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# Recent problems solved by 'checkley71'

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 decimal-numbers/65289: How do you turn a decimal into a fraction? 1 solutions Answer 45865 by checkley71(8403)   on 2006-12-18 19:53:12 (Show Source): You can put this solution on YOUR website!THE DECIMAL 0.3 IS DEFINED AS 3 TENTHS. OR 3 IN THE TENTHS POSITION. THUS WE HAVE 3/10 0.15 IS FIFTEEN IN THE HUNDRETHS POSITION. THUS 15/100 OR REDUCED WE HAVE 3/20 0.040 IS 40 THOUSANDS OR 40 IN THE THOUSANDS POSITION. THUS 40/1000 OR REDUCED 1/25 1.75 IS ONE & 75 HUNDRETHS OR 1 75/100 OR 1 3/4 ######################################################## MERRY CHRISTMAS
 Matrices-and-determiminant/65299: What is an inverse?1 solutions Answer 45864 by checkley71(8403)   on 2006-12-18 19:47:25 (Show Source): You can put this solution on YOUR website!AN INVERSE IS HE REVERSE OF A NUMBER THUS: 1/3 IS THE INVERSE OF 3/1. ANOTHER EXAMPLE IS: 5/7 IS THE INVERSE OF 7/5. ################################################################### MERRY CHRISTMAS
 Radicals/65304: Solve for x, and show work.... squareroot of 2 times squareroot of 3 times x = 181 solutions Answer 45863 by checkley71(8403)   on 2006-12-18 19:42:46 (Show Source): You can put this solution on YOUR website!SQRT2*SQRT3*X=18 XSQRT6=18 SQUARING BOTH SIDES WE GET 6X^2=324 6X^2=324 X^2=54 X=SQRT54 X=7.3484692 ######################################## MERRY CHRISTMAS
 Linear_Algebra/65314: This question is from textbook Algebra 2 2x+3y=1 -3x+4y=-101 solutions Answer 45860 by checkley71(8403)   on 2006-12-18 19:33:49 (Show Source): You can put this solution on YOUR website!2X+3Y=1 MULTIPLY THIS EQUATION BY 3 & WE GET 6X+9Y=3 -3X+4Y=-10 MULTIPLY THIS EQUATION BY 2 WE GET -6X+8Y=-20 NO ADD THESE TWO EQUATIONS 6X+9Y=3 -6X+8Y=-20 ----------------------------------- 17Y=-17 Y=-17/17 Y=-1 SOLUTION 2X+3*-1=1 2X-3=1 2X=1+3 2X=4 X=4/2 X=2 SOLUTION PROOF -3*2+4*-1=-10 -6-4=-10 -10=-10 ############################################ MERRY CHRISTMAS
 Inequalities/65317: This question is from textbook Pre-Algebra Simplify the expression. 4x/7 - 8x/5 Thanks! Please work fast! Happy Holidays!1 solutions Answer 45858 by checkley71(8403)   on 2006-12-18 19:28:50 (Show Source): You can put this solution on YOUR website!4X/7-8X/5 (5*4X-7*8X)/35 (20X-56X)/35 -36X/35
 Travel_Word_Problems/65322: an airplane flies 1449 miles against the wind and 1539 miles with the wind in a total time of 5hours. the speed of the airplane in still air is 600mph. what is the speed of the wind ?1 solutions Answer 45857 by checkley71(8403)   on 2006-12-18 19:26:08 (Show Source): You can put this solution on YOUR website!1449/(600-X)+1539/(600+X)=5 [1449(600-X)+1539(600-X)]/(360000-X^2)=5 (869400-1449X+923400+1539X)/360000-X^2=5 1792800+90X=1800000-5X^2 5X^2+90X-7200=0 X^2+18X-1440=0 (X-30)(X+48)=0 X-30=0 X=30 REAL SOLUTION X+48 X=-48 SOLUTION PROOF 1449/(600-30)+1539/(600+30)=5 1449/570+1539/630=5 2.542+2.448=5 5=5 ########################################## MERRY CHRISTMAS
 Expressions-with-variables/65323: This question is from textbook HELP! WHAR IS THE SLOPE OF THE LINE MODELD BY THIS EQUATION Y=5X-11?????????????? help, PLEASE1 solutions Answer 45855 by checkley71(8403)   on 2006-12-18 19:06:21 (Show Source): You can put this solution on YOUR website!Y=mX+b IS THE LINE FORMULA WHERE THE m=SLOPE, b=Y INTYERCEPT. Y=5X-11 HAS A SLOPE OF 5.
