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checkley77 answered: 12560 problems
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 Problems-with-consecutive-odd-even-integers/169109: Three times the smallest of three consecutive even integers is two more than twice the largest. Find the integers. 1 solutions Answer 124730 by checkley77(12569)   on 2008-11-23 10:23:23 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x+4 be the three integers. 3x=(x+4)+2 3x=x+6 3x-x=6 2x=6 x=6/2 x=3 ans. Proof: 3*3=(3+4)+2 9=7+2 9=9
 Rectangles/169119: Perimeter of a rectangle. What is the width of a rectangular playground that is 2x-5 feet and the length is 3x+9 feet. Can you please write a polynomial P(x) that represents the perimeter and then evalute this perimeter polynomial if x is 4 feet? Thanks! 1 solutions Answer 124729 by checkley77(12569)   on 2008-11-23 10:20:07 (Show Source): You can put this solution on YOUR website!p(x)(2x-5)(3x+9) p(4)=(2*4-5)(3*4+9) p(4)=(8-5)(12+9) p(4)=3*21 p(4)=63 ans.
 Mixture_Word_Problems/169123: A farmer sold bushels of wheat and bushels of oats. For 425 bushels he received \$481.58. How many bushels of each did he sell, if he received \$2.08 per bushel of wheat and \$.94 per bushel of oats? HELP!!! I need help organizing this information in a chart and showing my work. I have no idea...Thanks.1 solutions Answer 124728 by checkley77(12569)   on 2008-11-23 10:15:57 (Show Source): You can put this solution on YOUR website!2.08x+.94(425-x)=481.58 2.08x+399.50-.94x=481.58 1.14x=481.58-399.50 1.14x=82.08 x=82.08/1.14 x=72 bushels of wheat were sold. 425-72=353 bushels of oats were sold. Proof: 2.08*72+.94*353=481.58 149.76+331.82=481.58 481.58=481.58
 Rational-functions/169126: x + y = 20 28x + 16y = 4161 solutions Answer 124726 by checkley77(12569)   on 2008-11-23 10:07:57 (Show Source): You can put this solution on YOUR website!x + y = 20 multiply by -16 & add. 28x + 16y = 416 -16x-16y=-320 ---------------- 12x=96 x=96/12 x=8 ans. 8+y=20 y=20-8 y=12 ans. Proof: 28*8+16*12=416 224+192=416 416=416
 Money_Word_Problems/169086: Henry invested \$12,000 in a new restaurant. When the restaurant was sold two years later, he received \$27,000. Find his average annual return by solving the equation 12,000(1+r)^21 solutions Answer 124699 by checkley77(12569)   on 2008-11-22 20:33:19 (Show Source): You can put this solution on YOUR website!12,000(1+r)^2=27,000 (1+r)^2=27,000/12,000 (1+r)^2=2.25 1+r=sqrt2.25 1+r=1.5 5=1.5=1 r=.5 or 50% annual return on the value of the restraunt. Proof: 12,000(1+.5)^2=27,000 12,000(1.5)^2=27,000 12,000*2.25=27,000 27,000=27,000
 Equations/169088: Solve (x+5)/x=51 solutions Answer 124698 by checkley77(12569)   on 2008-11-22 20:27:48 (Show Source): You can put this solution on YOUR website!(x+5)/x=5 x+5=5x 5x-x=5 4x=5 x=5/4 ans. Proof:(5/4+5)/(5/4)=5 5/4+5=5(5/4) (5+5*4)/4=25/4 25/4=25/4
 Equations/169090: Solve (x+5)/x=51 solutions Answer 124697 by checkley77(12569)   on 2008-11-22 20:26:02 (Show Source): You can put this solution on YOUR website!(x+5)/x=5 x+5=5x 5x-x=5 4x=5 x=5/4 ans. Proof:(5/4+5)/(5/4)=5 5/4+5=5(5/4) (5+5*4)/4=25/4 25/4=25/4
 Graphs/169063: y=5x 2x+y=281 solutions Answer 124693 by checkley77(12569)   on 2008-11-22 19:23:32 (Show Source): You can put this solution on YOUR website!y=5x (red line) 2x+y=28 y=-2x+28 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 30, of TWO functions y = 5x and -2x +28). Ans. (4,20)
 Graphs/169065: x=1/5y 3x+2y=261 solutions Answer 124691 by checkley77(12569)   on 2008-11-22 19:20:10 (Show Source): You can put this solution on YOUR website!x=1/5y x=y/5 y=5x (red line) 3x+2y=26 2y=-3x+26 y=-3x/2+26/2 y=-3x/2+13 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, of TWO functions y = 5x and -3x/2 +13). Ans. (2,10)
 Equations/169076: solve for the unknown: 2/3 /10 = 1.8/ r r= ? These are two sets of fractions with an = sign in the middle. I really don't know where to start. Maybe cross multiply?1 solutions Answer 124690 by checkley77(12569)   on 2008-11-22 19:15:15 (Show Source): You can put this solution on YOUR website!(2/3)/10=1.8/r 2/3r=1.8*10 2r/3=18 2r=3*18 2r=54 r=54/2 r=27 ans. Proof: (2/3)/10=1.8/27 2/3*27=1.8*10 18=18
