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# Recent problems solved by 'checkley77'

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 Trigonometry-basics/153998: I need to subtract two rational expressions, and the problem is ((3a+2b)/(3b)) - ((a+2b)/(6a)) I do not understand how to find the lowest common denominator, and what to do after I do find it.1 solutions Answer 113348 by checkley77(12569)   on 2008-08-28 17:32:32 (Show Source): You can put this solution on YOUR website!((3a+2b)/(3b))-((a+2b)/(6a)) [(3a+2b)(6a)-(a+2b)(3b)]/3b*6a [18a^2+12ab-3ab-6b^2]/18ab (18a^2+9ab-6b^2)/18ab 3(6a^2+3ab-2b^2)/18ab [cancel out the factor 3 from the numerator & denominator.] (6a^2+3ab-2b^2/6ab
 Graphs/154001: how can you get 37.5% into day form to see how many hourse in a day that is?1 solutions Answer 113346 by checkley77(12569)   on 2008-08-28 17:24:46 (Show Source): You can put this solution on YOUR website!37.5%*24 .375*24=9 hours.
 Expressions-with-variables/154002: This question is from textbook Algebra 1 expressions, equations, and Applications This question is out of my textbook for Algebra. It says For problems 3 through 14, evaluate the expressions by substituting the given values of the variable. 3. 5+x, if a. x is 4 b. x is 17 Can you help me???1 solutions Answer 113345 by checkley77(12569)   on 2008-08-28 17:23:18 (Show Source): You can put this solution on YOUR website!3. 5+x, if a. x is 4 b. x is 17 5+4=9 answer. 5+17=22 answer.
 Polynomials-and-rational-expressions/154000: Write without negative exponents: 6/(st)^-21 solutions Answer 113344 by checkley77(12569)   on 2008-08-28 17:21:44 (Show Source): You can put this solution on YOUR website!6/(st)^-2 6/s^-2t^-2 6s^2t^2
 Geometry_Word_Problems/153997: Can Someone please help me, I tried to solve this but I not sure of my answer: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions? This is what I got I think it wrong: 3X*X=75 3X^2=75 X^2=75/3 X^2=25 X=SQRT25 X=5 ANSWER FOR THE WIDTH. 3*5=15 ANSWER FOR THE LENGTH. 15*5 = 75 I really need someone help. Thank you, J1 solutions Answer 113343 by checkley77(12569)   on 2008-08-28 17:19:12 (Show Source): You can put this solution on YOUR website!3X*X=75 3X^2=75 X^2=75/3 X^2=25 X=SQRT25 X=5 ANSWER FOR THE WIDTH. 3*5=15 ANSWER FOR THE LENGTH. [Proof:] 15*5 = 75 What is your problem? You have a valid proof.
 Human-and-algebraic-language/153972: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water? 1 solutions Answer 113342 by checkley77(12569)   on 2008-08-28 17:15:10 (Show Source): You can put this solution on YOUR website!distance=rate*time d=rt d/r=t 60/(r-3)+60/(r+3)=9 [60(r+3)+60(r-3)]/(r-3)(r+3)=9 60r+180+60r-180=9(r-3)(r+3) 120r=9(r^2-9) 120r=9r^2-81 9r^2-120r-81=0 r=(120+-sqrt[-120^2-4*9*-81])/2*9 r=(120+-sqrt[14,400+2,916])/18 r=(120+-sqrt17,316)/18 r=(120+-131.59)/18 r=(120+131.59)/18 r=251.59/18 r=13.98 mph for the speed of the boat. proof: 60/(13.98-3)+60/13.98+3)=9 60/10.98+60/16.98=9 5.4645+3.5335=9 9~9
 Trigonometry-basics/153916: Help with sequences, induction and probability? i have a figure with 4 squares: square 1: 3 in wide square 2: 6 in wide square 3: 9 in wide (yellow) square 4: 12 in wide find the probability that a dart will land in the yellow region.1 solutions Answer 113302 by checkley77(12569)   on 2008-08-28 10:21:17 (Show Source): You can put this solution on YOUR website!total area=12*12=144in ^2 area of yellow square=9*9=81 area of 6in square=6*6=36 yellow area=81-36=45 in^2 45/144=.3125 or 31.25 % probability of landing on in yellow area.
