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# Recent problems solved by 'checkley75'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689, >>Next

 Geometry_Word_Problems/81923: solve the system by addition. x+y=3 and x-y=11 solutions Answer 58707 by checkley75(3666)   on 2007-05-13 22:20:35 (Show Source): You can put this solution on YOUR website!x+y=3 x-y=1 ----------------------- 2x=4 x=4/2 x=2 answer. 2+y=3 y=3-2 y=1 answer. proof 2-1=1 1=1
 Proportions/81927: P = 2L + 2W for L1 solutions Answer 58706 by checkley75(3666)   on 2007-05-13 22:18:24 (Show Source): You can put this solution on YOUR website!p=2l+2w 2l=p-2w l=p/2-2w/2 l=p/2-w answer.
 Geometry_Word_Problems/81925: solve the system by graphing. x - 2y = 8 and x + y = -11 solutions Answer 58705 by checkley75(3666)   on 2007-05-13 22:16:36 (Show Source): You can put this solution on YOUR website!x-2y=8, -2y=-x+8, y=-x/2+8/-2, y=-x/2-4 x=y=-1, y=-x-1 (graph 300x200 pixels, x from -6 to 7, y from -10 to 10, y = -x/2 -4 and y = -x -1). x=6, y=-7
 Graphs/81901: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry). y = –x^2 + 3x – 3 thank you 1 solutions Answer 58686 by checkley75(3666)   on 2007-05-13 19:49:07 (Show Source): You can put this solution on YOUR website!y=-x^2+3x-3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x^2 +3x -3).
 Angles/81867: The measures of an angle is 34 degrees less than its supplement. Find the measure of each angle.1 solutions Answer 58685 by checkley75(3666)   on 2007-05-13 19:46:39 (Show Source): You can put this solution on YOUR website!x+(x-34)=180 2x-34=180 2x=180+34 2x=214 x=214/2 x=107 answer for the smaller angle proof 107+(107-34)=180 107+73=180 180=180
 Linear-equations/81871: What's the linear equation of these ordered pairs? (6,-2) (-9,3) (-6,2)1 solutions Answer 58684 by checkley75(3666)   on 2007-05-13 19:40:13 (Show Source): You can put this solution on YOUR website!SLOPE=(3+2)/(-9-6) SLOPE=5/-15 SLOPE=-1/3 NOW SUBSTITUTE ONE SET OF (X,Y) POINTS IN THE LINE EQUATION & SOLVE FOR THE Y INTERCEPT (b) Y=mX+b -2=-1/3*6+b -2=-2+b b=-2+2 b=0 SO THE LINE EQUATION IS Y=-1/3X (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x/3).
 Linear-equations/81873: What's the slope of the line containing the points (-3,4) and (-3,-7)1 solutions Answer 58682 by checkley75(3666)   on 2007-05-13 19:32:56 (Show Source): You can put this solution on YOUR website!SLOPE=(Y2-Y1)/(X2-X1) (-7-4)/(-3+3) -11/0 THUS THE SLOPE IS A VERTICLE LINE THROUGH THE POINT X=3.
 Polynomials-and-rational-expressions/81884: How would you simplify 6x+9 over 3x?1 solutions Answer 58681 by checkley75(3666)   on 2007-05-13 19:28:33 (Show Source): You can put this solution on YOUR website!(6X+9)/3X 3(2X+3)3X DIVIDE BOTH NUMERATOR & DENOMINATOR BY 3 & WE GET (2X+3)/X
 Square-cubic-other-roots/81889: This question is from textbook find both roots of each equation to the nearest tenth x^2=6181 solutions Answer 58678 by checkley75(3666)   on 2007-05-13 19:22:20 (Show Source): You can put this solution on YOUR website!x^2=618 x=sqrt618 x=24.859605 or 24.9 is the answer.
