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# Recent problems solved by 'checkley77'

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 Polynomials-and-rational-expressions/197995: please help me find the product of this equation: 1 solutions Answer 148478 by checkley77(12569)   on 2009-05-27 16:31:49 (Show Source): You can put this solution on YOUR website!(x+y)^4=(x+y)^2*(x+y)^2 (x+y)^2 x+y x+y Multiply. ------------------ x^2+2xy+y^2 x^2+2xy+y^2 Multiply --------------------- x^4+2x^3y+x^2y^2+2x^3y+4x^2y^2+2xy^3+x^2y^2+2xy^3+y^4 x^4+4x^3y+6x^2y^2+4xy^3+y^4 ans.
 Triangles/197934: There is a right triangle. The short leg is 7 and the long leg is 10. X is across from the right angle. How do I find X?1 solutions Answer 148423 by checkley77(12569)   on 2009-05-27 08:47:25 (Show Source): You can put this solution on YOUR website!The sides of a right triangle are defined by the following formula: a^2+b^2=C^2 where a & b are the 2 short legs & c is the hypotenuse ( the side opposite the right angle) 7^2+10^2=c^2 49=100=c^2 149=c^2 sqrt149=c 12.2=c ans. Proof: 49+100=12.2^2 149~149
 test/197721: determine the slope and y intercept of the equations y=3x-2 and y=-2x+1.Varify by graphing the equations.1 solutions Answer 148370 by checkley77(12569)   on 2009-05-26 18:18:39 (Show Source): You can put this solution on YOUR website!y=3x-2 (RED LINE) slope=3. y=-2x+1 (GREEN LINE) slope=-2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x -2 and -2x +1).
 Problems-with-consecutive-odd-even-integers/197732: the product of two consecutive integers is 8 less than 10 times the smaller of the two integers. Find the integers.1 solutions Answer 148368 by checkley77(12569)   on 2009-05-26 18:12:16 (Show Source): You can put this solution on YOUR website!X(X+1)=10X-8 X^2+X-10X+8=0 X^2-9X+8=0 (X-8)(X-1)=0 X-8=0 X=8 ANS. X-1=0 X=1 ANS.
 Rectangles/197750: 2. Find the length and width of a rectangular lot with a perimeter of 70 meters if the length is 5 meters more than the width.1 solutions Answer 148366 by checkley77(12569)   on 2009-05-26 18:06:20 (Show Source): You can put this solution on YOUR website!L=W+5 2L+2W=70 2(W+5)+2W=70 2W+10+2W=70 4W=70-10 4W=60 W=60/4 W=15 ANS. FOR THE WIDTH. L=15+5=20 ANS. FOR THE LENGTH. pROOF: 2*20+2*15=70 40+30=70 70=70
 Numbers_Word_Problems/197751: Find two consecutive even integers x and x+2 with a product of 801 solutions Answer 148363 by checkley77(12569)   on 2009-05-26 18:02:21 (Show Source): You can put this solution on YOUR website!x(x+2)=80 x^2+2x-80=0 (x+10)(x-8)=0 x+10=0 x=-10 ans. -10+2=-8 ans OR: x-8=0 x=8 ans. 8+2=10 ans.
 Quadratic_Equations/197853: What is the slope of the line with the equation 2x + 3y + 6 = 0 ?1 solutions Answer 148360 by checkley77(12569)   on 2009-05-26 17:55:15 (Show Source): You can put this solution on YOUR website!2x + 3y + 6 = 0 3y=-2x-6 y=-2x/3-6/3 y=-2x/3-2 thus the slope is -2/3.
 Mixture_Word_Problems/197840: A solution containing 28% acid is to be mixed with a solution containing 40% acid to make a 300 L solution which contains 36% acid. How of each solution should be used to make the desired mixture?1 solutions Answer 148357 by checkley77(12569)   on 2009-05-26 17:52:17 (Show Source): You can put this solution on YOUR website!.40x+.28(300-x)=.36*300 .40x+84-.28x=108 .12x=108-84 .12x=24 x=24/.12 x=200 L of 40% solution is used. 300-200=100 L of 28% solution is used. Proof: .40*200+.28*100=.36*300 80+28=108 108=108
 Quadratic_Equations/197851: Can you please help me to solve this equation (x+10)(2x-3)=54? I dont know how to solve it using quadratic equations. Thank you very much!!!1 solutions Answer 148353 by checkley77(12569)   on 2009-05-26 17:45:12 (Show Source): You can put this solution on YOUR website!(x+10)(2x-3)=54 2x^2+20x-3x-30=54 2x^2+17x-30-54=0 2x^2+17x-84=0 (2x-7)(x+12)=0 2x-7=0 2x=7 x=7/2 x=3.5 ans. x+12=0 x=-12 ans.
 Polynomials-and-rational-expressions/197564: Multiply and simplify (4x*6/11r*4 )(121r*7/16x)1 solutions Answer 148216 by checkley77(12569)   on 2009-05-25 16:57:04 (Show Source): You can put this solution on YOUR website!I'llassume the *6,*4,&*7 are power units. (4x*6/11r*4 )(121r*7/16x) 4x^6/16x=x^5/4 121r^7/11r^2=11r^5 11x^5r^5/4 ans.