 Sequences-and-series/153917: 1 solutions Answer 113299 by checkley77(12569)   on 2008-08-28 10:15:40 (Show Source): You can put this solution on YOUR website!20!/2!18! 2.4329*10^18/2*6.4024*10^15 2.4329*10^18/1.2805*10^16=190 answer.
 expressions/153920: evaluate -2a+6b when a = 6 and b =-31 solutions Answer 113297 by checkley77(12569)   on 2008-08-28 10:05:22 (Show Source): You can put this solution on YOUR website!-2a+6b when a = 6 and b =-3 -2*6+6*-3 -12-18=-30
 Money_Word_Problems/153783: the sum of the page numbers on consecutive pages of a book is 267. what are the page numbers?1 solutions Answer 113296 by checkley77(12569)   on 2008-08-28 10:03:18 (Show Source): You can put this solution on YOUR website!x+(x+1)=267 2x=267-1 2x=266 x=266/2 x=133 for the first page number & 133+1=134 for the second page number. Proof: 133+134=267 267=267
 Linear-equations/153785: This question is from textbook Mathmematics an applied approach Plot each pair of points and find the slope of the line containing them. Interpret the slope and graph the line. (2,0);(2.2) I can graph it but don't under the rest of what the book is asking1 solutions Answer 113295 by checkley77(12569)   on 2008-08-28 10:00:02 (Show Source): You can put this solution on YOUR website!(2,0);(2.2) First we find the slope: slope=(y2-y1)/(x2-x1) slope=(2-0)/(2-2) slope=2/0 this indicates a verticle line through the point x=2. all the y points on this line contain an x value=2. Thus: (2,0), (2,15), (2,-5), (2,-8) etc.
 decimal-numbers/153792: Hi. Please explain the following. Simplify: x-xy Change to a reduced fraction or mixed number: 2.375 = Change to a decimal number: 5/8 and 5/6 Convert to a decimal number: 6 1/2% and 3 3/10 - 1 11/15 Thanks!1 solutions Answer 113293 by checkley77(12569)   on 2008-08-28 09:47:56 (Show Source): You can put this solution on YOUR website!x-xy=x(1-y) 2.375=2 3/8=19/8 5/8=.625, 5/6=.8333 6 1/2%=6.5%=.065 3 3/10-1 11/15=3.3-1.7333=1.5667
 Graphs/153795: This question is from textbook Prentice Hall Mathematics How do I graph and solve this inequality?? 9(x+2) > 9(x-3)1 solutions Answer 113292 by checkley77(12569)   on 2008-08-28 09:43:15 (Show Source): You can put this solution on YOUR website!9(x+2) > 9(x-3) 9x+18>9x-27 9x-9x>-27-18 0>-45
 Quadratic_Equations/153815: the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?1 solutions Answer 113291 by checkley77(12569)   on 2008-08-28 09:41:08 (Show Source): You can put this solution on YOUR website!2*100+2*60=200+120=320 is the perimeter of the pool. 2(100+2x)+2(60+2x)=450 this is the perimeter of the pool plus the sidewalk. 200+4x+120+4x=450 8x+320=450 8x=450-320 8x=130 x=130/8 x=16.25 ft is the width of the sidewalk. proof: 2(100+32.5)+2(60+32.5)=450 2*132.5+2*92.5=450 265+185=450 450=450
 Quadratic_Equations/153816: write an equation to solve this problem.the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?1 solutions Answer 113290 by checkley77(12569)   on 2008-08-28 09:40:30 (Show Source): You can put this solution on YOUR website!2*100+2*60=200+120=320 is the perimeter of the pool. 2(100+2x)+2(60+2x)=450 this is the perimeter of the pool plus the sidewalk. 200+4x+120+4x=450 8x+320=450 8x=450-320 8x=130 x=130/8 x=16.25 ft is the width of the sidewalk. proof: 2(100+32.5)+2(60+32.5)=450 2*132.5+2*92.5=450 265+185=450 450=450
