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# Recent problems solved by 'checkley77'

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 Numeric_Fractions/193196: write the reduced fraction and decimal form of 3.40%1 solutions Answer 145036 by checkley77(12569)   on 2009-04-26 16:12:41 (Show Source): You can put this solution on YOUR website!3.40%=340/100=3.4 is the decimal form. 340/100=34/10=17/5 or 3 2/5 is the fractional form.
 Miscellaneous_Word_Problems/193176: I am a mess when it comes to word problems, well math in general.. Would someone please help. This is on a handout, not in our text. Sam wishes to fertilize his lawn that is 16 yards by 70 yards. The organic fertilizer costs \$5.75 per bag. Each bag covers 525 square feet. What is the cost to fertilize his yard? 1 solutions Answer 145035 by checkley77(12569)   on 2009-04-26 16:09:01 (Show Source): You can put this solution on YOUR website!(16*70*9/525)*5.75=10,080/525*5.75=19.2*5.75=\$110.40 is the cost of the fertilizer. Note: the 9 converts square yards to square ft.
 Rectangles/193072: what is the area of a rectangle length 8 meters perimeter 30 meters 1 solutions Answer 144942 by checkley77(12569)   on 2009-04-25 18:02:35 (Show Source): You can put this solution on YOUR website!L=8 METERS IS THE LENGTH. 2L+2W=30 2*8+2W=30 16+2W=30 2W=30-16 2W=14 W=14/2 W=7 METERS IS THE WIDTH. AREA=6*8=48 ANS. FOR THE AREA.
 Coordinate-system/192870: Plot the graph of the equations 2x - 3y = 5 and 4x - 6y = 21 and interpret the result. 1 solutions Answer 144873 by checkley77(12569)   on 2009-04-24 21:06:53 (Show Source): You can put this solution on YOUR website!2x - 3y = 5 -3y=-2x+5 y=-2x/-3+5/-3 y=2x/3-5/3 (red line) ------------------------- 4x - 6y = 21 -6y=-4x+21 y=-4x/-6+21/-6 y=2x/3-7/2 (green line) ------------------------- (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 -5/3 and 2x/3 -7/2). Lines are parallel thus there is no unique (single solution) for x or y.
 Linear-equations/192981: Fundraising- The St. Marks Community Barbecue served 250 dinners. A child's plate cost 3.50 and an adult's plate cost 7.00. A total of 1347.50 was collected. How many of each type of plate was served? 1 solutions Answer 144872 by checkley77(12569)   on 2009-04-24 20:58:26 (Show Source): You can put this solution on YOUR website!a+c=250 or a=250-c 7a+3.5c=1,347.50 7(250-c)+3.5c=1,347.50 1,750-7c+3.5c=1,347.50 -3.5c=1,347.5-1,750 -3.5c=-402.5 c=-402.50/-3.5 c=115 is the number of children plates. a=250-115=135 is the number of adult plates sold. Proof 7*135+3.5*115=1,374.50 945+402.5=1,374.50 1,374.50=1,374.50
 Money_Word_Problems/192991: One year ago Walt invested \$12,000. He invested part of the money at 7% and the rest at 9%. He made a total of \$970 in interest. How much was invested at 7%?1 solutions Answer 144871 by checkley77(12569)   on 2009-04-24 20:46:26 (Show Source): You can put this solution on YOUR website!.07x+.09(12,000-x)=970 .07x+1,080-.09x=970 -.02x=970-1,080 .02x=110 x=110/.02 x=\$5,500 is the amount nvested @ 7%. 12,000-5,500=\$6,500 amount invested @ 9%. Proof: .07*5,500+.09*6,500=970 385+585=970 970=970
 Coordinate-system/192854: graph the equation -x-5y=-21 solutions Answer 144786 by checkley77(12569)   on 2009-04-24 11:15:58 (Show Source): You can put this solution on YOUR website!-x-5y=-2 -5y=x-2 y=x/-5-2/-5 y=-x/5+2/5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x/5 +2/5).
