# Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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 Algebra: Real numbers, Irrational numbers, etc Solvers Lessons Answers archive Quiz In Depth

 Question 144459: PROBLEM: FIND THE EQUATION OF THE LINE THROUGH THE POINT (4,5) THAT IS PERPENDICULAR TO THE LINE 3x-4y=7. WRITE YOUR ANSWER IN STANDARD FORM AND GRAPH THE LINE. *** IN THIS PROBLEM I TRIED FOLLOWING THE BOOK BUT, IT JUST CONFUSED ME EVEN MORE... PLEASE SHOW ME EVERY STEP I NEED TO FOLLOW TO GET THIS COMPLETE ANSWER... THANKS :) Click here to see answer by t.kandeepan(2)

 Question 144874: is -22 a natural number, whole number, integer, rational number, irrational number or real number Click here to see answer by vleith(2825)

 Question 145005: How many real solutions are there to the equation shown below? x^2 + 3x + 10 = 0 Click here to see answer by stanbon(57250)
 Question 145005: How many real solutions are there to the equation shown below? x^2 + 3x + 10 = 0 Click here to see answer by jim_thompson5910(28504)

 Question 145275: L = {x I x is a letter in the keyword lovely} Click here to see answer by shahid(44)

 Question 145680: Solve the following compound inequality. Write the solution set in interval notation. x<-7 or x>10 Click here to see answer by jim_thompson5910(28504)

