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# Recent problems solved by 'Alan3354'

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 Quadratic_Equations/342212: Solve for x. 2x^2=-13-15 it is not 2*x as well. It is 2x to the second power. would you subtract 15 or use the quadratic equation??? stuck!! 1 solutions Answer 244934 by Alan3354(30982)   on 2010-09-12 23:28:03 (Show Source): You can put this solution on YOUR website!Solve for x. 2x^2=-13-15 it is not 2*x as well. It is 2x to the second power. would you subtract 15 or use the quadratic equation??? 2x^2=-13-15
 Quadratic_Equations/342189: What are two numbers that when added equal -150 and when multiplied equal 3600?1 solutions Answer 244932 by Alan3354(30982)   on 2010-09-12 23:25:26 (Show Source): You can put this solution on YOUR website!-30 and -120
 Expressions-with-variables/342177: help solve 1/5 (x+3) = x - 51 solutions Answer 244930 by Alan3354(30982)   on 2010-09-12 23:23:44 (Show Source): You can put this solution on YOUR website!help solve 1/5 (x+3) = x - 5 Multiply by 5 x+3 = 5x - 25
 Equations/342183: what is b=a-101 solutions Answer 244929 by Alan3354(30982)   on 2010-09-12 23:22:57 (Show Source): You can put this solution on YOUR website!It's an equation in a and b.
 Radicals/342182: What is the radical form of 8/3/5 (8 and 3 fifths) I was told that it is 24/5 but I can't understand the steps to the answer1 solutions Answer 244892 by Alan3354(30982)   on 2010-09-12 20:18:30 (Show Source): You can put this solution on YOUR website!8 3/5 = 8 + 3/5 8 = 40/5 --> 40/5 + 3/5 = 43/5 ------- 24/5 = 2 and 4/5 There are no steps to get that. I don't think this is called the "radical form", it's an "improper fraction."
 Linear-equations/342146: Find the slope of the line 10x=8y-71 solutions Answer 244890 by Alan3354(30982)   on 2010-09-12 20:09:48 (Show Source): You can put this solution on YOUR website!Solve for y. Then, slope = the coefficient of x
 Graphs/342120: find the slope 5y+3=y+91 solutions Answer 244888 by Alan3354(30982)   on 2010-09-12 20:07:49 (Show Source): You can put this solution on YOUR website!There's no x --> x is constant. Slope = infinite or undefined.
 Equations/342175: I need to solve for an equation that has the following points: X -2 2 4 f(X) 4 2 11 solutions Answer 244887 by Alan3354(30982)   on 2010-09-12 20:06:47 (Show Source): You can put this solution on YOUR website!The simplest is f(x) = (-x/2) + 3
 Graphs/342174: find the equation of the line containing the points (1,3) and (-1,2)1 solutions Answer 244883 by Alan3354(30982)   on 2010-09-12 20:02:03 (Show Source): You can put this solution on YOUR website!Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) --------------------- This is a 2 step process. First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 --------- Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 ------- y = mx + b y = 4x - 7 is the answer. ------------------------ Another approach using determinants: |x y 1| |2 1 1| = 0 |3 5 1| -------- x(1-5) - y(2-3) + 1(10-3) = 0 -4x + y + 7 = 0 y = 4x - 7 --------- For further assistance, or to check your work, email me via the thank you note or at Moral Loophole@aol.com
 Expressions-with-variables/342169: My daughter and I are stumped on how to set up this equation. I hope we picked the correct topic for this problem... Here's the question: Geno worked at the China Store on Sunday packing dishes for shipment. He received 5 cents for each piece he packed successfully and was fined 12 cents for each piece he broke. If he handled 187 pieces, and was paid \$8.16 how many pieces did he break? We know it's not the correct way to do the problem, but we started by assuming that if he handled all 187 pieces without breaking any, then he would have earned \$9.35. Then we started subtracting multiples of .12 to see if we could end up at \$8.16. We know there's a correct way to set up the problem but couldn't get it. Would you please give us as much detail as possible so that we (she) will be able to do similar problems on her own? Thank you so much!1 solutions Answer 244882 by Alan3354(30982)   on 2010-09-12 19:58:02 (Show Source): You can put this solution on YOUR website!Geno worked at the China Store on Sunday packing dishes for shipment. He received 5 cents for each piece he packed successfully and was fined 12 cents for each piece he broke. If he handled 187 pieces, and was paid \$8.16 how many pieces did he break? We know it's not the correct way to do the problem, but we started by assuming that if he handled all 187 pieces without breaking any, then he would have earned \$9.35. Then we started subtracting multiples of .12 to see if we could end up at \$8.16. We know there's a correct way to set up the problem but couldn't get it. --------------------- Your method is the best. Here's the usual way: p = # of pieces packed ok b = # of pieces broken --------- p + b = 187 (total pieces) 5p - 12b = 816 p = 187 - b (from the 1st eqn) Sub for p in the 2nd eqn 5(187-b) - 12b = 816 935-5b - 12b = 816 -1b = -119 b = 7 --------- The 2nd method is more work, more chance for error. Yours is better.
