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# Recent problems solved by 'fanism'

 Graphs/34330: x+y=1 5x+5y=3 how many solutions are there?1 solutions Answer 20619 by fanism(39)   on 2006-04-20 11:50:53 (Show Source): You can put this solution on YOUR website!0 solution
 Miscellaneous_Word_Problems/34337: A mixture of 30 lbs. of candy sells for \$1.10 a pound. The mixture consists of chocolates worth \$1.50 a pound and chocolates worth 90¢ a pound. How many pounds of each kind were used to make the mixture?1 solutions Answer 20617 by fanism(39)   on 2006-04-20 11:49:15 (Show Source): You can put this solution on YOUR website!let x be the chocolates worth \$1.50 a pound and let y be the chocolates worth 90¢ a pound. 1.5x + 0.9y = 30(1.1) -- eq1 x + y = 30 --> x = 30 - y -- eq2 sub eq2 into eq1, u get 1.5(30-y) + 0.9y = 33 12 = 0.6y y = 20 put back into eq2, x + 20 = 30 x = 10
 Probability-and-statistics/34262: If you roll a standard pair of dice, what is the probability you will roll the sume of 10?1 solutions Answer 20554 by fanism(39)   on 2006-04-19 19:22:47 (Show Source): You can put this solution on YOUR website!i think this is the approach, to get a sum of 10, the results have to be first = 4, second = 6 first = 5, second = 5 first = 6, and second = 4 to roll a 4 out of a dice, the probability is 1/6, and so do getting a 5, or 6. that means, answer should be
 Equations/34273: HI - I can't seem to figure this one out: The current cost of an item is \$837, which is a 37% increase over the prior year's cost. What was the prior year's cost? I set up an equation: (C+(C*37%)=837) But, can't get the correct answer. By doing a guess and check, i know the answer is \$610.95, but can't get there algebraically. HELP! And thanks!1 solutions Answer 20552 by fanism(39)   on 2006-04-19 19:17:06 (Show Source): You can put this solution on YOUR website!why would you use (C+(C*37%)=837)? it should be C*(1+37%)=837
 Radicals/34274: This question is from textbook practice workbook Algebra 1 square root of 6(square root of 10 + square root of 15) I am trying to re-learn algebra to help my daughter. I haven't done this in 23 years. Please show me the steps to doing this so I can try to explain it to her.1 solutions Answer 20551 by fanism(39)   on 2006-04-19 19:14:30 (Show Source): You can put this solution on YOUR website!I believe you are talking about this, correct? can be written as and so do = = after factorizing, you will have By factorizing the common terms, =
 Miscellaneous_Word_Problems/34250: please help me solve this word problem. It is a PUZZLE WORD PROBLEM. Mary is three years older than her twin brothers. Next year, the sum of the ages of the three will be exactly 102. How old are they now? Anything about this problem would be helpful. Thanks =]1 solutions Answer 20549 by fanism(39)   on 2006-04-19 19:01:56 (Show Source): You can put this solution on YOUR website!let Mary be M years old and her brother be B years old Mary is three years older than her twin brothers, therefore M = 3 + B -- eq1 Next year, the sum of the ages of the three will be exactly 102. Since each one of them will grow 1 year old, therefore, 102 = (M+1) + (B+1) + (B+1) -- eq2 Sub eq1 into eq2, 102 = (3+B+1) + (B+1) + (B+1) 102 = 3B + 6 96 = 3B B = 32 Put B = 32 into eq1, M = 3 + 32 M = 35
 Linear-systems/34070: how do you solve this problem: y=2x-8 x=y+4 this problem is making me go mad!!!! HELP ME PLEASE!!!!!!!!!!1 solutions Answer 20427 by fanism(39)   on 2006-04-18 16:56:07 (Show Source): You can put this solution on YOUR website!y=2x-8 -- eq1 x=y+4 -- eq2 sub eq1 into eq2 x = (2x-8) + 4 x = 2x-4 x = 4 put back into eq2 4 = y + 4 y = 0
 Linear-systems/34068: how do u solve y=x-1 2x-y=0 1 solutions Answer 20422 by fanism(39)   on 2006-04-18 16:32:08 (Show Source): You can put this solution on YOUR website!y=x-1 -- eq1 2x-y=0 -- eq2 sub eq1 into eq2 2x - (x-1) = 0 2x - x + 1 = 0 x + 1 = 0 x = -1 put back into eq1 y = -1 - 1 y = -2
 Numeric_Fractions/34067: x^3-27=(x-3)(x-3)(x-3) Did I do the problem right? He wanted me to factor completely. If it is wrong, could you show me how to do the problem? Thank you. 1 solutions Answer 20421 by fanism(39)   on 2006-04-18 16:23:07 (Show Source): You can put this solution on YOUR website!x^3-27 = (x-3)(x^2+3x+9) this is it. no furthur simplification
