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Nature of Mathematics

Mathematics

Quiz 5 :

The Nature of Numbers

Quiz 5 :

The Nature of Numbers

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Solve the equation for x. ​ img
Free
Multiple Choice
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Answer:

B

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Perform the operation img using arithmetic for a 12-hour clock. ​
Free
Multiple Choice
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C

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Assume that today is Monday (day 2). Determine the day of the week it will be at the end of the period at 2 years. (Assume no leap years.) ​
Free
Multiple Choice
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D

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Is the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} a group for multiplication modulo 11? ​ ​
Multiple Choice
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Solve the equation for x. ​ img
Multiple Choice
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Perform the operation. ​ ​ img
Short Answer
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Suppose you make six round trips to visit a sick aunt and wish to record your mileage to the nearest mile. You forget the original odometer reading, but you do remember that the units digit has increased by 8 miles. If you know that your aunt lives somewhere between 26 and 31 miles from your house, how far exactly is her house? ​
Multiple Choice
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Perform the operation. ​ img
Multiple Choice
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Perform the operation img using arithmetic for a 12-hour clock. ​
Multiple Choice
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An International Standard Book Number (ISBN) is used to identify books. The ISBN number for some book is 0-534-36890-5. The first digit, 0, indicates the book is published in an English-speaking country. The next three digits, 534, identify the publisher (Brooks/Cole) and the next five digits identify the particular book. The last digit is a check digit, which is used as follows. Multiply the first digit by 10, the next digit by 9, and so on: ​ 10(0) + 9(5) + 8(3) + 7(4) + 6(3) + 5(6) + 4(8) + 3(9) + 2(0) + 1(5) = 209 ​ This number is congruent to 0, (mod 11). This is not by chance. The check digit, 5, is chosen so that this sum is 0, (mod 11). In other words, the check digit x for the book with ISBN number 0-534-34015-x is found by considering: ​ 10(0) + 9(5) + 8(3) + 7(4) + 6(3) + 5(4) + 4(0) + 3(1) + 2(5) = 148 ≡ 5 ​ This means that for check digit x, 5 + x ≡ 0, (mod 11). The one-digit solution to this equation is x = 6, so the check digit is 6. What is the check digit for the book with ISBN 0-8028-1430-x? ​
Multiple Choice
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Perform the indicated operation. ​ img
Multiple Choice
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-Is the statement img true? ​
True False
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Perform the operation img using arithmetic for a 12-hour clock.
Short Answer
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Perform the operation img using arithmetic for a 12-hour clock.
Short Answer
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Perform the indicated operations. ​ imgimg __________ ​ img __________
Short Answer
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Solve the equation for x. ​ img ​ Assume that img . If there is no solution, answer none. If you get several answers, enter one of them.
Essay
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Suppose you make six round trips to visit a sick aunt and wish to record your mileage to the nearest mile. You forget the original odometer reading, but you do remember that the units digit has increased by 8 miles. If you know that your aunt lives somewhere between 2 and 5 miles from your house, how far exactly is her house? ​ __________ miles
Short Answer
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An International Standard Book Number (ISBN) is used to identify books. The ISBN number for some book is img . The first digit, 0, indicates the book is published in an English-speaking country. The next three digits, 534, identify the publisher (Brooks/Cole) and the next five digits identify the particular book. The last digit is a check digit, which is used as follows. Multiply the first digit by 10, the next digit by 9, and so on: ​ ​ img ​ This number is congruent to 0, (mod 11). This is not by chance. The check digit, 5, is chosen so that this sum is 0, (mod 11). In other words, the check digit x for the book with ISBN number img is found by considering: ​ img ​ This means that for check digit x, img . The one-digit solution to this equation is img , so the check digit is 6. What is the check digit for the book with ISBN img ? ​ x = __________
Short Answer
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-Is the statement img true or false?
True False
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Assume that today is Monday (day 2). Determine the day of the week it will be at the end of the period at 155 days. (Assume no leap years.)
Short Answer
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