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# Recent problems solved by 'checkley71'

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 Equations/126554: 1/2x + 1/4y = 4, solve for y1 solutions Answer 92705 by checkley71(8403)   on 2008-02-12 15:43:51 (Show Source): You can put this solution on YOUR website!x/2+y/4=4 or y/4=-x/2+4 now cross multiply y=4(-x/4+4) or y=-4x+16 answer.
 Mixture_Word_Problems/126558: Two trains leave a city at the same time. One travels north, and the other travels south 20 mph. faster. In 2 hr, the trains are 280 miles apart. Find their speeds.1 solutions Answer 92703 by checkley71(8403)   on 2008-02-12 15:12:49 (Show Source): You can put this solution on YOUR website!2x+2(x+20)=280 or 2x+2x+40=280 or 4x=280-40 or 4x=240 x=240/4 or x=60 mph.
 Mixture_Word_Problems/126449: A person invested \$10,000.00. The greater part is invested at 6% and the remainder at 5%. The annual income from the greater part is \$160.00 more than the annual income from the smaller part. What is the smaller part of the investment?1 solutions Answer 92671 by checkley71(8403)   on 2008-02-12 10:31:36 (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=6000 the amount invested @ 6% 10,000-6,000=4,000 invested @ 5% PROOF: .06*6000=.05(4,000)+160 360=200+160 360=360
 Rational-functions/126459: This question is from textbook The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger train. The freight train travels 330 mi in the same time it takes the passenger train to travel 400 mi. Find the speed of each train. 1 solutions Answer 92670 by checkley71(8403)   on 2008-02-12 10:23:39 (Show Source): You can put this solution on YOUR website!400/x=300/(x-14) 400(x-14)=300x 400x-5600=300x 400x-300x=5600 100x=5600 x=5600/100 x=56 mph. for the faster train. 56-14=42 mph. is the speed of the slower train PROOF: 400/56=300/(56-14) 7.143=300/42 7.143=7.143
 Graphs/126490: Graph f(x)=3x+21 solutions Answer 92668 by checkley71(8403)   on 2008-02-12 10:12:48 (Show Source): You can put this solution on YOUR website!f(x)=3x+2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x +2).
 Linear-equations/126461: graph the line that passes through (5,4), parallel to the graph of 4.4x+6.5y=51 solutions Answer 92667 by checkley71(8403)   on 2008-02-12 10:10:34 (Show Source): You can put this solution on YOUR website!4.4x+6.5y=5 6.5y=-4.4x+5 6.5y=-4.4x+5 y=-4.4x/6.5+5/6.5 this line has a slope=(-4.4/6.5) (red line) Thus a parallel line will also have a slope=(-4.4/6.6) 4=(-4.4/6.5)5+b 4=-22/6.5+b 4+22/6.5=b b=(4*6.5+22)/6.5 b=(26+22)/6.5 b=48/6.5 thus the equation is: y=-4.4x/6.5+48/6.5 answer. (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -4.4x +5/6.5 and -4.4x/6.5 +5/6.5).
 Surface-area/126484: How many square tiles each of dimension 2m * 2m can be fixed on a verandah 2m. wide surrounding a rectangular room of length 20m. and breadth 15m.1 solutions Answer 92664 by checkley71(8403)   on 2008-02-12 09:52:37 (Show Source): You can put this solution on YOUR website!20*15=300 m^2 is the area of the veranda. (20+2*2)(15+2*2) 24*19=456 m^2 total area of veranda plus the addition. 456-300=156 m^2 area of the addition. 156/(2*2)=156/4=39 2X2 m tiles will do the job. NOTE: one tile will have to be cut in half.
 Percentage-and-ratio-word-problems/126462: A home was purchased for 300,000 depreciated 8%over a 1-year period.What was the value of the home at the end of the year?1 solutions Answer 92663 by checkley71(8403)   on 2008-02-12 09:40:18 (Show Source): You can put this solution on YOUR website!300,000(1-.08)=300,000*.92=\$276,000 answer.
 Quadratic_Equations/126468: A piece of sculpture is purchased for \$3000 in 1960. In 2008,the sculpture is valued at \$186000. What is the average annual rate of appreciation of the sculpture?1 solutions Answer 92661 by checkley71(8403)   on 2008-02-12 09:37:00 (Show Source): You can put this solution on YOUR website!186,000=3000(1+r)^48 186,000=3000(1+.089787)^48 186,000=3000(62) 186,000=186,000 Answer is 8.9787%.