 Equations/81704: How do I subtract 2x – 3x2 + 5x3 from 5x3 + 4x – x2?1 solutions Answer 58675 by checkley75(3666)   on 2007-05-13 14:51:08 (Show Source): You can put this solution on YOUR website!5X^3-X^2+4X -(5X^3+3X^2-2X) ---------------------------------- 2X^2+2X=2X(X+1)
 Equations/81706: How do I solve by multiplying this equation? 3xy2(5xy – 4x + 6y)1 solutions Answer 58674 by checkley75(3666)   on 2007-05-13 14:48:20 (Show Source): You can put this solution on YOUR website!3XY^2(5XY-4X+6Y)=15X^2Y^3-12X^2Y^2+18XY^3
 Quadratic_Equations/81717: The difference of two numbers is 47. The second is 1 less than 3 times the first. What are the two numbers? Answer:X+Y=47, X=47-Y Y=3X-1 NOW SUBSTITUTE (47-Y) FOR X IN THE THIS EQUATION & SOLVE FOR Y Y=3(47-Y)-1, Y=141-3Y-1, Y+3Y=140, 4Y=140, Y=140/4, Y=35ANSWER. X+35=47, X=47-35, X=12 ANSWER. One number is: 12 And the other number is: 35 1 solutions Answer 58673 by checkley75(3666)   on 2007-05-13 14:45:18 (Show Source):
 Equations/81786: Factor each polynomial. 1 solutions Answer 58672 by checkley75(3666)   on 2007-05-13 14:33:48 (Show Source): You can put this solution on YOUR website!3A^2-13A+12 (3A-4)(A-3)
 Quadratic_Equations/81861: (a-2)(a+4)= 2a(a-3)1 solutions Answer 58671 by checkley75(3666)   on 2007-05-13 14:28:23 (Show Source): You can put this solution on YOUR website!(A-2)(A+4)=2A(A-3) A^2+2A-8=2A^2-6A A^2-2A^2+2A+6A-8=0 -A^2+8A-8=0 A^2-8A+8=0 USING THE QUADRATIC EQUATION WE GET: A=(8+-SQRT[-8^2-4*1*8])/2*1 A=(8+-SQRT[64-32])/2 A=(8+-SQRT32)/2 A=(8+-5.657)/2 A=(8+5.657)/2 A=13.657/2 A=6.8285 ANSWER. A=(8-5.657)/2 A=2.343/2 A=1.1715 ANSWER.
 Equations/81785: Find (4a-2b+c)-(5c+a-4b).1 solutions Answer 58670 by checkley75(3666)   on 2007-05-13 14:20:06 (Show Source): You can put this solution on YOUR website!4A-2B+C-5C-A+4B 3A+2B-4C
 Equations/81794: solve1 solutions Answer 58669 by checkley75(3666)   on 2007-05-13 14:18:09 (Show Source): You can put this solution on YOUR website!22Y^2=-11Y 22Y^2+11Y=0 11Y(2Y+1)=0 11Y=0 Y=0 ANSWER 2Y+1=0 2Y=-1 Y=-1/2 ANSWER.
 Quadratic_Equations/81847: please solve this equation its urgent------------ (x^4)-(5*x^2)+41 solutions Answer 58668 by checkley75(3666)   on 2007-05-13 14:14:44 (Show Source): You can put this solution on YOUR website!X^4-5X^2+4 (X^2-4)(X^2-1) (X+2)(X-2)(X+1)(X-1)
 Quadratic_Equations/81864: 9x^2-120x-81=0 How is this worked out?1 solutions Answer 58667 by checkley75(3666)   on 2007-05-13 14:12:38 (Show Source): You can put this solution on YOUR website!9X^2-120X-81=0 USING THE QUADRATIC EQUATION WE GET: X=(120+-SQRT[-120^2-4*9*-81])/(2*9) X=(120+-SQRT[14400+2906])/18 X=(120+-SQRT17316)/18 X=(120+-131.59)/18 X=(120+131.59)/18 X=251.59/18 X=13.977 ANSWER X=(120-131.59)/18 X=-11.59/18 X=-.644 ANSWER.