 Probability-and-statistics/192903: A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?1 solutions Answer 144785 by checkley77(12569)   on 2009-04-24 11:12:18 (Show Source): You can put this solution on YOUR website!35x=56(x-1.5) 35x=56x-84 35x-56x=-84 -21x=-84 x=-84/-21 x=4 hours. 4-1.5=2.5 hours after the express train left it will overtake the local train.
 Probability-and-statistics/192906: Al goes 8 mph; Ben goes 22 mph in the opposite direction. How many hours has Ben traveled when they are 180 miles apart? If x is the time that Al travels, then which of the following is the time Ben travels?1 solutions Answer 144784 by checkley77(12569)   on 2009-04-24 11:05:34 (Show Source): You can put this solution on YOUR website!8x+22x=180 30x=180 x=180/30 x=6 hours is the travel time. 6*22=132 miles is Bens travel distance. Proof: 8*6+132=180 48+132=180 180=180
 Equations/192913: Find the slope of the line that passes through (-5,-3) and (7,-11) thanks1 solutions Answer 144783 by checkley77(12569)   on 2009-04-24 11:02:16 (Show Source): You can put this solution on YOUR website!(-5,-3) and (7,-11) slope=(y2-y1)/x2-x1)=(-11+3)/(7+5)=-8/12=-2/3 ans. for the slope. Y=mX+b -3=-2/3*-5+b -3=10/3+b b=-3-10/3 b=(-3*3-10)/3 b=(-9-10)/3 b=-19/3 y intercept. y=-2x/3-19/3 ans. for the line equation (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x/3 -19/3).
 Polynomials-and-rational-expressions/192919: Use foil to multiply: (5x -6)(3x - 4)1 solutions Answer 144781 by checkley77(12569)   on 2009-04-24 10:55:28 (Show Source): You can put this solution on YOUR website!(5x-6) (3x-4) ----------------- 15x^2-20x-18x+24 15x^2-38x+24 ans.
 Exponents-negative-and-fractional/192931: For f(x) = 2x - 11, find f(2) 1 solutions Answer 144780 by checkley77(12569)   on 2009-04-24 10:53:16 (Show Source): You can put this solution on YOUR website!For f(x) = 2x - 11 for x=2 f(2)=2*2-11 f(2)=4-11 f(2)=-7
 Polynomials-and-rational-expressions/192814: Please help. Translate into a mathematical equation, solve and answer the question. THE SUM OF AN INTEGER AND ITS SQUARE (THAT INTEGER MULTIPLYIED TIMES ITSELF) IS 132. WHAT COULD THAT INTEGER BE.1 solutions Answer 144716 by checkley77(12569)   on 2009-04-23 18:07:05 (Show Source): You can put this solution on YOUR website!X+X^2=132 X^2+X-132=0 (X+12)(X-11)=0 X=-12 ANS. X-11=0 X=11 ANS. PROOFS: -12-12^2=132 -12+144=132 132=132 11+11^2=132 11+121=132 132=132
 Polynomials-and-rational-expressions/192815: Please help. Translate into a mathematical equation, solve and answer the question. THE LENGTH OF A RECTANGLE IS THREE TIMES IT'S WIDTH. IF THE AREA OF THAT RECTANGLE IS 75 SQUARE FEET, WHAT IS THE LENGTH?1 solutions Answer 144714 by checkley77(12569)   on 2009-04-23 18:01:53 (Show Source): You can put this solution on YOUR website!L=3W LW=75 3W*W=75 3W^2=75 W^2=75/3 W^2=25 W=SQRT25 W=5 ANS. FOR THE WIDTH. L=3*5=15 ANS. FOR THE LENGTH. pROOF: 5*15=75 75=75
 Linear-equations/192569: The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M. The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999) all lie on line N. a. Form the equations of both the lines. Show your work. b. What are the co-ordinates of the point of intersection of lines M and N? c. Write the co-ordinates of the intersections of lines M and N with the x-axis. d. Write the co-ordinates of the intersection of lines M and N with the y-axis. 1 solutions Answer 144587 by checkley77(12569)   on 2009-04-22 16:36:54 (Show Source): You can put this solution on YOUR website!The points (1, 3),(2, 5),(8, 17),(50, 101),and(1000, 2001) all lie on line M. Slope=(y2-y1)/(x2-x1)=(5-3)/(2-1)=2/1=2 Y=mX+b 3=.5*1+b b=3-.5 b=2.5 y intercept. y=.5x+2.5 (red line The points (1, -1),(2, -3),(8, -15),(50, -99),and(1000,-1999) all lie on line N. Slope=(-3+1)/(2-1)=-2/1=-2 -1=-2*1+b b=-1+2 b=1 y intercept. y=-2x+1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions .5x +2.5 and -2x +1). a. Form the equations of both the lines. Show your work. b. What are the co-ordinates of the point of intersection of lines M and N? c. Write the co-ordinates of the intersections of lines M and N with the x-axis. d. Write the co-ordinates of the intersection of lines M and N with the y-axis.
