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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Graphs/258157: Solve the equations by substitution. 8x = 2y + 5 3x = y + 7 x = ? y = ? 1 solutions Answer 190053 by checkley77(12569)   on 2010-01-18 18:50:41 (Show Source): You can put this solution on YOUR website!8x = 2y + 5 3x = y + 7 OR Y=3X-7 8X=2(3X-7)+5 8X=6X-14+5 8X-6X=-9 2X=-9 X=-9/2 X=-4.5 ANS. 8*-4.5=2Y+5 -36=2Y+5 2Y=-36-5 2Y=-41 Y=-41/2 Y=-20.5 ANS. PROOF: 3*-4.5=-20.5+7 -13.5=-13.5
 Systems-of-equations/258130: x+y=8 x+3y+141 solutions Answer 190023 by checkley77(12569)   on 2010-01-18 17:45:23 (Show Source): You can put this solution on YOUR website!x+y=8 x+3y[=]14 subtract -------------- -2y-6 y=-6/-2 y=3 ans. x+3=8 x=8-3 x=5 ans. Proof: 5+3*3=14 5+9=14 14=14
 Coordinate-system/258131: how to graph y= -1x^2+10x+01 solutions Answer 190021 by checkley77(12569)   on 2010-01-18 17:40:59 (Show Source): You can put this solution on YOUR website!y= -1x^2+10x+0 (graph 300x200 pixels, x from -6 to 15, y from -10 to 30, -x^2 +10x).
 Systems-of-equations/258132: 2x+y+12 3x-y=131 solutions Answer 190018 by checkley77(12569)   on 2010-01-18 17:36:11 (Show Source): You can put this solution on YOUR website!2x+y+12 3x-y=13 add. ------------- 5x=25 x=25/5 x=5 ans. 2*5+y=12 10+y=12 y=12-10 y=2 ans. Proof: 3*5-2=13 15-2=13 13=13
 Systems-of-equations/258133: 5x-2y=4 11x+4y=-81 solutions Answer 190016 by checkley77(12569)   on 2010-01-18 17:33:40 (Show Source): You can put this solution on YOUR website!5x-2y=4 multiply by 2 & add. 11x+4y=-8 10x-4y=8 -------------- x=0 ans. 5*0-2y=4 -2y=4 y=4/-2 y=-2 ans. Proof: 11*0+4*-2=-8 -8=-8
 Surface-area/258135: Find the surface area of of this carton The height is 18 in. The width 12in. and the side is 4in.1 solutions Answer 190012 by checkley77(12569)   on 2010-01-18 17:30:53 (Show Source): You can put this solution on YOUR website!2(12*4)+2(12*18)+2(4*18) 2*48+2*30+2*22 96+60+44=200 in^2. ans.
 Surface-area/258136: Find the surface area of of this carton The height is 18 in. The width 12in. and the side is 4in.1 solutions Answer 190011 by checkley77(12569)   on 2010-01-18 17:29:54 (Show Source): You can put this solution on YOUR website!2(12*4)+2(12*18)+2(4*18) 2*48+2*30+2*22 96+60+44=200 in^2. ans.
 Quadratic_Equations/258137: factor completely 36w^4-60w^3+16w^21 solutions Answer 190006 by checkley77(12569)   on 2010-01-18 17:25:28 (Show Source): You can put this solution on YOUR website!36w^4-60w^3+16w^2 4w^2(9w^2-15w+4) 4w^2(3w-1)(3w-4) ans.
 Polynomials-and-rational-expressions/257892: Evaluate. -9/x(x+10)^2, for-x=-41 solutions Answer 190002 by checkley77(12569)   on 2010-01-18 17:21:58 (Show Source): You can put this solution on YOUR website!-9/x(x+10)^2, for-x=-4 x=4 -9/4(4+10)^2 -9/4(14)^2 -9/4*196 -1,764/4=-441 ans.
 Linear-systems/257938: solve:1/2(3-8x)>20(1-1/5x) 1 solutions Answer 190000 by checkley77(12569)   on 2010-01-18 17:16:04 (Show Source): You can put this solution on YOUR website!1/2(3-8x)>20(1-1/5x) (3-8x)/2>20-20x/5 (3-8x)/2>20-4x cross multiply. 3-8x>2(20-4x) 3-8x>40-8x -8x+8x>40-3 0>37 no solution.