 Equations/169078: This question is from textbook Intermediate Algebra 1. 4(x – 1) + 6 = 3x + 1 – 2x (solve for x) 2. (x – 2)/4 – 1/5 = (7x + 1)/20 3. Find the area of a triangle whose base is 1.3 feet and whose height is 1.5 feet.1 solutions Answer 124689 by checkley77(12569)   on 2008-11-22 19:12:06 (Show Source): You can put this solution on YOUR website!1. 4(x – 1) + 6 = 3x + 1 – 2x (solve for x) 4x-4+6=x+1 4x-x=1+4-6 3x=-1 x=-1/3 ans. 2. (x – 2)/4 – 1/5 = (7x + 1)/20 (x-2)/4-(7x+1)/20=1/5 [5(x-2)-7x-1]/20=1/5 (5x-10-7x-1)/20=1/5 5(-2x-11)=20 -10x-55=20 -10x=20+55 -10x=75 x=75/-10 x=-7.5 ans. 3.Find the area of a triangle whose base is 1.3 feet and whose height is 1.5 feet. a=bh/2 a=1.3*1.5/2 a=1.95/2 a=.975 ans.
 Percentage-and-ratio-word-problems/169040: A beaker contains 400L of a solution that is 32% acid. How much water should be added to make a solution that is 25% acid? I need help in organizing a chart showing how I got my answer. Thank you.1 solutions Answer 124683 by checkley77(12569)   on 2008-11-22 15:47:37 (Show Source): You can put this solution on YOUR website!.32*400=.25(400+x) 128=100+.25x .25x=128-100 .25x=28 x=28/.25 x=112 L of water is used. 128=.25(400+112) 128=.25*512 128=128
 Travel_Word_Problems/169023: A jet-liner and a propeller driven aircraft leave two cities 3000km apart at the same time and fly toward each other on a collision course. The flights are non-stop. If the propeller driven plane flies at 300km/h and the jet at 600km/h, how far will the jet fly before these planes crash?1 solutions Answer 124655 by checkley77(12569)   on 2008-11-22 09:54:52 (Show Source): You can put this solution on YOUR website!300x+600x=3000 900x=3000 x=3000/900 x=3.333 or 3 hours & 20 min. they will meet. 600*3.333=2,000 miles the jet will fly before crashing.
 expressions/169024: factor by grouping 5x^2+5xy+19x+19y1 solutions Answer 124652 by checkley77(12569)   on 2008-11-22 09:51:04 (Show Source): You can put this solution on YOUR website!5x^2+5xy+19x+19y 5X(X+Y)+19(X+Y) (5X+19)(X+Y) ans.
 Human-and-algebraic-language/169022: Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth?1 solutions Answer 124650 by checkley77(12569)   on 2008-11-22 09:49:03 (Show Source): You can put this solution on YOUR website!D=RT 100X=75(3.5-X) 100X=262.5-75X 100X+75X=262.5 175X=262.5 X=262.5/175 X=1.5 HOURS FOR THE 100 KMH DRIVE. 3.5-1.5=2 HOURS FOR THE 75 KMH DRIVE. 100*1.5=75*2 150=150 ANS. FOR THE DISTANCE BETWEEN BEDINGTON & PORTSMOUTH.
 Rational-functions/168950: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1 Crash Damage (\$) Goliath Varmint Weasel 1,600 1,290 1,090 760 1,400 2,100 880 1,390 1,830 1,950 1,850 1,250 1,220 950 1,920 1 solutions Answer 124648 by checkley77(12569)   on 2008-11-22 09:11:06 (Show Source): You can put this solution on YOUR website!NO. 760,880,1220,1600,1950 mean=1220 950,1290,13901400,1850 mean=1390 1090,1250,1830,1920,2100 mean=1830
 Expressions-with-variables/168978: 15x-10y=-5 15y=4+5x1 solutions Answer 124647 by checkley77(12569)   on 2008-11-22 08:48:37 (Show Source): You can put this solution on YOUR website!15y=4+5x or -5x+15y=4 now multiply this equation by 3 & add them 15x-10y=-5 -15x+45y=12 --------------------- 35y=7 y=7/35 y=1/5 ans. 15x+45*1/5=12 15x+9=12 15x=12-9 15x=3 x=3/15 x=1/5 ans. Proof: 15*1/5=4-5*1/5 15/5=4-5/5 3=4-1 3=3
 Linear-equations/169016: 2x-5y=201 solutions Answer 124646 by checkley77(12569)   on 2008-11-22 08:41:17 (Show Source): You can put this solution on YOUR website!If this is a linear equation THEN: 2x-5y=20 -5y=-2x+20 y=-2x/-5+20/-5 y=2x/5-4 (graph 300x300 pixels, x from -6 to 15, y from -10 to 10, 2x/5 -4).
 expressions/168994: factor 15x^3-32x^2+16x1 solutions Answer 124624 by checkley77(12569)   on 2008-11-21 20:59:32 (Show Source): You can put this solution on YOUR website!15x^3-32x^2+16x x(15x^2-32x+16) x(5x-4)(3x-4) ans.