 Numbers_Word_Problems/192593: Find two positive integers whose difference is 4 and whose product is 961 solutions Answer 144585 by checkley77(12569)   on 2009-04-22 16:20:45 (Show Source): You can put this solution on YOUR website!Let x & x=4 be the 2 integers. x(x+4)=96 x^2+4x-96=0 (x-8)(x=12)=0 x-8=0 x=8 ans. for the smaller integer. 8+4=12for the larger integer. Proof: 8*12=96 96=96
 Miscellaneous_Word_Problems/192597: Would someone please help me figure out this word problem.. A car rental agency charges a weekly rate of \$250 for a car and an additional charge of 5 cents for each mile driven. How many miles can you travel in a week for \$500? Thanks.1 solutions Answer 144584 by checkley77(12569)   on 2009-04-22 16:17:31 (Show Source): You can put this solution on YOUR website!250+.05x=500 .05x=500-250 .05x=250 x=250/.05 x=5,000 miles can be driven for \$500.
 Linear-equations/192594: y=-2x-12 y=x-31 solutions Answer 144583 by checkley77(12569)   on 2009-04-22 16:14:21 (Show Source): You can put this solution on YOUR website!y=-2x-12 y=x-3 -2x-12=x-3 -2x-x=-3+12 -3x=9 x=9/-3 x=-3 ans. y=-3-3 y=-6 ans. Proof: -6=-2*-3-12 -6=6-12 -6=-6
 Expressions-with-variables/192596: what is (d^5+7)+(d^3+1)1 solutions Answer 144582 by checkley77(12569)   on 2009-04-22 16:11:24 (Show Source): You can put this solution on YOUR website!(d^5+7)+(d^3+1) d^5+d^3+8 d^3(d^2+1)+8
 Linear-equations/192518: Can you please help me find an equation of the line containing the given pair of points? (1,3)and(3,4) Thank you so very much!!! 1 solutions Answer 144580 by checkley77(12569)   on 2009-04-22 16:01:52 (Show Source): You can put this solution on YOUR website!(1,3)and(3,4) Y=mX+b m=slope=(y2-y1)/(x2-x1)=(4-3)/(3-1)=1/2 or .5 is the slope. 3=1*.5+b 3=.5+b b=3-.5 b=2.5 is the y intercept. y=.5x+2.5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, .5x +2.5).
 Equations/192557: Simplify (-4x^3y^2)(-5^2y4)1 solutions Answer 144579 by checkley77(12569)   on 2009-04-22 15:52:17 (Show Source): You can put this solution on YOUR website!(-4x^3y^2) (-5^2y^4) OR 25Y^4 -4X^3Y^2 25Y^4 ---------------- -100X^3Y^6 ANS.
 Rectangles/192582: the width of a rectangle is 4 meters less than twice its length. If its area is 70 square meters, find the dimensions of the rectangle. Please show the formula/equation. 1 solutions Answer 144578 by checkley77(12569)   on 2009-04-22 15:47:38 (Show Source): You can put this solution on YOUR website!W=2L-4 WL=70 (2L-4)L=70 2L^2-4L-70=0 2(L^2-2L-35)=0 2(L-7)(L+5)=0 L-7=0 L=7 IS THE LENGTH OF THE RECTANGLE. W=2*7-4 W=14-4 W=10 IS THE WIDTH OF THE RECTANGLE. PROOF: 7*10=70 70=70
 Exponents/192586: Can someone help me with this problem. I think I can figure out the rest Evaluate and simplify; express answer with only positive exponents. (25a^8b^16)^-1/21 solutions Answer 144577 by checkley77(12569)   on 2009-04-22 15:39:22 (Show Source): You can put this solution on YOUR website!(25a^8b^16)^-1/2 1/sqrt(25a^8b^16) 1/5a^4b^8 ans.
