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# Recent problems solved by 'Alan3354'

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 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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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(30993)   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)
 Linear-equations/341669: draw 1 through (-40, 0) and (o,6). what is the slope of any line parallel to 1? draw 1 through the origin and parallel to 1 thank you so so much1 solutions Answer 244716 by Alan3354(30993)   on 2010-09-11 19:16:04 (Show Source): You can put this solution on YOUR website!draw 1 through (-40, 0) and (o,6). what is the slope of any line parallel to 1? slope m = diffy/diffx = (6-0)/(0-(-40)) = 3/20 ---------------------- draw 1 through the origin and parallel to 1 I did.
 Linear-systems/341759: how to find the equation that passes through these two points (2,4)and (-3,14)1 solutions Answer 244714 by Alan3354(30993)   on 2010-09-11 19:06:47 (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
 Volume/341761: The volume of a right circular cylinder with a radius of 5 meters and a height of 21 meters is ______ .How do know how do answer this?1 solutions Answer 244703 by Alan3354(30993)   on 2010-09-11 18:48:11 (Show Source):
 Problems-with-consecutive-odd-even-integers/341775: Could you please help me with these 2 problems. They don't seem workable to me. A. Find the largest possible product of two negative integers whose sum is -18. B. Find the smallest possible sum of two negative integers whose product is 16. Thank you for your time and help! Tara1 solutions Answer 244700 by Alan3354(30993)   on 2010-09-11 18:45:14 (Show Source): You can put this solution on YOUR website!Could you please help me with these 2 problems. They don't seem workable to me. A. Find the largest possible product of two negative integers whose sum is -18. 81 ------------ B. Find the smallest possible sum of two negative integers whose product is 16. -17 (-1 and -16)
 Quadratic_Equations/341749: I need to find the vertex and axis of symmetry to graph the quadratic form, I understand how to graph quadratic forms but the fraction in this specific problem has me all jumbled up. I tried solving it and got x= 9/4 for the axis of symmetry and (9/4,87/16)for the vertex but im almost 100% certain that is wrong. I would really appreciate some help (PLEASE HELP ME). Thanks in advance. -Kay1 solutions Answer 244671 by Alan3354(30993)   on 2010-09-11 17:33:12 (Show Source): You can put this solution on YOUR website! I need to find the vertex and axis of symmetry to graph the quadratic form, I understand how to graph quadratic forms but the fraction in this specific problem has me all jumbled up. I tried solving it and got x= 9/4 for the axis of symmetry and (9/4,87/16)for the vertex but im almost 100% certain that is wrong. I would really appreciate some help (PLEASE HELP ME). Thanks in advance. ------------------------ axis of symmetry is x = -b/2a x = 3/(4/3) = 9/4 ------------------- The vertex is (9/4,f(9/4)) f(9/4) = (2/3)*(81/16) - 27/4 + 6 = 27/8 - 27/4 + 6 = -27/8 + 6 = 21/8 --> (9/4,21/8)
 Angles/341748: angle 1 and angle 2 are supplementary. If angle 1 = 2x^2-3 and angle 2 = 8x-9, find x, and 1, and angle 2. I need to understand how i can do this with the square root sign? my work so far: 2x^2-3+8x-9=180 2x^2-12+8x=180 2x^2+8x=192 2x^2=24 ------now from here i do not know what to do... help please?1 solutions Answer 244664 by Alan3354(30993)   on 2010-09-11 17:09:35 (Show Source): You can put this solution on YOUR website! angle 1 and angle 2 are supplementary. If angle 1 = 2x^2-3 and angle 2 = 8x-9, find x, and 1, and angle 2. I need to understand how i can do this with the square root sign? my work so far: 2x^2-3+8x-9=180 2x^2-12+8x=180 2x^2+8x=192 ****** This is good, but next step is not right. ***** 2x^2=24 -------------- (x+12)*(x-8) = 0 x = 8, x = -12 Sub into the expressions to find the angles.
