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# Recent problems solved by 'algebrahouse.com'

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 Travel_Word_Problems/537374: how long would it take you to walk somewhere if it takes 10 minutes to drive there at 35 miles an hour1 solutions Answer 352835 by algebrahouse.com(1079)   on 2011-11-27 18:35:57 (Show Source): You can put this solution on YOUR website!Well, if you can walk 35 miles an hour......then 10 minutes. You have to know the speed of the person walking. www.algebrahouse.com
 expressions/537372: -(z+89)= find the equivalent expression without parenteses1 solutions Answer 352834 by algebrahouse.com(1079)   on 2011-11-27 18:34:44 (Show Source): You can put this solution on YOUR website!- (z + 89) = - z - 89 {distributed the negative sign through the parentheses} www.algebrahouse.com
 Expressions-with-variables/537370: 6s-2t=10 and s-5t=14, what is the value of 5s + 3t?1 solutions Answer 352833 by algebrahouse.com(1079)   on 2011-11-27 18:33:18 (Show Source): You can put this solution on YOUR website!6s - 2t = 10 s - 5t = 14 ------------- 5s + 3t = - 4 {subtracted the two equations} www.algebrahouse.com
 Human-and-algebraic-language/537366: Please help! Im stuck on another word problem and cant figure it out. Pizzazz Publications is having some books printed. The printer charges \$800 plus \$5 per book. How many books can be printed for \$4000? Please reply!1 solutions Answer 352832 by algebrahouse.com(1079)   on 2011-11-27 18:30:47 (Show Source): You can put this solution on YOUR website!"Pizzazz Publications is having some books printed. The printer charges \$800 plus \$5 per book. How many books can be printed for \$4000?" x = number of books 800 + 5x = 4000 {charges 800 plus 5 per book equals 4000} 5x = 3200 {subtracted 800 from both sides} x = 640 {divided both sides by 5} 640 books can be printed www.algebrahouse.com
 Travel_Word_Problems/537358: Two scooters travel from the same point in the same direction, leaving at the same time. The faster scooter travels at twice the speed of the slower scooter. After three seconds, the faster scooter has traveled 6 feet more than the slower scooter. What is the speed of each scooter?1 solutions Answer 352831 by algebrahouse.com(1079)   on 2011-11-27 18:27:14 (Show Source): You can put this solution on YOUR website!"Two scooters travel from the same point in the same direction, leaving at the same time. The faster scooter travels at twice the speed of the slower scooter. After three seconds, the faster scooter has traveled 6 feet more than the slower scooter. What is the speed of each scooter? Distance = rate x time D = rt slower scooter r = r t = 3 {after 3 seconds} D = 3r {distance = rate x time} faster scooter r = 2r {twice the slower scooter} t = 3 {after 3 seconds} D = 6r {distance = rate x time} After 3 seconds the faster scooter was 6 feet in front of slower scooter: 3r + 6 = 6r {slower scooter distance plus 6 = faster scooter distance} 6 = 3r {subtracted 3r from both sides} r = 2 {divided both sides by 3} 2r = 4 {substituted 2, in for r, into 2r} slower scooter's speed is 2 faster scooter's speed is 4 www.algebrahouse.com
 Numeric_Fractions/537353: -36uv ____= have to simplift this into a fraction 117uv1 solutions Answer 352828 by algebrahouse.com(1079)   on 2011-11-27 18:19:29 (Show Source): You can put this solution on YOUR website!-36uv ------- 117uv - 4 ---- {reduced 36 and 117...9 goes into both, also cancelled uv on top and bottom} 13 www.algebrahouse.com
 test/537351: What would my percentage be if I got 8 wrong out of 43 questions?1 solutions Answer 352827 by algebrahouse.com(1079)   on 2011-11-27 18:17:15 (Show Source): You can put this solution on YOUR website!8 wrong out of 43 means 35 right out of 43 35 ---- ≈ .814 {divided} 43 ≈ 81.4% {changed decimal to percent by moving decimal point right two places} www.algebrahouse.com