 Linear-equations/168981: Graph each line using y-intercept and slope: y+4x=8 Thank you1 solutions Answer 124623 by checkley77(12569)   on 2008-11-21 20:54:59 (Show Source): You can put this solution on YOUR website!y+4x=8 y=-4x+8 This line has a slope (m)=-4 & a y intercept (b)= 8. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -4x +8).
 Miscellaneous_Word_Problems/168984: If boat goes downstream 72 miles in 3hrs and upstream 60 miles in 6hrs, the rate of the river and the rate of the boad in still water respectively are ___?1 solutions Answer 124621 by checkley77(12569)   on 2008-11-21 20:51:59 (Show Source): You can put this solution on YOUR website!72/3=24 mph downstream. 60/6=10 mph up stream. (24-10)/2 14/2=7 mph is the current. Proof: 24-7=17 mph is the speed of the boat. 10+7=17 ditto.
 expressions/168995: factor a^2-b^2+8a-8b1 solutions Answer 124619 by checkley77(12569)   on 2008-11-21 20:47:21 (Show Source): You can put this solution on YOUR website!a^2-b^2+8a-8b (a+b)(a-b)+8(a-b) (8+a+b)(a-b) ans.
 expressions/168990: factor 16x^2-25y^21 solutions Answer 124617 by checkley77(12569)   on 2008-11-21 20:45:20 (Show Source): You can put this solution on YOUR website!16x^2-25y^2 (4x+5y)(4x-5y) ans.
 expressions/168992: factor b^2-4b-51 solutions Answer 124616 by checkley77(12569)   on 2008-11-21 20:44:13 (Show Source): You can put this solution on YOUR website!b^2-4b-5 (b-5)(b+1) ans.
 expressions/168991: factor 16x^2-40+251 solutions Answer 124615 by checkley77(12569)   on 2008-11-21 20:42:59 (Show Source): You can put this solution on YOUR website!16x^2-40[x]+25 I'll assume you forgot the x. (4x-5)(4x-5) or (4x-5)^2 ans.
 expressions/168987: find the gcf of the set monomials 240, 1921 solutions Answer 124613 by checkley77(12569)   on 2008-11-21 20:40:39 (Show Source): You can put this solution on YOUR website!240=2x2x2x2x3x5 192=2x2x2x2x2x2x3 gcf=2x2x2x2x3=48 is the gcf. Proof: 240/48=5 192/48=4
 Linear-equations/168985: parallel, perpendicular or neither: y=x+7 y=-x+21 solutions Answer 124611 by checkley77(12569)   on 2008-11-21 20:32:12 (Show Source): You can put this solution on YOUR website!Because the slopes are negative recipricals of each other then these lines are perpendicular. y=x+7 (red line) y=-x+2 (green line) (graph 300x300 pixels, x from -10 to 5, y from -6 to 10, of TWO functions x +7 and -x +2).
 Linear-systems/168823: y-11=3x-6 1 solutions Answer 124610 by checkley77(12569)   on 2008-11-21 20:27:27 (Show Source): You can put this solution on YOUR website!y-11=3x-6 y=3x-6+11 y=3x+5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x +5).
 Graphs/168976: I need help on finding an equation of the line having given the slope and containing the given points. Here is the equation: m=6/7,(6, -3)1 solutions Answer 124606 by checkley77(12569)   on 2008-11-21 20:18:41 (Show Source): You can put this solution on YOUR website!Y=mX+b -3=6/7*6+b -3=36/7+b b=-3-36/7 b=(-3*7-36)/7 b=(-21-36)/7 b=-57/7 the y intercept. y=6x/7-57/7 ans. (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, 6x/7 -57/7).
 Geometry_proofs/168900: What are the importance of proofs? When will i ever use them in life?1 solutions Answer 124531 by checkley77(12569)   on 2008-11-21 08:48:46 (Show Source): You can put this solution on YOUR website!Have you ever had to find a missing penny in your checking acount???
 expressions/168810: 25-3/7f=19+4/7f1 solutions Answer 124530 by checkley77(12569)   on 2008-11-21 08:47:00 (Show Source): You can put this solution on YOUR website!25-3/7f=19+4/7f -3f/7-4f/7=19-25 -7f/7=-6 -f=-6 f=6 ans. 25-3/7*6=19+4/7*6 25-18/7=19+24/7 25-19=24/7+18/7 6=42/7 6=6