 Length-and-distance/126377: Help please I can not figure this out! Thanks so much. The perimeter of a rectangle 48m. The length is 9m more than twice the width. What is the length please? Thank you for your help.1 solutions Answer 92593 by checkley71(8403)   on 2008-02-11 19:15:00 (Show Source): You can put this solution on YOUR website!L=2W+9 2L+2W=48 2(2W+9)+2W=48 4W+18+2W=48 6W=48-18 6W=30 W=30/6 W=5 ANSWER FOR THE WIDTH. L=2*5+9 L=10+9 L=19 PROOF: 2*19+2*5=38+10=48
 Quadratic_Equations/126251: express x^2 + 6x + 1 in the form (x+a)^2 + b1 solutions Answer 92589 by checkley71(8403)   on 2008-02-11 18:56:31 (Show Source): You can put this solution on YOUR website!X^2+6X+1 (X^2+6X+9)+1-9 (X+3)^2-8
 absolute-value/126373: What is the value of X? Problem: X/6 6/91 solutions Answer 92586 by checkley71(8403)   on 2008-02-11 18:50:44 (Show Source): You can put this solution on YOUR website!X/6=6/9 9X=36 X=36/9 X=4 ANSWER.
 Numbers_Word_Problems/126261: A lever 12 m long balances weights of 48 kg on one end and 24 kg on the other end. Find the lengths of the two arms of the lever?1 solutions Answer 92584 by checkley71(8403)   on 2008-02-11 18:49:09 (Show Source): You can put this solution on YOUR website!48*x=24(12-x) 48x=288-24x 48x+24x=288 72x=288 x=288/72 x=4m is the length of the arm with the 48kg. weight. 12-4=8m is the other arm. proof 48*4=24*8 192=192
 Graphs/126306: This question is from textbook Structure and Method Book 1 -2x+3y=41 solutions Answer 92583 by checkley71(8403)   on 2008-02-11 18:42:29 (Show Source): You can put this solution on YOUR website!-2x+3y=4 or 3y=2x+4 or y=2x/3+4/3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x/3 +4/3).
 Geometry_Word_Problems/126361: The lengths of two sides of a parallelogram are consecutive even integers and the perimeter of the parallelogram is 36 cm. What is the length of the longer side?1 solutions Answer 92576 by checkley71(8403)   on 2008-02-11 18:21:40 (Show Source): You can put this solution on YOUR website!2x+2(x+2)=36 or 2x+2x+4=36 or 4x=36-4 or 4x=32 or x=32/4 or x=8 answer for the shorter side. 8+2=10 for the longer side. PROOF:2*8+2*10=36 or 16+20=36 or 36=36
 percentage/126364: 15 is 20% of what number1 solutions Answer 92573 by checkley71(8403)   on 2008-02-11 18:17:44 (Show Source): You can put this solution on YOUR website!15=.2x or x=15/.2 or x=75 answer.
 Linear_Equations_And_Systems_Word_Problems/126300: What multiplier should be used for each of the following equations to eliminate one unknown by subtraction? 3x-y = 7 2x+7y = 421 solutions Answer 92572 by checkley71(8403)   on 2008-02-11 18:13:18 (Show Source): You can put this solution on YOUR website!7(3x-y=7) will eliminate the y variable when added to the other equation-thus: 21x-7y=49 2x+7y=42 -------------------- 23x=91
 Graphs/126304: This question is from textbook Structure and Method Book 1 3x-y=101 solutions Answer 92569 by checkley71(8403)   on 2008-02-11 18:05:49 (Show Source): You can put this solution on YOUR website!3x-y=10 or -y=-3x+10 or y=3x-10 answer. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -10).
 Mixture_Word_Problems/126333: In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 2% solution to get a 14% solution. How many liters of 20% solution are needed?1 solutions Answer 92567 by checkley71(8403)   on 2008-02-11 18:02:47 (Show Source): You can put this solution on YOUR website!I'll assume the 2% should be 20%. The only number that makes any sense. .12*12+.2x=.14(12+x) or 1.44+.2x=1.68+.14x or .2x-.14x=1.68-1.44 or .06x=.24 or x=.24/.06 or x=4 liters of 20% solution is needed. PROOF: .12*12+.2*4=.14(12+4) or 1.44+.8=.14*16 or 2.24=2.24.
 Pythagorean-theorem/126357: if A is equal to 5 and B is equal to 2,what is the C equal to?1 solutions Answer 92564 by checkley71(8403)   on 2008-02-11 17:49:51 (Show Source): You can put this solution on YOUR website!5^2+2^2=c^2 or 25+4=c^2 or 29=c^2 or c=sqrt29 or c=5.385 answer.
