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# Nature of Mathematics

Mathematics

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## Quiz 5 : The Nature of Numbers

Solve the equation for x. ​
Free
Multiple Choice

B

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

C

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

D

Is the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} a group for multiplication modulo 11? ​ ​
Multiple Choice
Solve the equation for x. ​
Multiple Choice
Perform the operation. ​ ​
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
Perform the operation. ​
Multiple Choice
Perform the operation using arithmetic for a 12-hour clock. ​
Multiple Choice
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
Perform the indicated operation. ​
Multiple Choice
-Is the statement true? ​
True False
Perform the operation using arithmetic for a 12-hour clock.
Perform the operation using arithmetic for a 12-hour clock.
Perform the indicated operations. ​ __________ ​ __________
Solve the equation for x. ​ ​ Assume that . If there is no solution, answer none. If you get several answers, enter one of them.
Essay