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Recent problems solved by 'edjones'

edjones answered: 7568 problems
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Polynomials-and-rational-expressions/204948: Multiply [3a-(2a-3)][3a+(2a-3)] 1 solutions Answer 154808 by edjones(7569)   on 2009-08-02 00:49:40 (Show Source): You can put this solution on YOUR website! [3a-(2a-3)][3a+(2a-3)] =(3a-2a+3)(3a+2a-3) =(a+3)(5a-3) =5a^2+12a-9 . Ed

Rate-of-work-word-problems/205010: Pls help me! super urgent! 1. twenty-four more than thrice a number is five times the number. What is the unknown quantity? 2. Cora is six years older than five times the age of her grandson Ogie. If the sum of their ages is 114, find the age of each. 3. Fourteen years from now, Issa will be thrice her age six years ago. How old is Issa at present? 4. Mylene deposited $70,000 in IMPOK savings bank and $50,000 in TIPID bank. IMPOK savings Bank pays an interest that is 2% greater than that which Tipid Bank Pays. After a year Mylene earns an interest of $11,000. What rate of interest does each bank pays? 5. The ten's digit of a three-digit number is two less than the hundred's digit while the one's digit is three more than the ten's digit. If the sum of the digits is one less than four times the ten's digit, what is the number? 6. A piggy bank has 26 coins in fifty centavos and one-peso denominations. The value of 50-centavo coins is 30% of the total content of money in the piggy bank. How many of each coin are there? 1 solutions Answer 154806 by edjones(7569)   on 2009-08-02 00:42:03 (Show Source): You can put this solution on YOUR website! 1) Let x be the unknown quantity 3x+24=5x -2x=-24 x=12 . Ed

Quadratic_Equations/205031: how would i solve the quadratic equation F(2)=2t^2-4t-1? 1 solutions Answer 154804 by edjones(7569)   on 2009-08-02 00:37:23 (Show Source): You can put this solution on YOUR website! f(2) means that t=2 2*2^2-4*2-1 =8-8-1 =-1 . Ed

Radicals/205060: Equations involving radicals solve each equation and check for extraneious soulutions: 3√w+1=6 1 solutions Answer 154803 by edjones(7569)   on 2009-08-02 00:30:36 (Show Source): You can put this solution on YOUR website! 3sqrt(w+1)=6 sqrt(w+1)=2 w+1=4 Square each side. w=3 . Ed

Age_Word_Problems/205069: karen is twice as old as marie.four years from now,the sum of their ages will be 44.how old is karen? 1 solutions Answer 154802 by edjones(7569)   on 2009-08-02 00:18:12 (Show Source): You can put this solution on YOUR website! Let k=karen's age now & m=marie's age. k=2m k+4+m+4=44 2m+4+m+4=44 substitute 2m for k 3m+8=44 3m=36 m=12 k=24 . Ed

Average/204775: How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? 1 solutions Answer 154664 by edjones(7569)   on 2009-07-31 00:50:28 (Show Source): You can put this solution on YOUR website! nCr Combination because arrangement is not important. =n!/[(n-r)!r!] =15!/[(15-6)!6!] =(15*14*13*12*11*10*9!)/(9!6!) =(15*14*13*12*11*10)/(6*5*4*3*2) =5005 . Ed

Quadratic_Equations/204793: Solve x^2+18x+32+=226 1 solutions Answer 154663 by edjones(7569)   on 2009-07-31 00:38:46 (Show Source): You can put this solution on YOUR website! x^2+18x+32=226 x^2+18x-194=0 x=-9+5sqrt(11), x=-9-5sqrt(11) See below. . Ed . Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=1100 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.583123951777, -25.583123951777. Here's your graph:

Functions/204876: This question is from textbook College Algebra Find the domain of the function and identify and asymptotes. y=2/4-x 1 solutions Answer 154662 by edjones(7569)   on 2009-07-31 00:26:27 (Show Source): You can put this solution on YOUR website! y=2/(4-x) Assuming that this is the problem. . The domain is all real numbers except x=4 because division by zero is not allowed. There is a vertical asymptote at x=4. There is a horizontal asymptote at y=0 because x in the denominator is a higher degree than x in the numerator. . Ed . .

Miscellaneous_Word_Problems/204913: In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many wil he have to take out of his pocket to ensure that he has taken out at least one of each color? 1 solutions Answer 154660 by edjones(7569)   on 2009-07-31 00:15:01 (Show Source): You can put this solution on YOUR website! 9 before he can be sure he has a red one.