 Distributive-associative-commutative-properties/197662: please multiply (5x-2)^2 thank you1 solutions Answer 148214 by checkley77(12569)   on 2009-05-25 16:52:31 (Show Source): You can put this solution on YOUR website!(5x-2)^2 5x-2 5x-2 --------------- 25x^2-10x-10x+4 25x^2-20x+4 ams.
 Expressions-with-variables/197661: I am homeschooled with the School of Tomorrow. I am currently doing Algebra 1, and am having a lot of touble with the section "Solving Simultaneous Equations Algebraically", lesson "Substitution Method." The equation I am trying to work out now is: 1 solutions Answer 148213 by checkley77(12569)   on 2009-05-25 16:50:04 (Show Source): You can put this solution on YOUR website!3x-4y=10 x=6y-1 now replace x in the first equation with(6y-1) & solve for y. 3(6y-1)-4y=10 18y-3-4y=10 14y=10+3 14y=13 y=13/14 ans. x=6*13/14-1 x=78/14-1 x=(78-1*14)/14 x=(78-14)/14 x=64/14 x=32/7 ans. Proof: 3*32/7-4*13/14=10 96/7-52/14=10 (96*2-52)/14=10 (192-52)/14=10 140/14=10 10=10
 Linear-equations/197507: Please help with this problem Write the equation for a line that is parallel to the line y=-3x/5+25 and goes thru the point [11,-3]1 solutions Answer 148112 by checkley77(12569)   on 2009-05-24 15:46:16 (Show Source): You can put this solution on YOUR website!y=-3x/5+25 (green line) thru [11,-3] with a slope(m)=-3 -3=-3*11/5+b -3=-33/5+b b=-3+33/5 b=(-3*5+33)/5 b=(-15+33)/5 b=18/5 b=18/5 ans. for the y intercept. y=-3x/5+18/5 (red line) (graph 300x200 pixels, x from -6 to 25, y from -10 to 25,of two functions -3x/5 +18/5 and -3x/5 +25).
 Equations/197508: check whether the given number is a solution of the equation 7-2x=15;-41 solutions Answer 148111 by checkley77(12569)   on 2009-05-24 15:32:25 (Show Source): You can put this solution on YOUR website!7-2x=15;-4 7-2*-4=15 7+8=15 15=15 YES: -4 is a solution.
 Rectangles/197517: This question is from textbook Geometry the easy way The perimeter of a square is 56 feet. The side length is 4x feet. What is the value of x? 1 solutions Answer 148110 by checkley77(12569)   on 2009-05-24 15:29:56 (Show Source): You can put this solution on YOUR website!4*4x=56 16x=56 x=56/16 x=3.5 4x=4*3.5=14 is the length of each side. Proof: 4*14-56 56=56
 Equations/197522: If x over a = r over s, solve for x in terms of a, r, and s.1 solutions Answer 148109 by checkley77(12569)   on 2009-05-24 15:25:53 (Show Source): You can put this solution on YOUR website!x/a=r/s xs=ar x=ar/s ans.
 Rational-functions/197473: simplify the square root of 512x^3y^51 solutions Answer 148102 by checkley77(12569)   on 2009-05-24 10:06:00 (Show Source): You can put this solution on YOUR website!square root of 512x^3y^5 16XY^2SQRT(2XY) ans.
 Surface-area/197396: a pyramid has a rectangular base and faces that are isosceles triangles. Find the total surface area to the nearest tenth. 1 solutions Answer 148054 by checkley77(12569)   on 2009-05-23 17:11:38 (Show Source): You can put this solution on YOUR website!To solve this problem we need some measurements. Provide these measurements & resubmit.
 Trigonometry-basics/197398: 8,-12 slope=-2/31 solutions Answer 148053 by checkley77(12569)   on 2009-05-23 17:08:28 (Show Source): You can put this solution on YOUR website!x=8,y=-12 slope(m)=-2/3 Y=mX+b -12=-2/3*8+b -12=-16/3+b b=-12+16/3 b=(3*-12+16)/3 b=(-36+16)/3 b=-20/3 the y intercept. This line equation is: y=-2x/3-20/3 (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, -2x/3 -20/3).
 Polynomials-and-rational-expressions/197405: Multiply. 1 solutions Answer 148052 by checkley77(12569)   on 2009-05-23 17:01:51 (Show Source): You can put this solution on YOUR website!4x^2+3x+3 7x+7 -------------------- 28x^3+21x^2+21x+28x^2+21x+21 28x^3+49x^2+42x+21 7(4x^3+7x^2+6x+3) ans.