 Exponents/192587: Can someone help me with this problem. I think I can figure out the rest Evaluate and simplify; express answer with only positive exponents. (25a^8b^16)^-1/21 solutions Answer 144576 by checkley77(12569)   on 2009-04-22 15:38:13 (Show Source): You can put this solution on YOUR website!(25a^8b^16)^-1/2 1/sqrt(25a^8b^16) 1/5a^4b^8 ans.
 Linear-systems/192592: Can you give me the anser for x=2-2y 2x + 3y=4 Can you also give me a short explanation on how to do it. thanks. 1 solutions Answer 144575 by checkley77(12569)   on 2009-04-22 15:35:14 (Show Source): You can put this solution on YOUR website!x=2-2y now substitute (2-2y) for x in the second equation & solve for y. 2x+3y=4 2(2-2y)+3y=4 4-4y+3y=4 -y=4-4 -y=0 y=0 ans. x=2-2*0 x=2-0 x=2 Proof: 2*2+3*0=4 4+0=4 4=4
 Miscellaneous_Word_Problems/192589: Three ducks and two ducklings weigh 32kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling together?1 solutions Answer 144574 by checkley77(12569)   on 2009-04-22 15:30:31 (Show Source): You can put this solution on YOUR website!3D+2d=32 multiply by -4 4D+3d=44 multiply by 3 & add them -12D-8d=-128 12D+9d=132 ------------------- d=4 kg. for each duckling. 3D+2*4=32 3D+8=32 3D=32-8 3D=24 D=24/3 D=8 kg. for each Duck. Proof: 4*8+3*4=44 32+12=44 44=44
 Linear-equations/192379: write an equation in slope -intercept form for the line through (-5,6) and (1,0) answer: y=-x +1 why is the answer y=-x+1 need full break down of why y=-x+1 is an equation in slope -intercept form for the line through (-5,6) and (1,0)1 solutions Answer 144459 by checkley77(12569)   on 2009-04-21 18:35:07 (Show Source): You can put this solution on YOUR website!Y=mX+b (-5,6) and (1,0) slope(m)=(y2-y1)/(x2-x1) slope=(0-6)/(1+5) slope=-6/6 slope=-1 0=-1*1+b 0=-1+b b=1 the y intercept. Y=-X+1
 Linear-equations/192380: write an equation in slope -intercept form for the line through (-5,6) and (1,0) answer: y=-x +1 why is the answer y=-x+1 need full break down of why y=-x+1 is an equation in slope -intercept form for the line through (-5,6) and (1,0)1 solutions Answer 144457 by checkley77(12569)   on 2009-04-21 18:33:55 (Show Source): You can put this solution on YOUR website!Y=mX+b (-5,6) and (1,0) slope(m)=(y2-y1)/(x2-x1) slope=(0-6)/(1+5) slope=-6/6 slope=-1 0=-1*1+b 0=-1+b b=1 the y intercept. Y=-X+1
 Unit_Conversion_Word_Problems/192397: After spending 5/12 of his salary, a man has \$420 left. What is his salary?1 solutions Answer 144453 by checkley77(12569)   on 2009-04-21 18:27:49 (Show Source): You can put this solution on YOUR website!X-5/12*X=420 X-5X/12=420 (12X-5X)/12=420 7X=12*420 7X=5040 X=5040/7 X=\$720 WAS THE ORIGINAL SALARY.
 Percentage-and-ratio-word-problems/192398: A stock decreases in value by 20 percent. By what percent must the stock price increase to its former value?1 solutions Answer 144450 by checkley77(12569)   on 2009-04-21 18:23:28 (Show Source): You can put this solution on YOUR website!X-.2X=.8X X/.8X=1.25 OR 125% INCREASE IS REQUIRED TO GET BACK TO THE ORIGINAL PRICE.