 real-numbers/342155: the product of -3 and the difference between and -71 solutions Answer 244878 by Alan3354(30982)   on 2010-09-12 19:51:31 (Show Source): You can put this solution on YOUR website!the difference between what and 7?
 Numbers_Word_Problems/342168: Find four consecutive integers whose sum is 50.1 solutions Answer 244876 by Alan3354(30982)   on 2010-09-12 19:50:04 (Show Source): You can put this solution on YOUR website!Find four consecutive integers whose sum is 50. ------------------ 50/4 = 12.5, the center --> 11, 12, 13 & 14
 test/342113: How would you write an equation in slope intercept for for this question? Passes through (6,-5) perpendicular to the line whose equation is 3x-1/5y=31 solutions Answer 244863 by Alan3354(30982)   on 2010-09-12 18:21:56 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Linear-systems/342095: Linear systems Solve systems invovling 3 equations in 3 variables 3x + y + z = 0 2x - y + z = 0 2x + y + z = 0 1 solutions Answer 244853 by Alan3354(30982)   on 2010-09-12 17:44:27 (Show Source): You can put this solution on YOUR website!x = y = z = 0 When the right side is all zeroes, it's all zeroes.
 Travel_Word_Problems/342043: A car leaves town at noon traveling 40 mph. Two hours later, a second car leaves the same town, on the same road, traveling at 60 mph. At what time will the second car pass the first car? I know the answer is 6pm, but I don't know how to get there.1 solutions Answer 244852 by Alan3354(30982)   on 2010-09-12 17:43:15 (Show Source): You can put this solution on YOUR website!In 2 hours, the 1st car is 80 miles away (40*2). The 2nd car gains on the 1st at 20 mph (60 - 40). Or, the speed of the 2nd car relative to the first is 20 mph. ------------------- 80/20 = 4 hours to overtake. 2 PM + 4 hours = 6 PM
 Divisibility_and_Prime_Numbers/342082: can you find any numbers that are less 300 and are divisible by four different prime numbers? if yes, generate all of them and explain how you know your list is complete. if no explain why none exist1 solutions Answer 244848 by Alan3354(30982)   on 2010-09-12 17:23:55 (Show Source): You can put this solution on YOUR website!2*3*5*7 = 210 The next one is 2*5*7*11 = 770 210 is the only one.
 Trigonometry-basics/342073: Evaluate sin 75 ° cos 15 ° . 1 solutions Answer 244836 by Alan3354(30982)   on 2010-09-12 17:05:11 (Show Source): You can put this solution on YOUR website!cos(15) = sin(75) = sin^2(75) Use a calculator. Find sin(75), square it.
 Points-lines-and-rays/342072: describe a real life example of 3 lines in a space that don't intersect each other and no 2 lines lie in the same plane. 1 solutions Answer 244834 by Alan3354(30982)   on 2010-09-12 17:02:31 (Show Source): You can put this solution on YOUR website!There are many highway structures like that.