 Question 146129: I need help with some of the following questions as far as and explanation on how to do them I have the answers which will be at the bottom of the page of muliple choice questions. If it isnt to much trouble can u explain how to get these answers or at lease explain 4 over these different problems to me? Thank You Sincerely Louis Gordon-HayIII LGHIII 1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for \$306. How much did it originally cost? A. \$325 B. \$375 C. \$400 D. \$408 E. \$425 2. If y(x-1)=z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) E. 1-zy 3. Which of the following values is NOT equal to 34(58+9)? A. 34 x 67 B. 58(34+9) C. 34 x 58 + 34 x 9 D. 1,972 + 306 E. (9 + 58) 34 4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle? A. 50° B. 55° C. 60° D. 80° E. 90° 5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many ounces? A. 863 B. 878 C. 896 D. 915 E. 932 6. Which year did the most children take swimming lessons? A. 1990 B. 1991 C. 1992 D. 1994 E. 1995 7. Between which year did the largest decrease in children taking swimming lessons occur? A. 1990-1991 B. 1991-1992 C. 1992-1993 D. 1993-1994 E. 1994-1995 8. What was the average number of children taking swim lessons from 1990 to 1995? A. 250 B. 308 C. 385 D. 450 E. 1,850 9. Which of the following is equal to 5.93 x 10-2? A. 0.0593 B. 0.00593 C. 593 D. 5930 E. 59300 10. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns? A. 65 miles B. 84 miles C. 124 miles D. 138 miles E. 145 miles 11. Which of the following is a correct graph of x>1, x <4? A. Line A B. Line B C. Line C D. Line D E. Line E 12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed? A. 18 B. 24 C. 32 D. 36 E. 43 13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother? A. 10 B. 15 C. 20 D. 25 E. 30 14. Which of the following fractions is equal to 5/6? A. 20/30 B. 15/24 C. 25/30 D. 40/54 E. 2/7 15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost \$8.91 per square yard? A. \$224.51 B. \$237.60 C. \$246.55 D. \$271.38 E. \$282.32 16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives \$6,000? A. \$6,000 B. \$8,500 C. \$12,000 D. \$15,000 E. \$18,500 17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line? A. 50 feet B. 75 feet C. 120 feet D. 130 feet E. 150 feet 18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? A. 8.1 B. 8.3 C. 8.6 D. 8.9 E. 9.0 19. If edging cost \$2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost? A. \$32.48 B. \$64.96 C. \$97.44 D. \$129.92 E. \$194.88 20. If 3x=6x-15 then x + 8= A. 5 B. 10 C. 11 D. 12 E. 13 21. The number of milliliters in 1 liter is A. 10,000 B. 1,000 C. 0.1 D. 0.01 E. 0.001 22. The cost to ride on a ferry is \$5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is \$6.50, how many people were in the vehicle? A. 1 B. 2 C. 3 D. 4 E. 5 23. What is 1/9 of 9? A. 1/9 B. 0 C. 1 D. 2 E. 3 24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color? A. 3 B. 7 C. 8 D. 9 E. 11 25. Which fraction is equal to 0.20%? A. 1/20 B. 1/40 C. 1/50 D. 1/400 E. 1/500 26. Find the missing term in the following sequence: 4, 9, 19, __, 79 A. 36 B. 37 C. 38 D. 39 E. 40 27. How much money did Jessica's budget allow for housing in April of 2001? A. \$617.80 B. \$620.92 C. \$622.50 D. \$626.38 E. \$633.20 28. What was the average amount of money that Jessica's budget allowed for clothing the first six months of 2001? A. \$249.90 B. \$250.40 C. \$251.32 D. \$253.33 E. \$255.75 29. If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save? A. \$131.10 B. \$144.30 C. \$148.32 D. \$152.22 E. \$153.33 30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document? A. 5 minutes B. 10 minutes C. 15 minutes D. 18 minutes E. 20 minutes 31. Of the following fractions, which is less than 2/3? A. 7/8 B. 5/6 C. 3/4 D. 3/5 E. 5/7 32. A hockey team won 6 games and lost 8. What is the ratio of wins to number of games? A. 6/8 B. 8/6 C. 3/7 D. 8/14 E. 6/7 33. Sue receives a base salary of \$90 weekly plus a 12% commission on all sales. Sue had \$3,000 in sales this week. How much did she make total? A. \$375 B. \$450 C. \$480 D. \$510 E. \$525 34. If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the width? A. 16 feet B. 35 feet C. 37 feet D. 40 feet E. 42 feet 35. Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was \$15,000. The boat sold for how much? A. \$17,250.00 B. \$16,540.44 C. \$16,230.34 D. \$15,980.55 E. \$15,870.88 36. A recent study showed that an increase in body weight by 10 kilograms resulted in a 0.15% increase in heart disease. What fraction is equal to 0.15%? A. 3/2000 B. 2/750 C. 7/4000 D. 5/3462 E. 1/500 37. 6.334 x 104 = A. 0.0006334 B. 0.06334 C. 6334 D. 63340 E. 633400 38. If 3x + 5x = -8, then x + 1 = A. -2 B. -1 C. 0 D. 1 E. 2 39. Two angle in a triangle equal 120°. What is the measure of the third angle? A. 60° B. 70° C. 80° D. 90° E. 120° 40. Which of the following would be an appropriate unit to measure sugar for a cookie recipe? A. liters B. cups C. quarts D. kilograms E. pounds Answer Key 1. C 2. B 3. B 4. D 5. C 6. E 7. C 8. B 9. A 10. C 11. A 12. B 13. B 14. C 15. B 16. C 17. D 18. D 19. E 20. E 21. B 22. D 23. C 24. D 25. E 26. D 27. C 28. E 29. A 30. B 31. D 32. C 33. B 34. A 35. A 36. A 37. D 38. C 39. A 40. B Click here to see answer by edjones(7569)

 Question 146244: find x and y 2x + 3y = 6 3x - 4y = -3 Click here to see answer by checkley77(12569)

 Question 146345: Which of the following is not a rational number? a. -4 b. 1/5 c. 0.833333333.......... d. 0.45 e. squareroot 2 Click here to see answer by aswathytony(47)

 Question 147374: Problem: To save the environment, the Lion’s Den Cafeteria sells an empty reusable 24-ounce plastic mug to students for \$2.99. Using the mug, a student can get a 24-ounce soft drink for a reduced price of 69 cents. (1) If a student buys the mug and uses it only once, then what is the cost for that one drink? Click here to see answer by stanbon(57250)

 Question 147435: To solve for b in this formula, the first step is to? A= A+B+C/3 Click here to see answer by nerdybill(6951)

 Question 147436: Solve for " h " A=1/2 bh Thanks Click here to see answer by nerdybill(6951)