 Polygons/126359: a quadrilateralhas four angle...each angle has a different measurment.. i have to figure out the value of x with the information below The measurement of angle A is (4x+10)degrees The measurement of angle B is 108 degrees The measurement of angle C is 67 Degrees The measurement of angle D is 3x dergrees Help please!!!! i dont get it....thanx alot1 solutions Answer 92562 by checkley71(8403)   on 2008-02-11 17:46:56 (Show Source): You can put this solution on YOUR website!4x+10+108+67+3x=360 or 7x=360-10-108-67 or 7x=175 or x=175/7 or x=25 4*25+10=100+10=110 for the first angle. 3*25=75 for the last angle. PROOF: 110+108+67+75=360 or 360=360.
 Money_Word_Problems/126354: Mardi Received an inheritance of \$60,000. She invested part at 7% and deposited the remainder in tax free bonds at 8%. Her total annual income from the investments was \$4,300. Find the amount invested at 7%. If anyone could help that would be great! thanks.1 solutions Answer 92559 by checkley71(8403)   on 2008-02-11 17:40:45 (Show Source): You can put this solution on YOUR website!.07x+.08(60000-x)=4300 or .07x+4800-.08x=4300 or -.01x=4300-4800 or -.01x=-500 or x=-500/-.01 or x=\$50,000 is the the amount invested @ 7%. PROOF: .07*50000+.08(60000-50000)=4300 or 3500+.08*10000=4300 or 3500+800=4300 or 4300=4300.
 Systems-of-equations/126352: Solve each of the following systems by substitution. 5x - 2y=-5 y - 5x = 31 solutions Answer 92556 by checkley71(8403)   on 2008-02-11 17:28:33 (Show Source): You can put this solution on YOUR website!y-5x=3 or y=5x+3 5x-2(5x+3)=-5 5x-10x-6=-5 -5x=-5+6 -5x=1 x=1/-5 x=-1/5 answer. y=5*-1/5+3 y=-1+3 y=2 answer. proof: 5*-1/5-2*2=-5 -1-4=-5 -5=-5
 Travel_Word_Problems/126310: Find the distance covered by a car traveling 60mph for 5hrs1 solutions Answer 92553 by checkley71(8403)   on 2008-02-11 17:23:55 (Show Source): You can put this solution on YOUR website!60*5=300 miles can be covered in 5hours @ 60mph.
 Polynomials-and-rational-expressions/126345: How would you factor the expression 4a^2-36b^2?1 solutions Answer 92549 by checkley71(8403)   on 2008-02-11 17:18:19 (Show Source): You can put this solution on YOUR website!4a^2-36b^2 or (2a+6b)(2a-6b)
 Systems-of-equations/126350: This question is from textbook algerba x-5y=91 solutions Answer 92548 by checkley71(8403)   on 2008-02-11 17:16:05 (Show Source): You can put this solution on YOUR website!x-5y=9 or -5y=-x+9 or y=-x/-5+9/-5 or y=x/5-9/5 (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, x/5 -9/5).
 Quadratic_Equations/126193: x^2=-1211 solutions Answer 92504 by checkley71(8403)   on 2008-02-11 09:47:47 (Show Source): You can put this solution on YOUR website!x^2=-121 taking the sqrt of both sides we get: x=11i answer.
 Graphs/126199: Angus invested \$18,000, part at 3% and part at 5%. If the total interest at the end of the year is \$660, how much did he invest at each rate?1 solutions Answer 92502 by checkley71(8403)   on 2008-02-11 09:44:07 (Show Source): You can put this solution on YOUR website!.05x+.03(18000-x)=660 .05x+540-.03x=660 .02x=660-540 .02x=120 x=120/.02 x=6000 amount invested @ 5%. 18000-6000=12000 invested @ 3%. proof: .05*6000+.03*12000=660 300+360=660 660=660
 Linear-equations/126217: This question is from textbook GRAPH Y=X-51 solutions Answer 92501 by checkley71(8403)   on 2008-02-11 09:39:00 (Show Source): You can put this solution on YOUR website!Y=X-5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x -5).
 Graphs/126245: Solve each of the following systems by graphing. x-2y=8 3x-2y=121 solutions Answer 92499 by checkley71(8403)   on 2008-02-11 09:35:30 (Show Source): You can put this solution on YOUR website!x-2y=8 or -2y=-x+8 or y=-x/-2+8/-2 or y=x/2-4 (red line) 3x-2y=12 or -2y=3x+12 or y=3x/-2+12/-2 or y=-3x/2-6 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x/2 -4 and -3x/2 -6). INTERSECTION (-1,-4.5)
 Expressions-with-variables/126247: the difference of 12 and a number1 solutions Answer 92498 by checkley71(8403)   on 2008-02-11 09:27:35 (Show Source): You can put this solution on YOUR website!12-x (x being the number.)