 Polynomials-and-rational-expressions/34050: Complete the ordered pair (0,?) for the equation: 2x+4y=101 solutions Answer 20420 by fanism(39)   on 2006-04-18 16:13:44 (Show Source): You can put this solution on YOUR website!this is very straight forward, just sub x = 0 into the equation 2x+4y=10 2(0)+4y = 10 4y = 10 y = 5/2
 Numeric_Fractions/34066: (3x-2)^3=9x^2-6. Did I do this problem right? I just want to make sure before I hand it in. If not, could you show me what I did wrong? Thank you. 1 solutions Answer 20419 by fanism(39)   on 2006-04-18 16:11:20 (Show Source): You can put this solution on YOUR website!you cannot simply cube each number seperatly... (3x-2)^3 = (3x-2)(3x-2)(3x-2) = (9x^2 - 12x + 4)(3x-2) = 27x^3 - 54x^2 + 36x - 8
 Complex_Numbers/34064: Factor completely 10x^3-33x^2+27x How do I factor completely? I did it like this but don't think that I did it right 2*5*x*x*x 3*11*x*x 3*3*3*x 1 solutions Answer 20418 by fanism(39)   on 2006-04-18 16:01:51 (Show Source): You can put this solution on YOUR website!first, you can see each number has a x, so this is the first step to factor 10x^3-33x^2+27x x ( 10x^2 - 33x + 27) x (2x - 3)(5x - 9)
 Numeric_Fractions/34065: x^3-27=(x-3)(x-3)(x-3) Did I do the problem right? He wanted me to factor completely. 1 solutions Answer 20417 by fanism(39)   on 2006-04-18 15:59:15 (Show Source): You can put this solution on YOUR website!no, this is not right
 Numeric_Fractions/34063: (3x-2)^2=9x^2-6. Did I do this problem right? I just want to make sure before I hand it in.1 solutions Answer 20416 by fanism(39)   on 2006-04-18 15:51:00 (Show Source): You can put this solution on YOUR website!no, this is not right
 Equations/34062: The problem I have is 7-3(x+3)=-5(x-2)+2x-121 solutions Answer 20415 by fanism(39)   on 2006-04-18 15:50:01 (Show Source): You can put this solution on YOUR website!this has no solution, the unknown cancelled out. check your question! 7-3(x+3)=-5(x-2)+2x-12 7 - 3x - 9 = -5x + 10 + 2x - 12 -2 - 3x = -3x - 2 0 = 0
 Numbers_Word_Problems/34061: The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.1 solutions Answer 20414 by fanism(39)   on 2006-04-18 15:47:09 (Show Source): You can put this solution on YOUR website!assume the first digit is x and second digit is y Since the sum of the digits of a two-digit number is 9, therefore x + y = 9 -- eq1 it says if the digits are reversed, the new number is 27 less than the original. since we are looking at the number like xy, to seperate them, it is actually 10x+y for x is a tens digit. 10y + x = 10x + y + 27 simplify it, u will get: 9y = 9x + 27 y = x + 3 -- eq2 sub eq2 into eq1, u will have x + (x + 3) = 9 2x + 3 = 9 2x = 6 x = 3 put back into eq1, 3 + y = 9 y = 6 The original number is 36.
 Numeric_Fractions/33990: At a concert, orchestra seats sell for \$15 each and balcony seats sell for \$10 each. If 324 orchestra seats were sold and the box office collected \$ 7540, how many balcony seats were sold?1 solutions Answer 20380 by fanism(39)   on 2006-04-18 11:51:09 (Show Source): You can put this solution on YOUR website!let x = # of balcony sold therefore, 15(324) + 10x = 7540 4860 + 10x = 7540 10x = 2680 x = 268
 Polynomials-and-rational-expressions/34000: 1. Simplify: x^2+x-12/2x^2-3x-91 solutions Answer 20379 by fanism(39)   on 2006-04-18 11:44:12 (Show Source): You can put this solution on YOUR website!(x+4)(x-3) ------------ (2x+3)(x-3) answer is (x+4) ----- (2x+3)
 Trigonometry-basics/34012: graph: y = 3 sin 2theta1 solutions Answer 20378 by fanism(39)   on 2006-04-18 11:36:29 (Show Source):
 Numbers_Word_Problems/33959: directions:solve problems using two unknowns and asystem of two equations. one number is 7 more than another number. the sum of these two numbers is 101. what are the numbers?1 solutions Answer 20355 by fanism(39)   on 2006-04-18 01:23:13 (Show Source): You can put this solution on YOUR website!x-7=y --> x-y=7 -- eq1 x+y=101 -- eq2 therefore, let's take eq2-eq1 0 + 2y = 94 y = 47 therfore x = 101-47 = 54
 Volume/33966: A box has a volume of 7500 cm3 and a surface area of 2600cm2. what are the length, width, and height of the box?1 solutions Answer 20354 by fanism(39)   on 2006-04-18 01:20:33 (Show Source): You can put this solution on YOUR website!you have 3 variables, but according to your post, there could only generate 2 equations. are u misssing something?