 Quadratic_Equations/153850: write an equation to solve this problem. the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?1 solutions Answer 113289 by checkley77(12569)   on 2008-08-28 09:38:22 (Show Source): You can put this solution on YOUR website!2*100+2*60=200+120=320 is the perimeter of the pool. 2(100+2x)+2(60+2x)=450 this is the perimeter of the pool plus the sidewalk. 200+4x+120+4x=450 8x+320=450 8x=450-320 8x=130 x=130/8 x=16.25 ft is the width of the sidewalk. proof: 2(100+32.5)+2(60+32.5)=450 2*132.5+2*92.5=450 265+185=450 450=450
 Equations/153861: write an equation to solve the problem. the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?1 solutions Answer 113288 by checkley77(12569)   on 2008-08-28 09:36:52 (Show Source): You can put this solution on YOUR website!2*100+2*60=200+120=320 is the perimeter of the pool. 2(100+2x)+2(60+2x)=450 this is the perimeter of the pool plus the sidewalk. 200+4x+120+4x=450 8x+320=450 8x=450-320 8x=130 x=130/8 x=16.25 ft is the width of the sidewalk. proof: 2(100+32.5)+2(60+32.5)=450 2*132.5+2*92.5=450 265+185=450 450=450
 Linear-equations/153911: This question is from textbook elementary & Intermediate Algebra I would like to see a step by step solving for y=4x. HOw do I figure the plotting points?1 solutions Answer 113287 by checkley77(12569)   on 2008-08-28 09:28:03 (Show Source): You can put this solution on YOUR website!y=4x To find the plotting points make a table assigning a value for x & solving for y: x------y 1------4 when x=1 then y=4 2------8 when x=2 then y=8 -3-----12 when x=-3 then y=-12 0------0 when x=0 then y=0 now plot these points & you'll have the line y=4x. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 4x).
 Linear-systems/153912: Find the equation of the line, write your answer in slope intercept. The line goes (1,4) and is parellel to x-2y=6 I have come up with the slope, I believe it is (1/2, -3)Is this correct?1 solutions Answer 113286 by checkley77(12569)   on 2008-08-28 09:22:37 (Show Source): You can put this solution on YOUR website!x-2y=6 -2y=-x+6 y=-x/-2+6/-2 y=x/2-3 this line has a slope=1/2 Y=mX+b is the line equation. Now replace y with (4) & x with (1) & solve for b the y intercept. 4=1/2+b b=4-1/2 b=3.5 the y intercept. y=x/2+3.5 This is the equation of the line with a slope=1/2 & passing through the point (1,4) (graph 300x200 pixels, x from -8 to 8, y from -10 to 10, x/2 +3.5).
 Linear_Equations_And_Systems_Word_Problems/153807: HELP ME.. juan and peter both leave a shopping center at the same time going in opposite directions. Juan is on his bike and travels 3mps faster than peter who is on his skateboard. after 1.5 hours they are 19.5 miles apart. How fast does peter travel? answer is.... 5mph I NEED THE SOLUTION :(1 solutions Answer 113193 by checkley77(12569)   on 2008-08-27 17:44:16 (Show Source): You can put this solution on YOUR website!(X+X+3)1.5=9 (2X+3)1.5=9 3X+4.5=9 3X=9-4.5 3X=4.5 X=4.5/3 X=1.5 MPH FOR SKATEBOARDER. 1.4+3=4.5 MPH FOR THE BIKER. PROOF: (1.5+1.5+3)1.5=9 6*1.5=9 9=9
 Linear_Equations_And_Systems_Word_Problems/153806: one half of the total of 6 times a number and 20 is 4. what is the number? thanks...1 solutions Answer 113192 by checkley77(12569)   on 2008-08-27 17:40:39 (Show Source): You can put this solution on YOUR website!(6X+20)/2=4 CROSS MULTIPLY 6X+20=8 6X=8-20 6X=-12 X=-12/6 X=-2 ANSWER. PROOF: (6*-2+20)/2=4 (12-20)/2=4 8/2=4 4=4