 Numbers_Word_Problems/257969: A person invested \$10,000. The greater part is invested at 6% and the remainder at 5%. The annual income from the greater part is \$160 more than the annual income from the smaller part. What is the smaller part of the investment?1 solutions Answer 189999 by checkley77(12569)   on 2010-01-18 17:09:39 (Show Source): You can put this solution on YOUR website!.06x=.05(10,000-x)+160 .06x=500-.05x+160 .06x+.05x=660 .11x=660 x=660/.11 x=\$6,000 amount invested @ 6% 10,000-6,000=\$4,000 invested @5% Proof: .06*6,000=.05*4,000+160 360=200+160 360=360
 Quadratic_Equations/257975: x^2-7x=-121 solutions Answer 189998 by checkley77(12569)   on 2010-01-18 17:04:05 (Show Source): You can put this solution on YOUR website!x^2-7x=-12 x^2-7x+12=0 (x-4)(x-3)=0 x-4=0 x=4 ans. x-3=0 x=3 ans.
 Graphs/257979: Solve the equations by substitution. x - y = 6 x = y + 2 x = ? y = ? 1 solutions Answer 189996 by checkley77(12569)   on 2010-01-18 17:02:32 (Show Source): You can put this solution on YOUR website!x - y = 6 x = y + 2 Replace x with (y+2) in the first equation & solve for y (y+2)-y=6 y-y=6-2 0=4 no solution.
 Graphs/257980: 7x - 2 = 2y 3x = 2y - 1 x = ? y = ? 1 solutions Answer 189992 by checkley77(12569)   on 2010-01-18 16:57:54 (Show Source): You can put this solution on YOUR website!7x-2=2y 3x+1=2y SUBTRACT. ---------------- 4X-3=0 4X=3 X=3/4 ANS. 7*3/4-2=2Y 21/4-2=2Y 2Y=21/4-8/4 2Y=13/4 Y=(13/4)/2 Y=13/4*1/2 Y=13/8 ANS. PROOF: 3*3/4+1=2*13/8 9/4+1=26/8 9/4+4/4=13/4 13/4=13/4
 Polynomials-and-rational-expressions/257992: how do you multiply and simplify the product? 2x over x+4 times x-1 over 3 1 solutions Answer 189990 by checkley77(12569)   on 2010-01-18 16:49:07 (Show Source): You can put this solution on YOUR website![2X/(X+4)] 2X(X-1)/3(X+4) ANS.
 Trigonometry-basics/257994: simplify the complex rational expression: 5+ 5/3x _______ x-1/9x1 solutions Answer 189988 by checkley77(12569)   on 2010-01-18 16:45:42 (Show Source): You can put this solution on YOUR website!5+5/3x _______ x-1/9x (5*3+5x)/3 _________ (9x-x)/9 [(15+5x)/3] 9(15+5x)/3*8x 9*5(3+x)/24x 45(3+x)/24x 15(3+x)/8x ans.
 Linear-equations/258084: solve for y 4y-5/2=3/2y-3/51 solutions Answer 189983 by checkley77(12569)   on 2010-01-18 16:33:11 (Show Source): You can put this solution on YOUR website!4y-5/2=3/2y-3/5 4y-3y/2=-3/5+5/2 8y/2-3y/2=(-3*2+5*5)/5*2 5y/2=(-6+25)/10 5y/2=19/10 5y*10=2*19 50y=38 y=38/50 y=19/25 ans. Proof: 4*19/25-5/2=3/2(19/25)-3/5 76/25-5/2=57/50-3/5 (76*2-5*25)/(2*25)=57/50-30/50 (152-125)/50=27/50 27/50=27/50
 Linear_Equations_And_Systems_Word_Problems/258105: The organizers of a bicycle trip have a budget of \$450 to buy spare tires and tire repair kits. They can buy spare tires for \$18 each and repair kit for \$15 each. Write an inequality showing the different ways the organizers can spend their budget. Can the organizers of the bicycle trip buy 15 spare tires and 10 tire repair kits and still be within their budget?1 solutions Answer 189975 by checkley77(12569)   on 2010-01-18 16:17:21 (Show Source): You can put this solution on YOUR website!18x+15y<=450 18*15+15*10<=450 270+150<=450 420<=450 ans. YES he can buy 15 tires & 10 repair kits.