 Expressions-with-variables/341651: Tell which rate is greater. 1 and 1/4 miles in 2 minutes and 4 seconds. Or, 1 and 3/16 miles in 1 minute and 55 seconds.1 solutions Answer 244631 by Alan3354(30993)   on 2010-09-11 11:18:52 (Show Source): You can put this solution on YOUR website!1 and 1/4 miles in 2 minutes and 4 seconds = 1.25 miles/124 sec =~ 0.0100806 1 and 3/16 miles in 1 minute and 55 seconds = 1.1875/115 = 0.010326 mi/sec The 2nd is faster by ~2.4%
 Average/341640: Hello. can you please help me solve this problem?? The average of five numbers is 9. The average of 7 other numbers is 8. What is the average of all 12 numbers? Thank you!1 solutions Answer 244630 by Alan3354(30993)   on 2010-09-11 09:51:06 (Show Source): You can put this solution on YOUR website!The average of five numbers is 9. The average of 7 other numbers is 8. What is the average of all 12 numbers? ------ 5 x avg of 9 = 45 total 7 x avg of 8 = 56 total ------------ avg of all 12 = (45 + 56)/12 = 101/12 = 8.416666...
 Linear-equations/341579: the perimeter of rectangle garden is 284 ft. If the lenth of the garden is 78 ft what is its width? will it be 64ft?1 solutions Answer 244600 by Alan3354(30993)   on 2010-09-10 22:00:03 (Show Source): You can put this solution on YOUR website!yea, 64 feet
 Inequalities/341543: hello, I am having problems solving the inequality in 8-3/5x<231 solutions Answer 244595 by Alan3354(30993)   on 2010-09-10 21:16:43 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341545: hello, I am having problems solving the inequality in 5(x+3)-2x>-211 solutions Answer 244594 by Alan3354(30993)   on 2010-09-10 21:16:20 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341550: hello, I am having problems solving the inequality in 3(x+4)-(x-1)<51 solutions Answer 244593 by Alan3354(30993)   on 2010-09-10 21:15:55 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341551: hello, I am having problems solving the inequality in 5x>5x+111 solutions Answer 244592 by Alan3354(30993)   on 2010-09-10 21:15:30 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341547: hello, I am having problems solving the inequality in 4(2x+1)<2(x-1)+6(x+2)1 solutions Answer 244591 by Alan3354(30993)   on 2010-09-10 21:15:10 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341542: hello, I am having problems solving the inequality in 1/5x-3<91 solutions Answer 244590 by Alan3354(30993)   on 2010-09-10 21:14:27 (Show Source): You can put this solution on YOUR website!What sort of trouble? What did you try?
 Inequalities/341552: hello, I am having problems solving the inequality in 13<17-x1 solutions Answer 244589 by Alan3354(30993)   on 2010-09-10 21:13:32 (Show Source): You can put this solution on YOUR website!13<17-x Add x x+13 < 17 Subtract 13 x < 4
 Geometry_Word_Problems/341471: How many cubic feet of cement are in a rectangular cement slab that is 3 inlches thick 8.5 inches long and 12 feet wide?1 solutions Answer 244566 by Alan3354(30993)   on 2010-09-10 18:30:03 (Show Source): You can put this solution on YOUR website!How many cubic feet of cement are in a rectangular cement slab that is 3 inlches thick 8.5 inches long and 12 feet wide? ------------ 12 feet = 144 inches Vol = 3*8.5*144 cubic inches = 3672 1 cubic foot = 1728 cubic inches (12^3) Vol = 3672/1728 cubic feet Vol = 2.125 cubic ft
 Linear-equations/341475: Draw line 1 through (-4,0) and (0,6). What is the slope of any line parallel to line 1? Draw line 2 through the origin and parallel to line 1.1 solutions Answer 244555 by Alan3354(30993)   on 2010-09-10 18:07:37 (Show Source): You can put this solution on YOUR website!Draw line 1 through (-4,0) and (0,6). What is the slope of any line parallel to line 1? Slope, m = diffy/diffx = (0-6)/(-4-0) = 3/2 All lines parallel have the same slope. ----------------------------------- Draw line 2 through the origin and parallel to line 1. You will have to do that. I did, and held it up to the screen, but you can't see it.
 test/341501: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.1 solutions Answer 244546 by Alan3354(30993)   on 2010-09-10 17:46:42 (Show Source): You can put this solution on YOUR website!I might be a mind reader. I know my dog is.