 Square-cubic-other-roots/64690: This question is from textbook An Incremental Development please help to simplify 3 time the square root of 3/7 - 2 times the square root of 7/3 - the square root of 1891 solutions Answer 45836 by checkley71(8403)   on 2006-12-18 10:58:19 (Show Source): You can put this solution on YOUR website!3SQRT3/7-2SQRT7/3-SQRT189 3*.655-2*1.528-13.75 1.965-3.056-13.75 -14.841
 Systems-of-equations/65278: graph y=3x1 solutions Answer 45835 by checkley71(8403)   on 2006-12-18 10:52:00 (Show Source): You can put this solution on YOUR website!Y=3X IS A LINE WITH A SLOPE OF 3, & A Y INTERCEPT OF 0. SETRTING Y=3 WE GET ANOPTHER POINT TO PLOT THIS LINE 3=3X X=1 OR (1,3) FOR A SECOND POINT. ############################################## MERRY CHRISTMAS
 Systems-of-equations/65276: Write the equation of a line with slope -4/5 and a Y intercept of 4 Thanks in advance for your help1 solutions Answer 45833 by checkley71(8403)   on 2006-12-18 10:44:29 (Show Source): You can put this solution on YOUR website!Y=-4X/5+4
 Systems-of-equations/65277: Write the equation of a line perpendicular to y=4x-2 and passing through the point (4,2) Thanks1 solutions Answer 45832 by checkley71(8403)   on 2006-12-18 10:43:18 (Show Source): You can put this solution on YOUR website!Y=4X-2 THE LINE PERPENDICULAR TO THIS LINE HAS A SLOPE OF -1/4. NOW REPLACE X BY 4 & Y BY 2 IN THE LINE FORMULA. 2=-1/4*4+b 2=-1+b b=2+1 b=3 THUS WE HAVE Y=-X/4+3 ########################################################### MERRY CHRISTMAS
 Exponents-negative-and-fractional/64687: This question is from textbook An Incremental Development please help to simplify : x^3 - 5x^2 - 24x / x^2 - 9 * x^2 + 3x - 18 / x^3 - 11x^2 + 24x thank you1 solutions Answer 45831 by checkley71(8403)   on 2006-12-18 10:36:43 (Show Source): You can put this solution on YOUR website!(x^3-5x^2-24x)/(x^2-9)*(x^2+3x-18)/(x^3-11x*2+24x) x(x-8)(x+3)/(x-3)(x+3)*(x+6)(x-3)/x(x-3)(x-8) cancel out the x, the (x+3) from the left fraction & the (x-3) from the right fraction we have (x-8)(x+6)/(x-3)(x-8) now cancel out the (x-8) factor we are left with (x+6)/(x-3) -------------------------------------------- MERRY CHRISTMAS
 Polynomials-and-rational-expressions/64778: Write the expression in simplest form. 4r^2-25s^2 -------------- = 2r^2+3rs-20s^21 solutions Answer 45826 by checkley71(8403)   on 2006-12-18 08:47:23 (Show Source): You can put this solution on YOUR website!4R^2-25S^2=(2R+5S)(2R-5S) 2R^2+3RS-20S^2=(2R-5S)(R+4S) (2R+5S)(2R-5S)/(25-5S)(R+S) CANCEL OUT THE COMMON FACTORS (2R-5S) WE HAVE LEFT (2R+5S)/(R+S)
 Systems-of-equations/65043: Write an expression for the value of a savings account which has more than double the amount of another. Thank you Mike1 solutions Answer 45824 by checkley71(8403)   on 2006-12-18 08:39:09 (Show Source): You can put this solution on YOUR website!S1=2*S2 S1=FIRST SAVINGS ACCOUNT. S2=SECOND SAVING ACCOUNT.