 Polynomials-and-rational-expressions/536982: Add the following: (3x^2-5x+5)+(-x^2+2x-7)1 solutions Answer 352675 by algebrahouse.com(1079)   on 2011-11-26 22:35:52 (Show Source): You can put this solution on YOUR website!(3x² - 5x + 5) + (-x² + 2x - 7) = 3x² - 5x + 5 - x² + 2x - 7 {took out parentheses} = 2x² - 3x - 2 {combined like terms} www.algebrahouse.com
 test/536958: If a number is triple and then decrease by 82, the result is the sum of six times the number and forty-four. Find the number. 1 solutions Answer 352665 by algebrahouse.com(1079)   on 2011-11-26 21:27:52 (Show Source): You can put this solution on YOUR website!"If a number is triple and then decrease by 82, the result is the sum of six times the number and forty-four. Find the number." x = the number 3x - 82 = 6x + 44 {number is tripled and decreased by 82 equals the sum of six times number and 44} -82 = 3x + 44 {subtracted 3x from both sides} -126 = 3x {subtracted 44 from both sides} x = -42 {divided both sides by 3} the number is - 42 www.algebrahouse.com
 test/536682: Alma traveled 324 miles to vist her grandmother. Kevin traveled 5 times as far to see his uncle. About how many miles did kevin travel1 solutions Answer 352530 by algebrahouse.com(1079)   on 2011-11-25 23:15:55 (Show Source): You can put this solution on YOUR website!"Alma traveled 324 miles to vist her grandmother. Kevin traveled 5 times as far to see his uncle. About how many miles did kevin travel" Alma traveled 324 miles Kevin trabeled 5 times that 324 x 5 ---- 1620 miles {multiplied} www.algebrahouse.com
 Geometry_Word_Problems/536672: The area of a rectangular wall in a classroom is 165 square feet. Its length is 4 feet longer than its width. Find the width of the wall of the classroom.1 solutions Answer 352523 by algebrahouse.com(1079)   on 2011-11-25 22:59:20 (Show Source): You can put this solution on YOUR website!"The area of a rectangular wall in a classroom is 165 square feet. Its length is 4 feet longer than its width. Find the width of the wall of the classroom." x = width x + 4 = length {the length is 4 longer than the width} Area of a rectangle = width x length x(x + 4) = 165 {area of a rectangle is width x length} x² + 4x = 165 {used distributive property} x² + 4x - 165 = 0 {subtracted 165 from both sides} (x + 15)(x - 11) = 0 {factored into two binomials} x + 15 = 0 or x - 11 = 0 {set each factor equal to 0} x = -15 or x = 11 {subtracted 15 and added 11} x = 11 {width of a rectangle cannot be negative} width = 11 ft www.algebrahouse.com
 Age_Word_Problems/536667: Serena's father is twenty-six years older than serena. In ten years, the sum of the ages will be eighty. What are their present ages? Please Help Thank you.1 solutions Answer 352515 by algebrahouse.com(1079)   on 2011-11-25 22:07:23 (Show Source): You can put this solution on YOUR website!"Serena's father is twenty-six years older than serena. In ten years, the sum of the ages will be eighty. What are their present ages?" x = Serena's age now x + 26 = father's age now x + 10 = Serena's age in 10 years x + 36 = father's age in 10 years {added 10 on to each one} x + 10 + x + 36 = 80 {in ten years the sum of the ages will be 80} 2x + 46 = 80 {combined like terms} 2x = 34 {subtracted 46 from both sides} x = 17 {divided both sides by 2} x + 26 = 43 {substituted 17, in for x, into x + 26} Serena is 17 her father is 43 www.algebrahouse.com
 percentage/536665: Of the 294 million people in the United States, 26% are smokers. How many are smokers?1 solutions Answer 352510 by algebrahouse.com(1079)   on 2011-11-25 21:39:53 (Show Source): You can put this solution on YOUR website!"Of the 294 million people in the United States, 26% are smokers. How many are smokers?" 26% of 294 = 294 x (.26) {changed 26% to a decimal and multiplied by 294} = 76.44 {multiplied} Approximately 76 are smokers. www.algebrahouse.com
 Finance/536424: eighteen is what percent of 60?1 solutions Answer 352336 by algebrahouse.com(1079)   on 2011-11-24 19:56:11 (Show Source): You can put this solution on YOUR website!eighteen is what percent of 60? 18 --- 60 = .3 {divided} = 30% {changed decimal to percent by moving decimal point right two places} www.algebrahouse.com