 Expressions-with-variables/258108: 4y-4/8 +26/2 =1/41 solutions Answer 189971 by checkley77(12569)   on 2010-01-18 16:12:22 (Show Source): You can put this solution on YOUR website!4y-4/8 +26/2 =1/4 4y=1/4+4/8-26/2 4y=.25+.5-13 4y=-12.25 y=-12.25/4 ans. 4*-12.25/4-4/8+26/2=1/4 -49/4-1/2+13=1/4 -49/4-2/4+52/4=1/4 (-49-2+52)/4=1/4 (-51+52)/4=1/4 1/4=1/4
 Linear-equations/258102: y=2x-1 1 solutions Answer 189966 by checkley77(12569)   on 2010-01-18 16:07:49 (Show Source): You can put this solution on YOUR website!y=2x-1 This line has a slope(m=2) & a y intercept=-1. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x -1).
 Linear-equations/258089: I need to find an equation for the line that passes through (8,1/2) and (-1/3,6)and write the resulting equation in standard form1 solutions Answer 189963 by checkley77(12569)   on 2010-01-18 16:04:42 (Show Source): You can put this solution on YOUR website!(8,1/2) and (-1/3,6) Y=mX+b m=slope & b=the Y intercept. m=(Y2-Y1)/(X2-X1) m=(6-1/2)/(-1/3-8) m=5.5/(-1/3-24/3) m=5.5/-25/3 m=5.5*-3/25 m=-16.5/25=-3.3/5 ans. 1/2=-3.3*8/5+b 1/2=-26.4/5+b b=1/2+26.4/5 b=2.5/5+26.4/5 b=28.9/5 the Y intercept. Y=-3.3X/5+28.9/5 ans. for the line equation. (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -3.3x/5 +28.9/5).
 Functions/258094: The perimeter of a rectangle is 54. If the length is three more than twice the width, what are the dimensions of the rectangle? 1 solutions Answer 189958 by checkley77(12569)   on 2010-01-18 15:51:03 (Show Source): You can put this solution on YOUR website!L=2W+3 2L+2W=54 2(2W+3)+2W=54 4W+6+2W=54 6W=54-6 6W=48 W=48/6 W=8 ANS. L=2*8+3 L=16+3=19 ANS. PROOF: 2*19+2*8=54 38+16=54 54=54
 Problems-with-consecutive-odd-even-integers/258097: the sum of an integer and its square is 72. what is the integer1 solutions Answer 189952 by checkley77(12569)   on 2010-01-18 15:43:37 (Show Source): You can put this solution on YOUR website!x^2+x=72 x^2+x-72=0 (x-8)(x+9)=0 x-8=0 x=8 ans. x+9=0 x=-9 ans.
 Quadratic_Equations/258096: how do i solve 4x^2+4x-15=01 solutions Answer 189951 by checkley77(12569)   on 2010-01-18 15:41:22 (Show Source): You can put this solution on YOUR website!The factors of the a term(4x) are: 1*4 & 2*2 The factors of the term(-15) are -1*15, 1*-15, -3*5, 3*-5 Now the secret is to find the sum of the products that = 4 1*-1+4*15=-1+60=59 reject 1*15+4*-1=15-4=11 reject 1*1+4*-15=1-60=-59 reject 1*-15+4*4=-15+15=31 reject 1*-3+4*5=-3+20=17 reject 1*5+4*-3=5-12=-7 reject 1*3+4*-5=3-20=-17 reject 2*-1+2*15=-2+30=28 reject ************************************ 2*-3+2*5=-6+10=4 eureka. Proof: Using the FOIL system. 2x*2x+2x*5-3x*2-3*5 4x*2+10x-6x-15 [4x^2+4x-15] ************************************* 2*3+2*-5=6-10-4 reject ------------------------------ 4x^2+4x-15=0 (2x-3)(2x+5)=0 2x-3=0 2x=3 x=3/2 x=1.5 ans. 2x+5=0 2x=-5 x=-5/2 x=-2.5 ans.