 Inequalities/65066: This question is from textbook Pre-Algebra Find the sum or difference. -2 8/9 + 2 5/61 solutions Answer 45822 by checkley71(8403)   on 2006-12-18 08:36:59 (Show Source): You can put this solution on YOUR website!-2 8/9+2 5/6 -26/9+17/6 Now find a common denominator (3*3,2*3) 3 is common -- use once along with all other multipliers. Thus we have the LOWEST common denominator 3*3*2=18 -26*2/9*2+17*3/6*3 -52/18+51/18 (-52+51)/18 -1/18
 Radicals/65267: 1. Simplify the rational expression: Please show work x2 – 6x – 7 x2 – 1 2. Divide: x2 – 3x + 2÷x2 – 4 8x – 8 5x + 10 3. Simplify: √[100x2y16z8] 4. Perform the indicated operations: 2√[72] + √[32] – 4√[18] 5. Multiply: (√[3] + 4√[5])(2√[3] – √[5]) 6. Rationalize the denominator: 3____ √[6] – √[3]1 solutions Answer 45801 by checkley71(8403)   on 2006-12-17 21:20:42 (Show Source): You can put this solution on YOUR website!x^2-6x-7=0 (x-7)(x+1)=0 x-7=0 x=7 solution x+1=0 x=-1 solution ---------------------------------- x^2-1=0 (x-1)(x+1) x-1=0 x=1 solution x+1=0 x=-1 solution ------------------------------------------------------- MERRY CHRISTMAS
 Inequalities/65263: This question is from textbook Pre-Algebra Find the sum or difference. - 5/14 - ( - 9/10 ) Thanks! Please work fast! Happy Holidays!1 solutions Answer 45789 by checkley71(8403)   on 2006-12-17 19:08:44 (Show Source): You can put this solution on YOUR website!-5/14-(-9/10) -5/14+9/10 FIND A COMMON DENOMINATOR 70 (-25+63)/70 38/70 19/35 ----------------------------------------- MERRY CHRISTMAS
 Expressions-with-variables/64806: This question is from textbook Find the value of the variable. (3x-40)degree (2x-10)degree1 solutions Answer 45788 by checkley71(8403)   on 2006-12-17 19:05:43 (Show Source): You can put this solution on YOUR website!IF THESE ARE EQUAL ANGLES(?) THEN 3X-40=2X-10 3X-2X=-10+40 X=30 PROOF 3*30-40=2*30-10 90-40=60-10 50=50 -------------------------------- MERRY CHRISTMAS
 Signed-numbers/65261: I need help solving problems with equations that contain fractions. my problem is 1/2(x+12)= 1/3x can you help me? 1 solutions Answer 45787 by checkley71(8403)   on 2006-12-17 19:01:16 (Show Source): You can put this solution on YOUR website!1/2(X+12)=1/3X X/2+6=X/3 X/2-X/3=-6 (3X-2X)/6=-6 COMBINE THE X's & CROSS MULTIPLY. X=-36 SOLUTION PROOF 1/2(-36+12)=-36/3 1/2(-24)=-12 -12=-12 ------------------------------ MERRY CHRISTMAS
 Inequalities/65260: This question is from textbook Pre-Algebra Evalute the expression when x= 5/6 & y= - 3/10. -y - x Thanks! Please work fast! Happy Holidays!1 solutions Answer 45786 by checkley71(8403)   on 2006-12-17 18:56:00 (Show Source): You can put this solution on YOUR website!-(-3/10)-5/6 +3/10-5/6 FIND A COMMON DENOMINATOR 30 (9-25)/30 -16/30 -8/15 ----------------------------------------- MERRY CHRISTMAS
 Inequalities/65030: This question is from textbook Pre-Algebra Find teh sum or difference. -1 5/8 - ( -2 1/5 ) Thanks! Happy Holidays!1 solutions Answer 45785 by checkley71(8403)   on 2006-12-17 18:52:46 (Show Source): You can put this solution on YOUR website!-1 5/8-(-2 1/5) -13/8+11/5 NOW FIND A COMMON DENOMINATOR LIKE 40 (-65+88)/40 23/40 --------------------------------- MERRY CHRISTMAS.