 Polynomials-and-rational-expressions/33942: I need help in factoring this: a^2 + 7a + 61 solutions Answer 20353 by fanism(39)   on 2006-04-18 01:12:58 (Show Source): You can put this solution on YOUR website!(x+6)(X+1)
 Numbers_Word_Problems/33961: directions:solve problems using two unkowns and a system of two equations. the diffrence of two numbers is -1. if twice the first number is added to three times the second number, the result is 13. what are the numbers1 solutions Answer 20352 by fanism(39)   on 2006-04-18 01:09:59 (Show Source): You can put this solution on YOUR website!let the first # be x and the second # be y x - y = -1 -- eq 1 2x + 3y = 13 -- eq 2 multifply eq 1 by 2, yields 2x - 2y = -2 -- eq 3 now, take eq2 - eq3, u will get 0 - 5y = 15 y = -3 sub y = -3 into any of the above equation, let use eq1, u will get x - (-3) = -1 x + 3 = -1 x = -4
 Linear_Equations_And_Systems_Word_Problems/33972: A company's profit for the first half of the year is \$2,750,000 greater than the profit for the second half. If the total annual profit is \$3,635,000, find the profit for the first half year and the second half-year.1 solutions Answer 20351 by fanism(39)   on 2006-04-18 01:06:34 (Show Source): You can put this solution on YOUR website!assume the first half year's profit is \$x and the second half is \$y therefore x = y + 2750K -- equation 1 since total is 3635K. therefore x + y = 3635K solve for x and y, and u will get x = 3192.5K = 3,192,500 y = 442.5K = 442,500
 Numbers_Word_Problems/33967: one man recieved 15% more than another man when they shared an inheritance of \$4,300.00/ how much did each man receive? 1 solutions Answer 20350 by fanism(39)   on 2006-04-18 01:01:23 (Show Source): You can put this solution on YOUR website!assume the first guy has \$x, and second guy has \$y, therefore x = y (1 + 15%) x = y (1.15) -- equation 1 the total amount of money is \$4300. therefore x + y = 4300 -- equation 2 solve both equations, and you will get x = \$2300 and y = \$2000
 Polynomials-and-rational-expressions/33971: I need to know how to factor this problem and show my work: 18x^2 - 27x + 41 solutions Answer 20349 by fanism(39)   on 2006-04-18 00:57:56 (Show Source): You can put this solution on YOUR website!(3x-4)(6x-1)
 Graphs/33980: Graph the following linear equations and advise points: 3x-2y=12 and y=2x+5 thanks!1 solutions Answer 20346 by fanism(39)   on 2006-04-18 00:51:21 (Show Source): You can put this solution on YOUR website!#1 3x-2y=12 u need to solve the equations to plot the graph. all u need to do is to sub x=0 and find y and vice versa the points to plot the graph are: (0, 6), and (4, 0) #2 (0, 5), and (-5/2, 0)
 Linear-systems/33800: [1,1] [0,3] 2x+y=31 solutions Answer 20324 by fanism(39)   on 2006-04-17 19:35:32 (Show Source): You can put this solution on YOUR website!the equation is: x2-x1/y2-y1 = x-x1/y-y1 in your case, x1, y1 = [1,1] x2, y2 = [0,3] therefore: 0-1/3-1 = x-1/y-1 -1/2 = x-1/y-1 -y+1=2x-2 0=2x+y-3
 Linear-equations/33938: Write each equation in slope-intercept form: 1. 10 - x - 2y = 0 2. y + 8 = -3/4 (x+1) Determine the equation of each line (write in slope-intercept form) 3. The line through (8, 0) that is perpendicular to the line x + y = 3 4. The line through (0, 6) that is parallel to the line 3x + 5y = 15 1 solutions Answer 20323 by fanism(39)   on 2006-04-17 19:30:58 (Show Source): You can put this solution on YOUR website!#1 slope-intercept form = y = mx+c 10 - x - 2y = 0 -2y = -10 +x y = -(1/2)x + 5 #2 y + 8 = -3/4 (x+1) y = -(3/4)x - (29/4)
 Circles/33826: Solve for all values of X. (2x over x+3)+ (3 over x-3) = (8 over x squared - 9)1 solutions Answer 20321 by fanism(39)   on 2006-04-17 19:26:45 (Show Source): You can put this solution on YOUR website!(2x over x+3)+ (3 over x-3) = (8 over x squared - 9) [2x(x-3) + 3(x+3)]/(x^2 -9 )= 8 / (x^2-9) 2x^2-6x+3x+9=8 2x^2-3x+9=8 2x^2-3x+1=8 (2x-1)(x-1)=0 solve x yourself