 Linear_Equations_And_Systems_Word_Problems/81863: The sum of two numbers is 20. The difference of the two numbers is twice the smaller number. Write a system of equations that will determine the two numbers.1 solutions Answer 58666 by checkley75(3666)   on 2007-05-13 14:04:54 (Show Source): You can put this solution on YOUR website!X+Y=20 THIS IS THE SUM OF THE TWO NUMBERS WITH X BEING THE SMALLER NUMBER. Y-X=2X THIS IS THE DIFFERENCE THAT IS TWICE THE SMALLER NUMBER. YOU DON'T ASK TO SOLVE FOR THE TWO NUMBERS BUT I WILL SOLVE THEM FOR YOU. X+Y=20 OR X=20-Y NOW SUBSTITUTE (20-Y) FOR X IN THE OTHER EQUATION THUS: Y-(20-Y)=2(20-Y) Y-20+Y=40-2Y 2Y+2Y=40+20 4Y=60 Y=60/4 Y=15 ANSWER. X+15=20 X=20-15 X=5 ANSWER. PROOF 15-5=2*5 10=10
 Quadratic_Equations/81641: Lane invested \$14,000, part at 15% and part at 2%. If the total interest at the end of the year is \$1,060, how much did she invest at 15%?1 solutions Answer 58542 by checkley75(3666)   on 2007-05-11 21:24:55 (Show Source): You can put this solution on YOUR website!.15x+.02(14000-x)=1060 .15x+280-.02x=1060 .15x-.02x=1060-280 .13x=780 x=780/.13 x=6000 answer for the amount invested @ 155. proof .15*6000+.02*8000=1060 900+160=1060 1060=1060
 Linear-equations/81688: How do I solve the system by graphing? 3x + y = 6 3x – y = 01 solutions Answer 58540 by checkley75(3666)   on 2007-05-11 21:19:48 (Show Source): You can put this solution on YOUR website!FIRST YOU MUST CONVERT THESE EQUATON TO THE STANDARD LINE FORMULA FORMAT Y=mX+b WHERE THE (m) TERM IS THE SLOPE & THE (b) TERM IS THE Y INTERCEPT. 3X+Y=6, Y=-3X+6 ------------------------ -Y=-3X, Y=3X -------------------------- NOW WE GRAPH: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -3x +6 and y = 3x). --------------------------------------------------------------------- it would appear from the graph that the solution is (1,3)
 Linear-equations/81689: How do I solve the system by substitution? 3x – y = –7 x + y = –9 1 solutions Answer 58537 by checkley75(3666)   on 2007-05-11 21:12:33 (Show Source): You can put this solution on YOUR website!3X-Y=7 X+Y=-9 ------------------------------------ 4X=-2 X=2/-4 X=-1/2 ANSWER. -1/2+Y=-9 Y=-9+1/2 Y=-17/2 ANSWER. PROOF -1/2-17/2=-9 -18/2=-9 -9=-9
 Equations/81690: I am so lost on this one, how do I solve? 10x – 4 – 5x = 6 + 3x – 81 solutions Answer 58533 by checkley75(3666)   on 2007-05-11 21:05:33 (Show Source): You can put this solution on YOUR website!10X-4-5X=6+3X-8 10X-5X-3X=6-8+4 2X=2 X=2/2 X=1 ANSWER PROOF 10*1-4-5*1=6+3*1-8 10-4-5=6+3-8 1=1
 Linear-equations/81693: How do I write the equation of the line with slope -1/2 and y-intercept (0, 3)?1 solutions Answer 58530 by checkley75(3666)   on 2007-05-11 20:56:08 (Show Source): You can put this solution on YOUR website!Y=-mX+b IS THE STANDARD EQUATUION FOR A LINE WHERE (m) IS THE SLOPE & (b) IS THE Y INTERCEPT (0,b) Y=-X/2+3 IS THE EQUATION FOR THIS LINE.
 Linear-equations/81696: I'm super lost on this one, can anyone help me solve? Divide: 24m(4)n(2) – 8m(2)n(3) + 4m(3)n/4m(2)n 1 solutions Answer 58527 by checkley75(3666)   on 2007-05-11 20:53:34 (Show Source): You can put this solution on YOUR website!24m^4n^2-8m^2n^3+4m^3n/4m^2n because you have a fraction with a denominator of (4m^2n) we need to multiply all other terms by (4m^2n) so we can combine there terms. [(24m^4n^2)(4m^2n)-(8m^2n^3)(4m^2n)+(4m^3n)]/4m^2n (96m^6n^3-32m^4n^4+4m^3n)/4m^2n now we cancel wherever possible: (14m^4n^2-8m^2n^3+m) Noe we extract all common elements thus: m(14m^3n^2-8mn^3+1) ANSWER.