 Linear-equations/65250: Find an equation of a line with slope -3 and through (2,4).1 solutions Answer 45783 by checkley71(8403)   on 2006-12-17 18:45:20 (Show Source): You can put this solution on YOUR website!Y=mX+b 4=-3*2+b 4=-6+b 4+6=b 10=b THUS THE EQUATION OF THIS LINE WITH A SLOPE OF -3 AND THROUGH (2,4) IS: Y=-3X+10
 Linear-equations/65253: Find an equation of a line parallel to y = -2x + 5 and through (0,8)1 solutions Answer 45782 by checkley71(8403)   on 2006-12-17 18:40:25 (Show Source): You can put this solution on YOUR website!THE SLOPE OF THIS LINE Y=-2X+5 IS (-2) NOW SUBSTITUTE THE X & Y POINTSALONG WITH THE SLOPE TO FIND THE Y INTERCEPT OF THE PARRALLEL LINW THUS 8=-2*0+b 8=b THIS IS THE Y INTERCEPT OF THE LINE THROUGH (0,8) AND PARALLEL TO THE GIVEN LINE. THUS Y=-2X+8 IS THE LINE EQUATION
 Equations/65077: This question is from textbook An Incremental Development (-x + 2 / 3) - (2x + 5 / 4 ) = 5 thank you1 solutions Answer 45780 by checkley71(8403)   on 2006-12-17 18:31:53 (Show Source): You can put this solution on YOUR website!(-X+2/3)-(2X+5/4)=5 -X+2/3-2X-5/4=5 -3X=5-2/3+5/4 FIND A COMMON DENOMINATOR FOR ALL 3 VALUES OTHER THAN THE X VALUE -3X=60/12-8/12+15/12 NOW COMBINE ALL THE FRACTIONS -3X=(60-8+15)/12 -3X=67/12 NOW MULTIPLY BOTH SIDES BY -1/3 -3*X(-1/3)=67/12*(-1/3) X=67/-36 X=-67/36 PROOF (-[-67/36]+2/3)-(2*-67/36+5/4)=5 67/36+2/3+134/36-5/4=5 (67+134)/36+2/3-5/4=5 201/36+2/3-5/4=5 201/36+24/36-45/36=5 (201+24-45)/36=5 180/36=5 5=5 --------------------------------------------------- MERRY CHRISTMAS
 Polynomials-and-rational-expressions/65201: Simplify: 10x^2-37x+7 5x^2+24x-51 solutions Answer 45776 by checkley71(8403)   on 2006-12-17 17:47:52 (Show Source): You can put this solution on YOUR website!10X^2-37X+7=0 (5X-1)(2X-7)=0 5X-1=0 5X=1 X=1/5 SOLUTION 2X-7=0 2X=7 X=7/2 SOLUTION -------------------------------------------------- 5X^2+24X-5=0 (5X-1)(X+5)=0 5X-1=0 5X=1 X=1/5 SOLUTION X+5=0 X=-5 SOLUTION ------------------------------------------------ MERRY CHRISTMAS
 Quadratic_Equations/65237: ok here is my super dooper hard question ok ready? a bus company has 4000 pasangers daily, each paying a fait of 2 dollars. for each 0.15\$ increase the company looses about 40 passangers. if the company needs to tske in \$10450 per day to stay in buisness what fare should be changed?1 solutions Answer 45775 by checkley71(8403)   on 2006-12-17 17:41:27 (Show Source): You can put this solution on YOUR