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10. Half a number plus 5 is 11. What is the number? (apply Polya's problem solving strategy)

10. Half a number plus 5 is 11. What is the number? (apply Polya's problem solving strategy)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. FORMULA: A= Pe^rt. Substitute the given values in the formula below to find the missing quantity. P = 680,000; r = 12%; t = 8 years. 2. With the use of variables, rewrite the statement: "All real numbers have a squares that are not equal to -1" 3. Let A = {1, 2, 3, 4} and B= {O, 1}. Determine the cartesian products; A X B, BX A, A X A, and BX B. 4. Use inductive or deductive reasoning to show that the following procedure always produces a number that is equal to the original number: *Pick a number, multiply the number by 6 and add 8. Divide the sum by 2, subtract twice the original number, and subtract 4.* 5. The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. The ages of the two teenagers are 13 and 15. The ages of the younger children are 5 and 7. From the following clues determine the ages of each of the children. 6. Use a difference table to predict the next term of the sequence: -4, -1, 14, 47, 104, 191, 314 7. What is the 44th decimal digit in the decimal representation of 1/11? (apply Polya's problem solving strategy) Add File 8. A room measures 12 feet by 15 feet. How many 3-foot by 3-foot carpet are needed to cover the room? (apply Polya's problem solving strategy) Add File 9. Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old are they? (apply Polya's problem solving strategy) 10. Half a number plus 5 is 11. What is the number? (apply Polya's problem solving strategy)
Transcribed Image Text:1. FORMULA: A= Pe^rt. Substitute the given values in the formula below to find the missing quantity. P = 680,000; r = 12%; t = 8 years. 2. With the use of variables, rewrite the statement: "All real numbers have a squares that are not equal to -1" 3. Let A = {1, 2, 3, 4} and B= {O, 1}. Determine the cartesian products; A X B, BX A, A X A, and BX B. 4. Use inductive or deductive reasoning to show that the following procedure always produces a number that is equal to the original number: *Pick a number, multiply the number by 6 and add 8. Divide the sum by 2, subtract twice the original number, and subtract 4.* 5. The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. The ages of the two teenagers are 13 and 15. The ages of the younger children are 5 and 7. From the following clues determine the ages of each of the children. 6. Use a difference table to predict the next term of the sequence: -4, -1, 14, 47, 104, 191, 314 7. What is the 44th decimal digit in the decimal representation of 1/11? (apply Polya's problem solving strategy) Add File 8. A room measures 12 feet by 15 feet. How many 3-foot by 3-foot carpet are needed to cover the room? (apply Polya's problem solving strategy) Add File 9. Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. How old are they? (apply Polya's problem solving strategy) 10. Half a number plus 5 is 11. What is the number? (apply Polya's problem solving strategy)
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