 Quadratic_Equations/81461: This question is from textbook y=-x-2x. how do i slove this problem? how do i graph it?1 solutions Answer 58461 by checkley75(3666)   on 2007-05-10 22:10:41 (Show Source): You can put this solution on YOUR website!Y=-X-2X YOU COMBINE THE X TERMS THUS: Y=-3X NOW YOU SET X=0 & SOLVE FOR Y THUS Y=-3*0 Y=0 THIS GIVES YOU ONE POINT (0,0) NOW SET X=ANY OTGHER VALUE LIKE 5 AND SOLVE FOR Y THUS Y=-3*5 Y=-15 THIS GIVES YOU A SECOND SET OF POINTS (5,-15). NOW PLOT THESE 2 SETS OF POINTS & DRAW A LINE BETWEEN THEM THUS: (graph 300x200 pixels, x from -6 to 6, y from -20 to 10, y = -3x).
 Polynomials-and-rational-expressions/81622: This question is from textbook Algebra 1 How do you solve for x when it is in the denominator of a rational expression such as in the following: 1/8 - 3/5 = 1/x What are the restrictions? What is the solution?1 solutions Answer 58460 by checkley75(3666)   on 2007-05-10 22:03:08 (Show Source): You can put this solution on YOUR website!THERE ARE NO RESTRICTIONS. FIRST YOU MUST COMBINE ALL THE FRACTIONS BY FINDING A COMMON DENOMINATOR LIKE 40. 1/8=5*1/40=5/40 & -3/5=-3*8/40=-24/40 5/40-24/40=1/X (5-24)/40=1/X -19/40=1/X NOW CROSS MULTIPLY -19X=40 X=40/-19 X=-40/19 ANSWER. PROOF 1/8-3/5=1/(-40/19) A FRACTION IN THE DENOMINATOR (-40/19) NEEDS TO BE INVERTED AND THEN MULTIPLIED BY THE NUMERATOR THUS: 1/8-3/5=-19/40 5/40-24/40=-19/40 -19/40=-19/40
 Equations/81469: a sumbmarine is 450 meters below sea level. An airplane is 832 meters above sea level. what is the total distance the plane and the submarine? 1 solutions Answer 58459 by checkley75(3666)   on 2007-05-10 21:55:08 (Show Source): You can put this solution on YOUR website!450+832=1282 METERS BETWEEN THEM.
 Equations/81474: What two integers have a product of 64 and a sum of -20?1 solutions Answer 58458 by checkley75(3666)   on 2007-05-10 21:53:05 (Show Source): You can put this solution on YOUR website!X+Y=-20 X=-20-Y & X*Y=64. NOW SUBSTITUTE (-20-Y) FOR X IN THE SECOND EQUATION & SOLVE FOR Y (-20-Y)*Y=64 -20Y-Y^2=64 Y^2+20Y+64=0 (Y+16)(Y+4)=0 Y=16=0 Y=-16 ANSWER. THEN X=-4 Y+4=0 Y=-4 ANSWER. THEN X=-16 PROOF -16-4=-20 -20=-20 & -4*-16=64 64=64
 Quadratic_Equations/81539: Find the slope of any line perpendicular to the line through points (3, 12) and (5, 4).1 solutions Answer 58457 by checkley75(3666)   on 2007-05-10 21:45:46 (Show Source): You can put this solution on YOUR website!THE SLOPE OF A LINE THROUGH THESE 2 POINTS IS (Y2-Y1)/(X2-X1) (4-12)/(5-3) -8/2 -4 IS THE SLOPE. THUS FOR ANY LINE TO BE PERPENDICULAR TO THIS LINE IT MUST HAVE A SLOPE OF 1/4 (THE NEGATIVE RECIPRICAL OF 4).