website!THE EQUATION FOR THIS PROBLEM IS: (4000-40X)(2+.15X)=10450 8000-80X+600X-6X^2=10450 6X^2-520X+2450=0 3X^2-260X+1225=0 USING THE QUADRATIC EQUATION TO SOLVE FOR X WE HAVE X=(-B+-SQRT[B^2-4AC])/2A X=(260+-SQRT[-260*-260-4*3*1225])/2*3 X=(260+-SQRT[67600-14700])/6 X=(260+-SQRT[52900])/6 X=(260+-230)/6 X=(260+230)/6 X=490/6 X=81.666666 SOLUTION X=(260-230)/6 X=30/6 X=5 SOLUTION PROOF (4000-40*5)(2+.15*5)=10450 (4000-200)(2+.75)=10450 3800*2.75=10450 10450=10450 --------------------------------------------- MERRY CHRISTMAS
 Radicals/65248: 5 squareroot of 541 solutions Answer 45772 by checkley71(8403)   on 2006-12-17 17:18:25 (Show Source): You can put this solution on YOUR website!5sqrt54 5sqrt(9*6) 5*3sqrt(6) 15SQRT6
 Functions/65205: find the equation of a line for this points (4,-2) and (0,3) 01 solutions Answer 45744 by checkley71(8403)   on 2006-12-17 08:58:54 (Show Source): You can put this solution on YOUR website!SLOPE IS (3+2)/(0-4) 5/-4 OR -5/4 NOW USING ONE SET OF (X,Y) POINTS IN THE LINE FORMULA WE GET THE Y INTERCEPT Y=mX+b 3=-5/4*0+b 3=b OR Y=-5/4X+3
 Functions/65210: find the equation of a line for this points (4,1) and is perpendicular to the line 2y-3x=41 solutions Answer 45743 by checkley71(8403)   on 2006-12-17 08:55:03 (Show Source): You can put this solution on YOUR website!FIRST WE FIND THE SLOPE OF THE LINE 2Y-3X=4 2Y=3X-4 Y=3X/2-4/2 Y=3X/2-2 THIS LINE HAS A SLOPE OF 3/2 THEREFORE THE PERPENDICULAR LINE HAS A SLOPE OF -2/3. THUS THE FORMULAR FOR THIS PERPENDICULAR LINE IS FOUND BY REPLACING X & Y WITH THE POINTS (4,1) WITH A SLOPE OF -2/3 THUS 1=-2/3*4+b 1=-8/3+b 1+8/3=b b=11/3 THUS THIS EQUATION IS Y=-2/3X+11/3
 Functions/65212: find the point of intersction forthe line below using elimation 3x+4y=-2, 2x+5y=11 solutions Answer 45742 by checkley71(8403)   on 2006-12-17 08:48:32 (Show Source): You can put this solution on YOUR website!multiply the first equation by 2 & the second by -3 & then add thus 6x+8y=-4 -6x-15y=-3 -------------------------- -7y=-7 y=-7/-7 y=1 solution. now substitute 1 for y in either equation & solve for x 3x+4*1=-2 3x+4=-2 3x=-2-4 3x=-6 x=-6/3 x=-2 solution. proof 2*-2+5*1=1 -4+5=1 1=1
 Functions/65208: find the slope of a line for this points (-1,3) and(3,-4)1 solutions Answer 45724 by checkley71(8403)   on 2006-12-16 21:23:18 (Show Source): You can put this solution on YOUR website!the slope is found by the fraction (y2-y1)/(x2-x1) (-4-3)/(3+1) -7/4 is the slope