2012 to 2013. The table also shows the percent change from 2006 to 2013 for those cities. (a) If a house in Las Vegas, NV, cost $200
> Consider sets A and B below A = { x | 2 < x ≤ 5 and x ( N } and B = { x | 2 < x ≤ 5 } (a) Write a description of set A and set B. (b) Explain the difference between set A and set B. (c) Write set A in roster form. (d) Can set B be written in roster
> In Exercises 5–12, multiply using duplation and mediation. 49 ( 124
> Set-builder notation is often more versatile and efficient than listing a set in roster form. This versatility is illustrated with the following two sets. A = {x | x ( N and x > 2 } B = {x | x > 2 } a) Write a description of set A and set B. b) Explain
> In Exercises 5–12, multiply using duplation and mediation. 93 ( 93
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A is the set of states. B is the set of state capitals.
> In Exercises 5–12, multiply using duplation and mediation. 96 ( 53
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A is the set of letters in the word bank. B is the set of letters in the word post.
> In Exercises 5–12, multiply using duplation and mediation. 35 ( 236
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A is the set of Siamese cats. B is the set of cats.
> In Exercises 5–12, multiply using duplation and mediation. 138 ( 41
> Answer true or false. If false, give the reason. {book, magazine} ( {book, newspaper, journal}
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A = { grapes, apples, oranges }, B = { grapes, peaches, apples, oranges }
> Convert the given numeral to a numeral in base 10. 234
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A = { purple, green, yellow } , B = { q, r, s }
> Convert the given numeral to a numeral in base 10. 213
> Determine whether the pairs of sets are equal, equivalent, both, or neither. A = { lion, tiger, monkey } , B = { tiger, monkey, lion }
> Convert the given numeral to a numeral in base 10. 123
> Use the sets A = {2, 4, 6, 8}, B ={1, 3, 7, 9, 13, 21 }, C = { }, and D = {#, &, %, (,*} . Determine n(D) .
> Convert the given numeral to a numeral inbase 10. 57316
> Use the sets A = {2, 4, 6, 8}, B ={1, 3, 7, 9, 13, 21 }, C = { }, and D = {#, &, %, ,*} . Determine n(C) .
> Convert the given numeral to a numeral inbase 10. 100512
> Bachelor’s Degrees The circle graph below shows the percent of bachelor’s degrees awarded in 2012 in Business, Social Sciences and History, Health Professions, Psychology, Education, and other fields. In 2012, the numb
> Use the sets A = {2, 4, 6, 8}, B ={1, 3, 7, 9, 13, 21 }, C = { }, and D = {#, &, %, ,*} . Determine n(B) .
> Convert the given numeral to a numeral in base 10. 30912
> Use the sets A = {2, 4, 6, 8}, B ={1, 3, 7, 9, 13, 21 }, C = { }, and D = {#, &, %, ,*} . Determine n(A).
> Convert the given numeral to a numeral in base 10. 7658
> 2 ( {x | x is an odd natural number}
> Convert the given numeral to a numeral in base 10. 2418
> 9 ( {1, 3, 5, 7, … }
> Suppose a base 4 place-value system has its digits represented by colors as follows: (a) Determine the value of /in base 10 (b) Write 177 in the base 4 system using only the four colors given in the exercise.
> Amazon ( {rivers in the United States}
> The Price Is Right Refer to the Recreational Mathematics on page 181. Determine the correct order in which to place the digits 0, 1, 2, 3, and 8 to match the price of the 2014 Chevrolet Impala LTZ Sedan
> Answer true or false. If false, give the reason. {potato, carrot} ( {carrot, squash, cucumber, celery}
> 3 ( {x | x (N and x is odd}
> Convert the given numeral to a numeral in base 10. 324
> Mickey Mouse Є {characters created by Walt Disney }
> Computer Code The ASCII code used by most computers uses the last seven positions of an eight-bit byte to represent all the characters on a standard keyboard. How many different orderings of 0’s and 1’s (or how many different characters) can be made by u
> Boxes of Fruit There are three boxes on a table, each with a label. Thomas knows that one box contains grapes, one box contains cherries, and the third box contains both grapes and cherries. He also knows that the three labels used—grapes, cherries, and
> (a) Use the numerals 0, 1, and 2 to write the first 20 numbers in the base 3 numeration system. (b) What is the next numeral after 2223?