 Question 147434: E=MC SQUARED To solve for " m " in the formula shown above, you should: Click here to see answer by nerdybill(6951)

 Question 147433: Hi I need the steps for this P = 2W + 2L. To solve for " W " in this formula, which steps should be followed? Thanks :) Click here to see answer by nerdybill(6951)

 Question 147438: Distance = rate * time In the equation D = r * t, to solve for "r", one should: Click here to see answer by nerdybill(6951)

 Question 147439: The formula to find the area of a triangle is: A= 1/2 Bh To solve for " h " in this formula, the first step is to: Click here to see answer by Earlsdon(6287)

 Question 147525: Is this true or false? 3/5 = 36/60 need help :) Thanks Click here to see answer by stanbon(57250)

 Question 147523: I need help with this A Go-ped traveled 9 miles in 24 minutes. How long would it take to go 27 miles? Click here to see answer by stanbon(57250)

 Question 147522: Hi I need help with this problem The depth of a pool varies directly with how many gallons of water it will hold. If a 6 foot deep pool holds 10,000 gallons of water, a pool that holds 12,500 gallons of water should be __________inches deep, according to this theory. Thanks Click here to see answer by stanbon(57250)

 Question 147872: Is -22 a: Natural Number Real Number Interger Rational Number Irrational Number Real Number My answer: real number,whole number and an interger Click here to see answer by stanbon(57250)

 Question 147884: 11/x > 12 find x? how to do this the symbol '>' implies that 'more than'... Click here to see answer by nerdybill(6951)

 Question 147885: (3-2x)/(4+5x) > 12/x find x? the symbol'>' implies that 'more than'. Click here to see answer by stanbon(57250)

 Question 148052: hasan buys two kinds of cloth materials for school uniforms,shirt material that costs him RS 50 per meter adn trouser material that costs him Rs 90 per meter.for every 2 meters of trouser material he buys 3 meters of shirt material. he sells the materials at 12% and 10% profit respectively. his total sale is Rs 36,660.how much trouser material did he buy? Click here to see answer by stanbon(57250)

 Question 148540: if you worked 8 hours and earned 66\$ and you needed 165\$ how many hours would you need to work for? Click here to see answer by mangopeeler07(462)

 Question 148545: what is the length of one side of a square that has an area of 289 in^2? Click here to see answer by Edwin McCravy(8882)

 Question 148544: which of the following measurements would most likely to have a negative exponent in scientific notation? the distance the earth is from the sun in meters. the length of a needle in millimeters. the length of a football field in inches. or the length of an nmoeba in meters? Click here to see answer by scott8148(6628)

 Question 148549: if someone wanted an average grade of 90 and they base the grade on 4 tests and the first 3 scores were 84 93 and 88 what would the last test score grade have to be to get a total average of 90? 85 88 92 or 95 Click here to see answer by mangopeeler07(462)

 Question 148543: if a kid takes 4 tests and it is his average grade and he wants to score a 90 and his first 3 test grades were 84, 93, and 88 what would the last test score be to get an average of 90? Click here to see answer by mangopeeler07(462)

 Question 149151: Solve u – 11 < 3u – 17 Click here to see answer by mangopeeler07(462)

 Question 149085: I'm not sure if this problem is in the right section, but my teacher says that this problem pertains to real numbers. Find a value of "y" for which the expression "(1 - y)(3 - y)(6 - y) = 18" becomes true. Many thanks in advance. Click here to see answer by nerdybill(6951)

 Question 150088: the value of the expression 3910 + 0.25 (X-28,400) is the 2003 federal income tax for a single taxpayer with taxable income of x dollars, where x is over \$28, 400 but not over \$68,000. What is the amount of tax for a single taxpayer with taxable income os \$40,000? Click here to see answer by nerdybill(6951)

 Question 150106: please help me with this question_(explain why pie is an irrational number.)I have tried to give the following expanation: pie is an irrational number because it can not be written in the form a/b where b equal not 0.its decimal expantion neigther repeat nor terminate. Click here to see answer by stanbon(57250)