 Graphs/342045: how do you graph the equation -3x-y=6 ?1 solutions Answer 244827 by Alan3354(30982)   on 2010-09-12 16:25:40 (Show Source): You can put this solution on YOUR website!It's a straight line, so you need 2 points. Pick 2 values of x and find y. Plot the 2 points. Draw a line thru them. ---------------- You can get FREE graph software at http://www.padowan.dk.com
 Sequences-and-series/341998: The sum of three consecutive intergers is 90. a. Find the three numbers by letting x represent the first integer. b. Find the three numbers by letting x represent the second number.1 solutions Answer 244824 by Alan3354(30982)   on 2010-09-12 16:12:16 (Show Source): You can put this solution on YOUR website!The sum of three consecutive intergers is 90. a. Find the three numbers by letting x represent the first integer. x + x+1 + x+2 = 90 ------------------- b. Find the three numbers by letting x represent the second number. x-1 + x + x+1 = 90 ------------------- The best way: 90/3 = x, the middle number
 Polynomials-and-rational-expressions/342012: I need help with this equation. (3-x)(9-6x) I am not sure how to solve this question. I am so confused. 1 solutions Answer 244823 by Alan3354(30982)   on 2010-09-12 16:04:55 (Show Source): You can put this solution on YOUR website!It's not an equation, there's no equal sign. So there's nothing to solve. ----------- If you want to multipy that: (3-x)*(9-6x) = 3*(9-6x) - x*(9-6x) = =
 Travel_Word_Problems/342038: if i travel 1.5 miles in 44.09 seconds, how many mph am i going? 1 solutions Answer 244822 by Alan3354(30982)   on 2010-09-12 16:01:21 (Show Source): You can put this solution on YOUR website!1.5/44.09 = miles/second x 3600 = mph
 test/341858: Need some help to make sure I have worked this problem correctly please, Find all numbers for which the rational expression is undefined. p^3 - 2p P^2 - 36 Would this answer be correct? P = p(p^2-2) Thank you. 1 solutions Answer 244798 by Alan3354(30982)   on 2010-09-12 10:59:47 (Show Source): You can put this solution on YOUR website!It's not clear what the problem is. Is it 1 problem, or 2?
 Systems-of-equations/341916: can you help me evaluate the expression or let me know if this is correct a=6 and b=1 5(a+4b) + 3(2a-7b) 30+20+36-21=65 is that correct?1 solutions Answer 244797 by Alan3354(30982)   on 2010-09-12 10:56:48 (Show Source): You can put this solution on YOUR website!a=6 and b=1 5(a+4b) + 3(2a-7b) = 5(6+4) + 3(12-7) = 5*10 + 3*5 = 65 ------ 30+20+36-21=65
 Volume/341921: A cubic container measures 10.0cm on each side. How many mL of water will it hold? How much would the water weigh?1 solutions Answer 244796 by Alan3354(30982)   on 2010-09-12 10:54:32 (Show Source): You can put this solution on YOUR website!10^3 = 1000 cc = 1000 ml The density of water is 1 gm/ml --> 1000 grams = 1 kg
 Geometric_formulas/341925: I can not figure out how to do this problem. How many sides does a polygon with an interior angle measure of 120 degrees have? Show your work. 1 solutions Answer 244795 by Alan3354(30982)   on 2010-09-12 10:52:55 (Show Source): You can put this solution on YOUR website!How many sides does a polygon with an interior angle measure of 120 degrees have? ----------- Assuming this is a regular polygon: The exterior angles with be 60º (180 - 120) The sum of the exterior angles for all polygons is 360º 360/60 = 6 sides
 Polynomials-and-rational-expressions/341884: If y=2x^4-36x^2, what are the points at which the tangent to the curve is parallel to the x-axis?1 solutions Answer 244787 by Alan3354(30982)   on 2010-09-12 09:47:38 (Show Source): You can put this solution on YOUR website!If y=2x^4-36x^2, what are the points at which the tangent to the curve is parallel to the x-axis? ------------- y = 2x^4-36x^2 y' = x = 0 --------- x = ± 3
 Exponential-and-logarithmic-functions/341873: Please solve this: log x + log 2x = log 50 Thanks1 solutions Answer 244775 by Alan3354(30982)   on 2010-09-12 08:12:57 (Show Source): You can put this solution on YOUR website!log x + log 2x = log 50 adding logs --> multiplication log(x*2x) = log(50) 2x^2 = 50 x^2 = 25 x = 5 (-5 is not allowed)
 Bodies-in-space/341872: What is the diameter of an 8x9mm solid cylinder1 solutions Answer 244774 by Alan3354(30982)   on 2010-09-12 08:11:31 (Show Source): You can put this solution on YOUR website!It's either 8 or 9.
 Graphs/341887: I have a question about the equation, "y=mx+b" Why is "m" the slope, and why is "b" the intercept? Please explain specifically. Thank you.1 solutions Answer 244773 by Alan3354(30982)   on 2010-09-12 08:09:42 (Show Source): You can put this solution on YOUR website!m and b are the most commonly used names for those variables. Others could be used, it's completely arbitrary. y = sx + i would work, if the people agree on the names, or they're specified.
 Expressions-with-variables/341786: tx-4x=3 you have to solve for x but how do you do it with two x's 1 solutions Answer 244718 by Alan3354(30982)   on 2010-09-11 19:23:44 (Show Source): You can put this solution on YOUR website!tx-4x=3 you have to solve for x but how do you do it with two x's ------------ Factor the left side. tx-4x=3 x*(t-4) = 3 x = 3/(t-4)