 Linear-equations/257822: Liner Equations and the Intercept Form Undo the order of operations to find the x-value in each equation. 9 - 0.75(x+8) - 5 = -2 15 - 8(x-6) -------------- = -2.25 41 solutions Answer 189835 by checkley77(12569)   on 2010-01-18 10:59:40 (Show Source): You can put this solution on YOUR website!9 - 0.75(x+8) - 5 = -2 9-.75x-6-5=-2 -.75x=-2-9+6+5 -.75x=0 x=0/-.75 x=0 ans. Proof: 9-.75(0+8)-5=-2 9-6-5=-2 -2=-2 ----------------------------------------- 15 - 8(x-6) -------------- = -2.25 4 15-8(x-6)=-2.25*4 15-8x+48=9 -8x=9-15-48 -8x=-54 x=-54/-8 x=6.75 ans. Proof: (15-8(6.75-6))/4=-2.25 (15-8*.75)=4*-2.25 15-6=9 9=9
 Radicals/257953: how do i simplify: the square root of 12x^9y^6 ?1 solutions Answer 189831 by checkley77(12569)   on 2010-01-18 10:35:50 (Show Source): You can put this solution on YOUR website!sqrt(12x^9y^6) sqrt(2*2*3x^4*x^4*xy^3*y^3) 2x^4y^3sqrt(3x)
 Graphs/257959: Solve the equations by substitution. 5x - 6 = y 2x - 3y = 4 x = ? y = ? 1 solutions Answer 189830 by checkley77(12569)   on 2010-01-18 10:33:00 (Show Source): You can put this solution on YOUR website!5x - 6 = y 2x - 3y = 4 replace y with (5x-6) in this equation & solve for x 2x-3(5x-6)=4 2x-15x+18=4 -13x=4-18 -13x=-14 x=-14/-13 x=14/13 ans. 5*14/13-6=y 70/13-6=y 70/13-78/13=y y=-8/13 ans. Proof: 2*14/13-3*-8/13=4 28/13+24/13=4 52/13=4 4=4
 Linear-systems/257960: Find an equation of the line containig the given pair of points. (3,5) (9,9) 9/9-5/3=4/6= 2/3x? can you help me solve this?1 solutions Answer 189827 by checkley77(12569)   on 2010-01-18 10:22:46 (Show Source): You can put this solution on YOUR website!(3,5) (9,9) Y=mX+b m=SLOPE=(Y2-Y1)/(X2-X1) m=(9-5)/(9-3)=4/6=2/3 IS THE SLOPE. 5=2/3*3+b 5=2+b b=5-2 b=3 ans. for the Y intercept. Y=2X/3+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x/3 +3).
 Percentage-and-ratio-word-problems/257895: In order for a chemical reaction to remain stable, its celsius temperature must be no more than 111.4c. Find the farenheit temperatures at which the reaction will remain stable. Use F=9/5c+321 solutions Answer 189821 by checkley77(12569)   on 2010-01-18 10:12:32 (Show Source): You can put this solution on YOUR website!F=9/5c+32 F=9/5*111.4+32 F=1,002.6/5+32 F=200.52+32 F=232.52 DEGREES ANS.
 Quadratic_Equations/257897: I have to put x^2-6x+2 back into two binomials like a foil problem. 1 solutions Answer 189818 by checkley77(12569)   on 2010-01-18 10:08:21 (Show Source): You can put this solution on YOUR website!x^2-6x+2 x=(6+-sqrt[-6^2-4*1*2])/2*1 x=(0+-sqrt36-8])/2 x=(6+-sqrt28)/2 x=(6+-5.29)/2 x=(6+5.29)/2 x=11.29/2 x=5.645 ans. x=(6-5.29)/2 x=.71/2 x=.355 ans.
 Percentage-and-ratio-word-problems/257898: Use an inequality and the five-step process to solve the problem. Jim has gotten scores of 88 and 69 on his first two tests. What score must he get on his third test to keep an average of 85 or greater?1 solutions Answer 189817 by checkley77(12569)   on 2010-01-18 10:00:48 (Show Source): You can put this solution on YOUR website!(88+69+X)/3>=85 (157+X)/3>=85 157+X>=85*3 157+X>=255 X>=255-157 X>=98 THE GRADE NEEDED FOR AN AVERAGE OF 85 OR GREATER. PROOF: LET X=99 (88+69+99)/3>=85 256/3>=85 85.33>=85