 Finance/153804: When doing an equation such as... Negatuve one eigth of a number is -3/4 What am I to do1 solutions Answer 113191 by checkley77(12569)   on 2008-08-27 17:37:40 (Show Source): You can put this solution on YOUR website!-1/8*X=-3/4 -X/8=-3/4 NOW CROSS MULTIPLY -4X=-24 X=-24/-4 X=6 ANSWER. PROOF: -6/8=-3/4 -3/4=-3/4
 Expressions-with-variables/153805: My homework is about making algebraic statements. Can you please help me with "A rectangle is 5 times as long as it is wide. If it is w feet wide, how long is it? What is the perimeter?"1 solutions Answer 113190 by checkley77(12569)   on 2008-08-27 17:35:28 (Show Source): You can put this solution on YOUR website!W=WIDTH. THEN LENGTH=5*W. PERIMETER=2*L+2*W PERIMETER=2*5W+2W PERIMETER=10W+2W PERIMETER=12W
 Functions/153800: how do i do distributive property on a fraction such as:2 thirds(9b-27)?this is from lesson1-7 1 solutions Answer 113189 by checkley77(12569)   on 2008-08-27 17:32:37 (Show Source): You can put this solution on YOUR website!2/3(9B-27) (2*9B+2*-27)/3 (18B-54)/3 6B-18 6(B-3)
 Graphs/153802: How do you do slope? can you give me the best way of understanding slopes?1 solutions Answer 113188 by checkley77(12569)   on 2008-08-27 17:29:10 (Show Source): You can put this solution on YOUR website!GIVEN 2 POINTS (-2,5) & (4,-6) USE THE SLOPE FORMULA: (Y2-Y1)/(X2-X1) OR: (-6-5)/(4+2)=-11/6 WHICH IS THE SLOPE OF A LINE THROUGH THESE 2 POINTS.
 Travel_Word_Problems/153794: how fast did a car go to overtake a bus in 6 hours if the bus average 45mph and left 3 hours befor the car?1 solutions Answer 113187 by checkley77(12569)   on 2008-08-27 17:26:20 (Show Source): You can put this solution on YOUR website!6X=45(3+6)9 6X=45*9 6X=405 X=405/6 X=67.5 MPH IS THE SPEED OF THE CAR.
 Graphs/153797: This question is from textbook prentice hall mathematics How Do I Solve this inequality and graph it?? 6x-13 < 6(x-2)1 solutions Answer 113186 by checkley77(12569)   on 2008-08-27 17:21:04 (Show Source): You can put this solution on YOUR website!6x-13<6(x-2) 6x-13<6x-12 6x-6x<-12+13 0<1 answer.
 absolute-value/153798: kelly telephoned brook about a homework problem. Kelly said Four plus three times two is 14,isnt it? brook replied, No its 10. did someone make a mistake?can you explain where these two answer came from?1 solutions Answer 113185 by checkley77(12569)   on 2008-08-27 17:18:50 (Show Source): You can put this solution on YOUR website!4+3*2=4+6=10 no parenthesis. (4+3)2=7*2=14 with parenthesis.
 Exponents/153796: evaluate each expression for tha given values of the variables 4t-3s^2+s^3 for t=-2 and s= -31 solutions Answer 113184 by checkley77(12569)   on 2008-08-27 17:14:44 (Show Source): You can put this solution on YOUR website!4t-3s^2+s^3 for t=-2 and s= -3 4*-2-3(-3)^2+(-3)^3 -8-3*9+(-27) -8-27-27=-62
 Equations/153791: What is the solution of x+2=2x-6? Please and thank you! =]1 solutions Answer 113183 by checkley77(12569)   on 2008-08-27 16:59:57 (Show Source): You can put this solution on YOUR website!x+2=2x-6 x-2x=-6-2 -x=-8 x=8 answer. proof: 8+2=2*8-6 10=16-6 10=10
 Probability-and-statistics/153721: How many ways can six different books be arranged on a shelf?1 solutions Answer 113182 by checkley77(12569)   on 2008-08-27 16:57:07 (Show Source): You can put this solution on YOUR website!6*5*4*3*2*1=720 different arrangements are possible.