Inequalities/204908: Please help me solve this inequality !4x-3!<5 The < has a line below it... 1 solutions Answer 154659 by edjones(7569)   on 2009-07-31 00:11:08 (Show Source): You can put this solution on YOUR website! !4x-3!<=5 . 4x-3<=5 4x<=8 x<=2 . 4x-3>=-5 4x>=-2 x>=-1/2 . Ed

Equations/204816: This question is from textbook Longman Mathematics for IGCSE Sophie sets off on awalk at 6km/h. Ten minutes later, her brother Dave sets off after her on his bicycle at 15km/h. How far must Dave go to catch up with Sophie? 1 solutions Answer 154593 by edjones(7569)   on 2009-07-30 11:56:42 (Show Source): You can put this solution on YOUR website! d=st For sophie: 6* 1/6 = 1 km she is ahead of dave when he starts. Dave is traveling 9km faster than she. 9t=1 t=1/9 h to catch up to her 15 * 1/9 = 15/9 km distance dave must travel to catch up. . Ed

Probability-and-statistics/204807: Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the first card drawn was a spade? I got so far that there are 13/52 and then you take away one giving you 12/52 and then I am lost. 1 solutions Answer 154581 by edjones(7569)   on 2009-07-30 02:33:52 (Show Source): You can put this solution on YOUR website! Since the first is a spade the probability that the second is a spade is 12/51. . Ed

Probability-and-statistics/204800: At an annual flower show, 7 different entries are to be arranged in a row. a) How many different arrangements of the entries are possible? b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded? 1 solutions Answer 154580 by edjones(7569)   on 2009-07-30 00:44:58 (Show Source): You can put this solution on YOUR website! a) nP = n! 7P = 7! =7*6*5*4*3*2 =5040 . b) nCr = n!/[(n-r)!*r!] because arrangement is not important 7C3 = 7!/(7-3)!*3! =( 7*6*5*4!)/(4!*3!) =(7*6*5)/(3*2) =35 ways . Ed

Inequalities/203691: I need some help on answering this problem and I need to show my work. The inequality problem is 3(x+6)-4>2(x+4) 1 solutions Answer 153705 by edjones(7569)   on 2009-07-21 01:24:57 (Show Source): You can put this solution on YOUR website! 3(x+6)-4>2(x+4) 3x+18-4>2x+8 x>-6 . Ed

Quadratic_Equations/203721: Is x^2 = 0 a quadratic equation? 1 solutions Answer 153704 by edjones(7569)   on 2009-07-21 01:19:28 (Show Source): You can put this solution on YOUR website! yes

Linear_Equations_And_Systems_Word_Problems/203710: Cashews sell for $1.20 per quarter-pound and Brazil nuts sell for $1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to get a mix that sells for $1.30 per quarter-pound? 1 solutions Answer 153703 by edjones(7569)   on 2009-07-21 01:18:00 (Show Source): You can put this solution on YOUR website! Cost/lb cashews 1.2*4=4.8/lb B nuts 1.5*4=6.0/lb mixture 1.3*4=5.2/lb . Let x=lbs of cashews 20*6=120 4.8*x=4.8x 5.2*(x+20)=5.2x+104 . 120+4.8x=5.2x+104 .4x=16 x=40 lbs . Ed

Equations/203226: Please Help me!! Hi I desperately need help...the directions to this problem is to simplify (xy^7)(x^4y)/(x^5y^2) and i need help,, the directions are to add: x-3/ x^2+7x+12 and i need help with solving this quadratic: x^2-5x-1=0 if you can help me with explaining these topics in detail I would greatly appreciate your effort! Thank You!! 1 solutions Answer 153336 by edjones(7569)   on 2009-07-16 01:14:36 (Show Source): You can put this solution on YOUR website! (xy^7)(x^4y)/(x^5y^2) when multiplying add exponents; when dividing subtract them. =(x^5y^11)/(x^5y^2) =y^9 . x-3/ x^2+7x+12 =(x-3)/(x+3)(x+4) . x^2-5x-1=0 x^2-5x =1 x^2-5x+6.25=6.25+1 Complete the square. (x-2.5)^2=7.25 x-2.5=+-sqrt(7.25) sqrt of each side x=2.5+sqrt(7.25), x=2.5-sqrt(7.25) . Ed

Angles/203220: What is the area and circumference of a circle with diameter 22 mm? (Give exact solutions. Include correct units with each!) 1 solutions Answer 153334 by edjones(7569)   on 2009-07-15 23:53:26 (Show Source): You can put this solution on YOUR website! d=22, r =11 . A=pi*11^2=121pi mm^2 C=22pi mm . There cannot be an "exact" answer because pi is an irrational number, a number that cannot be expressed as a fraction. . Ed

Radicals/203233: What is the square root of 81, c to the 5th, d to the 4th? 1 solutions Answer 153333 by edjones(7569)   on 2009-07-15 23:44:53 (Show Source): You can put this solution on YOUR website! sqrt(81c^5d^4) =9c^(5/2)d^2 . Ed

Triangles/203234: This question is from textbook Algerbra 2 with Trigonometry The second angle of a triangle is four times the first and the third is 5 degress more than twice the first. Find the measures of the angles? 1 solutions Answer 153331 by edjones(7569)   on 2009-07-15 23:41:50 (Show Source): You can put this solution on YOUR website! let a=1st angle, b the 2nd and c the third. b=4a c=2a+5 a+4a+2a+5=180 7a+5=180 7a=175 a=25 deg. b=100 deg. c=55 deg . Ed

Linear-systems/203227: How do we write the equation of a horizontal line? What would be an example? 1 solutions Answer 153330 by edjones(7569)   on 2009-07-15 23:34:19 (Show Source): You can put this solution on YOUR website! y=mx+b Slope intercept form of an equation of a line. m=slope. In the case of a horizontal line m=0 So, y=b if m=0 irrespective of the value of x. . Below is the graph of y=mx+2.5 when m=0 . Ed .