 Numbers_Word_Problems/536249: the sum of two consecutive odd numbers is 20. find the numbers.1 solutions Answer 352218 by algebrahouse.com(1079)   on 2011-11-23 21:22:56 (Show Source): You can put this solution on YOUR website!"the sum of two consecutive odd numbers is 20. find the numbers." x = 1st odd integer x + 2 = 2nd odd integer x + x + 2 = 20 {the sum of the two is 20} 2x + 2 = 20 {combined like terms} 2x = 18 {subtracted 2 from both sides} x = 9 {divided both sides by 2} x + 2 = 11 {substituted 9, in for x, into x + 2} 9 and 11 are the two consecutive odd integers www.algebrahouse.com
 Age_Word_Problems/536222: marks dad is 3 times as old as mark . The sum of their ages is 48 , how old is mark?1 solutions Answer 352202 by algebrahouse.com(1079)   on 2011-11-23 20:20:57 (Show Source): You can put this solution on YOUR website!"marks dad is 3 times as old as mark . The sum of their ages is 48 , how old is mark?" x = Mark's age 3x = Mark's dad's age {Mark's dad is 3 times Mark} x + 3x = 48 {sum of ages is 48} 4x = 48 {combined like terms} x = 12 {divided both sides by 4} Mark is 12 www.algebrahouse.com
 Equations/536082: Algebra Whats 4g-g=1 solutions Answer 352117 by algebrahouse.com(1079)   on 2011-11-23 10:58:48 (Show Source): You can put this solution on YOUR website!If you had 4 goats - 1 goat .....how many goats would you have? 4g - g = 3g {combined like terms} www.algebrahouse.com
 Polynomials-and-rational-expressions/536075: Which values of b will make the expression x^2 + bx+400 a perfect square trinomial? a. -80,80 b.-40,40 c.-100,100 d.-20,20 my wrong choice was d. which is the answer...? thx!1 solutions Answer 352116 by algebrahouse.com(1079)   on 2011-11-23 10:57:49 (Show Source): You can put this solution on YOUR website!"Which values of b will make the expression x^2 + bx+400 a perfect square trinomial?" a. -80,80 b.-40,40 c.-100,100 d.-20,20 B. is the answer x² + 40x + 400 = (x + 20)(x + 20) {when factored} or (x - 20)(x - 20) www.algebrahouse.com
 Equations/534427: Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. -8/(4x-20) Rational expression in lowest terms: Variable restrictions: 1 solutions Answer 351513 by algebrahouse.com(1079)   on 2011-11-19 22:49:23 (Show Source): You can put this solution on YOUR website!Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. -8 ------- 4x - 20 -8 -------- {factored 4 out of bottom} 4(x - 5) -2 ------- {cancelled -8 and 4} x - 5 Restrictions on variable would be those that make the denominator equal to 0. Variable restriction: x cannot be equal to 5 {that would make denominator 0} www.algebrahouse.com
 real-numbers/534420: how do you show that 3 is rational by expressing it as a ratio of two integers 1 solutions Answer 351511 by algebrahouse.com(1079)   on 2011-11-19 22:45:22 (Show Source): You can put this solution on YOUR website!3 = 3/1 {wrote 3 as a fraction} www.algebrahouse.com
 test/531329: what is (+36) divide a by (-6)??1 solutions Answer 350418 by algebrahouse.com(1079)   on 2011-11-14 12:34:47 (Show Source): You can put this solution on YOUR website!36 ÷ (-6) = -6 {dividing a positive by a negative equals a negative} www.algebrahouse.com
 test/531332: Each edge of a cube is 3cm long. What is the volume of the cube??1 solutions Answer 350417 by algebrahouse.com(1079)   on 2011-11-14 12:33:18 (Show Source): You can put this solution on YOUR website!Volume of a cube is (one edge)³ V = s³ {s is the edge or side of a cube} V = (3cm)³ {substituted 3 in for s} V = 27 cm³ {cubed the 3} www.algebrahouse.com
 Problems-with-consecutive-odd-even-integers/531255: find an expression for the sum of five consecutive even integers 1 solutions Answer 350391 by algebrahouse.com(1079)   on 2011-11-14 10:30:40 (Show Source): You can put this solution on YOUR website!Even integers increase by two each time x = 1st even integer x + 2 = 2nd even integer x + 4 = 3rd even integer x + 6 = 4th even integer x + 8 = 5th even integer x + x + 2 + x + 4 + x + 6 + x + 8 {added all even integers} = 5x + 20 {combined like terms} www.algebrahouse.com
 Permutations/531258: A box can hold 4 books. How many books can 5 boxes hold?1 solutions Answer 350390 by algebrahouse.com(1079)   on 2011-11-14 10:28:15 (Show Source): You can put this solution on YOUR website!4 books in 1 box 4 x 5 = 20 books in 5 boxes {multiplied} www.algebrahouse.com
 Complex_Numbers/530653: how to factor 3x^2-22x+401 solutions Answer 350181 by algebrahouse.com(1079)   on 2011-11-13 09:27:53 (Show Source): You can put this solution on YOUR website!3x² - 22x + 40 = 3x² - 12x - 10x + 40 {factoring by grouping, split -22x into -12x and -10x} = 3x(x - 4) - 10(x - 4) {factored 3x out of 1st two terms and -10 out of last two} = (3x - 10)(x - 4) {factored x - 4 out of the two terms} www.algebrahouse.com
 Numeric_Fractions/530553: 6 times 7 2/51 solutions Answer 350139 by algebrahouse.com(1079)   on 2011-11-12 21:16:50 (Show Source): You can put this solution on YOUR website!6 x 7 2/5 = 6/1 x 37/5 {changed to improper fractions} = 222/5 {multiplied, horizontally, through numerators and denominators} = 44 2/5 {changed to mixed number} www.algebrahouse.com
 Distributive-associative-commutative-properties/530545: use the Foil method to find the product: (6x^7-6)(x^9-1)1 solutions Answer 350130 by algebrahouse.com(1079)   on 2011-11-12 21:01:11 (Show Source): You can put this solution on YOUR website!(6x^7 - 6)(x^9 - 1) = 6x^7(x^9) + 6x^7(-1) - 6(x^9) - 6(-1) {used foil method} = 6x^16 - 6x^7 - 6x^9 + 6 {multiplied through, adding exponents when multiplying} = 6x^16 - 6x^9 - 6x^7 + 6 {combined like terms} www.algebrahouse.com
 Age_Word_Problems/530541: Max is 5 years old than Paul. Next year, Max will be twice as old as Paul. How old are they now? Show equation and check.1 solutions Answer 350120 by algebrahouse.com(1079)   on 2011-11-12 20:50:24 (Show Source): You can put this solution on YOUR website!"Max is 5 years old than Paul. Next year, Max will be twice as old as Paul. How old are they now? Show equation and check." x = Paul's age now x + 5 = Max's age now x + 1 = Paul's age next year x + 6 = Max's age next year x + 6 = 2(x + 1) {next year, Max will be twice as old as Paul} x + 6 = 2x + 1 {used distributive property} 6 = x + 1 {subtracted x from both sides} x = 5 {subtracted 1 from both sides} x + 5 = 10 {substituted 5, in for x, into x + 5} Paul is 5 now Max is 10 now www.algebrahouse.com
 Trigonometry-basics/530528: How do I reduce the fraction (4x+3)/(20x^2+23x+6) to simplest form, and include any restrictions on x?1 solutions Answer 350116 by algebrahouse.com(1079)   on 2011-11-12 20:45:06 (Show Source): You can put this solution on YOUR website!4x + 3 --------------- 20x² + 23x + 6 4x + 3 ----------------- {factored bottom into two binomials} (4x + 3)(5x + 2) 1 ------ {cancelled 4x + 3 on top and bottom} 5x + 2 Restrictions on x, would be those that would make the denominator equal to 0. 5x + 2 = 0 {set denominator equal to 0} 5x = -2 {subtracted 2 from both sides} x = -2/5 {divided both sides by 5} Therefore x cannot be -2/5 www.algebrahouse.com
 Complex_Numbers/530026: Factor completely a^4-7a^2+101 solutions Answer 349857 by algebrahouse.com(1079)   on 2011-11-11 10:48:30 (Show Source): You can put this solution on YOUR website!a^4 - 7a^2 + 10 = (a^2 - 5)(a^2 - 2) {factored into two binomials} www.algebrahouse.com
 Numbers_Word_Problems/530017: One number is 2 more than 5 times another. Their product is 39. Find the numbers.1 solutions Answer 349852 by algebrahouse.com(1079)   on 2011-11-11 10:40:04 (Show Source): You can put this solution on YOUR website!"One number is 2 more than 5 times another. Their product is 39. Find the numbers." x = one number 5x + 2 = other number x(5x + 2) = 39 {their product is 39} 5x^2 + 2x = 39 {used distributive property} 5x^2 + 2x - 39 = 0 {subtracted 39 from both sides} (5x - 13)(x + 3) = 0 {factored into two binomials} 5x - 13 = 0 or x + 3 = 0 {set each factor equal to 0} 5x = 13 or x = -3 {added 13 and subtracted 3, respectively} x = 13/5 or x = -3 {divided first equation by 5} 5x + 2 = 15 or 5x + 2 = -13 {substituted 13/5 and -3, in for x} The numbers are: 13/5 and 15 and -3 and -13 www.algebrahouse.com