Rational-functions/202579: Solve the equation for x. Do not include "x =" in your answer. 3+squareroot sign over 2x+4 = 7 1 solutions Answer 152788 by edjones(7569)   on 2009-07-09 19:05:48 (Show Source): You can put this solution on YOUR website! 3+sqrt(2x+4)=7 sqrt(2x+4)=4 2x+4=16 2x=12 x=6 . Ed

Polynomials-and-rational-expressions/202581: what is 15xy-14xy = 1 solutions Answer 152781 by edjones(7569)   on 2009-07-09 18:47:17 (Show Source): You can put this solution on YOUR website! 15xy-14xy =xy

Exponents-negative-and-fractional/201778: On a practice test that I took it said that the equation of A^-3 B^1/3 A^3/4 B^3 = B^10/9 ------- A^ 9/4 I want to know how that is the correct answer 1 solutions Answer 152026 by edjones(7569)   on 2009-07-02 01:39:20 (Show Source): You can put this solution on YOUR website! a^(-3)b^(1/3)a^(3/4)b^3a^(-9/4) =a^((-12/4)+(3/4)-(9/4))b(1/3)+(9/3) =a^(-18/4)b^(10/3) . b^10/9 would be correct if the denominator was a^(-9/4) instead of a^(9/4) Check the original practice test to see if you made an error copying it. . Ed

Equations/201284: 2x-1/2x+1 = 3x+2/3x+2 1 solutions Answer 151517 by edjones(7569)   on 2009-06-26 20:00:14 (Show Source): You can put this solution on YOUR website! (2x-1)/(2x+1) =( 3x+2)/(3x+2) Assuming that this is the problem (2x-1)/(2x+1)=1 2x-1=2x+1 0=2 the equation is false. . Ed

Rectangles/201289: The ratio of the areas of two squares is 6:1. find the corresponding ratio of the lengths of the diagonals of the two squares ? 1 solutions Answer 151514 by edjones(7569)   on 2009-06-26 19:45:46 (Show Source): You can put this solution on YOUR website! Let s=length of a side and A=area s^2=A when s=1 then area=1 when s=sqrt(6) the area=6 The length of the diagonals can be found using a^2+b^2=c^2 1+1=2 diagonal =sqrt(2) 6+6=12 diagonal = sqrt(12) =sqrt(4*3) =2sqrt(3) The ratio of the lengths of the diagonals is 2sqrt(3):sqrt(2) . Ed

Linear-equations/200981: Could you help? x^4-9x^2-22= 1 solutions Answer 151219 by edjones(7569)   on 2009-06-24 00:28:17 (Show Source): You can put this solution on YOUR website! x^4-9x^2-22 =(x^2-11)(x^2+2)

Complex_Numbers/200449: Wich of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? A. –6x2 + 25x + 6 B. 6x2 + 5x + 6 C. 6x2 – 5x + 6 D. 6x2 – 5x – 6 E. 6x2 – 13x – 6 1 solutions Answer 150812 by edjones(7569)   on 2009-06-18 19:16:29 (Show Source): You can put this solution on YOUR website! (2x-3)(3x+2) =6x^2-5x-6 . Ed

Expressions-with-variables/200547: If Sam and odel were telling pizzas and sam sold half as many pizzas as odel and together they sold 126 pizzas. How many pizzas did sam sell? (That is the question] i tried multipying "x(x/2)=126" but the answer didnt come out right. how would you set this equation up to solve the problem ? 1 solutions Answer 150808 by edjones(7569)   on 2009-06-18 19:00:01 (Show Source): You can put this solution on YOUR website! You had the right idea but you add the numbers instead multiplying. Sam's pizzas + Odel's = 126 Let x=number of pizzas Odel sold. x/2 + x = 126 x+2x=252 multiply each side by 2 to eliminate fraction. 3x=252 x=84 84/2=42 Number of pizzas Sam sold. . Ed

Travel_Word_Problems/200208: a boat traveled 100 miles downstream and back. the trip downstream took 5 hoours. the trip back took 25 hours. what is the speed of the boat in still water? what is the speed of the current? 1 solutions Answer 150658 by edjones(7569)   on 2009-06-17 00:19:44 (Show Source): You can put this solution on YOUR website! Let r=rate of the boat, s=speed of boat in still water, c=speed of current, t=time and d=distance r=s + - d) t*r=d . 25(s-c)=100 s-c=4 s=4+c . 5(s+c)=100 s+c=20 4+c+c=20 substitute 4+c for s. 2c=16 c=8 mph speed of current. . s=4+8 s=12 speed of boat in still water. . Ed

Surface-area/200215: Find the exact area and circumference of a circle with a diameter of 18 inches 1 solutions Answer 150649 by edjones(7569)   on 2009-06-16 23:32:12 (Show Source): You can put this solution on YOUR website! 18pi=56.55"