 Proportions/197425: solve the proportion 5/ x-1= 7/x1 solutions Answer 148048 by checkley77(12569)   on 2009-05-23 16:55:24 (Show Source): You can put this solution on YOUR website!5/ x-1= 7/x cross multiply 7(x-1)=5x 7x-7=5x 7x-5x=7 2x=7 x=7/2 x=3.5 ans. Proof: 5/(3.5-1)=7/3.5 5/2.5=2 2=2
 Numbers_Word_Problems/197427: There are 7 girls in a bus. Each girl has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. The bus driver is not in the bus at this time. Question: How many legs are there in the bus? 1 solutions Answer 148047 by checkley77(12569)   on 2009-05-23 16:52:28 (Show Source): You can put this solution on YOUR website!7 girls=14 legs 7girls*7backpacks*7big cats=7*7*7*4=343*4=1,372 big cat legs. 343*7*4=9,604 little cat legs 14+1,372+9,604=10.990 total number of legs.
 Linear_Equations_And_Systems_Word_Problems/197383: A special tea blend is made from two varieties of herbal tea, one that costs \$4.00/kg and another that costs \$2.00/kg. How many kilograms of each type are needed to make 20 kg of a blend worth \$2.50/kg?1 solutions Answer 148023 by checkley77(12569)   on 2009-05-22 21:12:51 (Show Source): You can put this solution on YOUR website!4x+2(20-x)=20*2.50 4x+40-2x=50 2x=50-40 2x=10 x=10/2 x=5 kg of the \$4 tea is used. 20-5=15 kg of the \$2 tea is used. Proof: 4*5+2*15=50 20+30=50 50=50
 Surface-area/197382: find the surface area of a cylinder with height 3m and radius 8.4m pi = 3.141 solutions Answer 148022 by checkley77(12569)   on 2009-05-22 21:06:40 (Show Source): You can put this solution on YOUR website!area=2*base+(circumferance*height) area=2*pi*r^2+(2pi*r*3) area=2*3.14*8.4^2+(2*3.14*8.4*3) area=6.28*70.56+158.256 area=443.1168+158.256 area=601.37 m^2 ans.
 Expressions-with-variables/197240: 3r-7s=-28 7r+3s=701 solutions Answer 147877 by checkley77(12569)   on 2009-05-21 17:17:38 (Show Source): You can put this solution on YOUR website!3r-7s=-28 MULTIPLY BY 3 7r+3s=70 MULTIPLY BY 7 & ADD 9r-21s=-84 49r+21s=490 ------------------ 58r=406 r=406/58 r=7 ans. 3*7-7s=-28 21-7s=-28 -7s=-28-21 -7s=-49 s=-49/-7 s=7 ans. Proof: 7*7+3*7=70 49+21=70 70=70
 test/197243: The top of a 15 foot ladder is 3 feet farther up a wall than the foot ladder id from the bottom of the wall. How far is the foot ladder from the bottom wall? PLEASE HELP I DONT UNDERSTAND THIS AT ALL!!!!1 solutions Answer 147876 by checkley77(12569)   on 2009-05-21 17:11:29 (Show Source): You can put this solution on YOUR website!This is a right triangle with a hypotenuse=15, the base=x & the other side=x+3. x^2+(x+3)^2=15^2 x^2+x^2+6x+9=225 2x^2+6x+9-225=0 2x^2+6x-216=0 2(X^2+3X-108)=0 2(X-9)(X+12)=0 X-9=0 X=9 FT. DISTANCE FROM THE WALL AND THE BASE OF THE LADDER. 9+3=12 FT. DISTANCE OF THE LADDER UP THE WALL.
 Polynomials-and-rational-expressions/197250: How would you solve 6x^2=49?1 solutions Answer 147874 by checkley77(12569)   on 2009-05-21 17:01:45 (Show Source): You can put this solution on YOUR website!6x^2=49 x^2=49/6 x=sqrt(49/6) x=7sqrt1/6 x=7*.408 x=2.858 ans.
 Equations/197102: Please help me solve this problem. The directions are as follows: Solve the equation by using thew Quadratic Formula. Round to the nearest tenth if necessary. 1 solutions Answer 147873 by checkley77(12569)   on 2009-05-21 16:57:09 (Show Source): You can put this solution on YOUR website!h^2+29h-26=0 h=(-29+-sqrt[29^2-4*1*-26])/2*1 h=(-29+-sqrt[841+104])/2 h=(-29+-sqrt945)/2 h=(-29+-30.74)/2 h=(-29+30.74)/2 h=1.74/2 h=.87 or .9 when rounded to the nearest tenth. h=(-29-30.74)/2 h=-50.74/2 h=-25.37 or -25.4 when rounded.
 Linear-equations/197257: what is the x and y intercept for x-2y=6?1 solutions Answer 147871 by checkley77(12569)   on 2009-05-21 16:47:56 (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 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, x/2 -3). Intercepts(6,-3)
 Equations/197113: The length of a rectangle is four times its width. Its perimeter is 90m. Find its dimensions. Use P= 2l +2w1 solutions Answer 147867 by checkley77(12569)   on 2009-05-21 16:24:15 (Show Source): You can put this solution on YOUR website!L=4W 2L+2W=90 2*4W+2W=90 8W+2W=90 10W=90 W=90/10 W=9 ANS. FOR THE WIDTH. L=4*9 L=36 PROOF: 2*36+2*9=90 72+18=90 90=90
 Inequalities/197230: This question is from textbook INtergrated Arthimetic and Basic algebra 8m/5=-1201 solutions Answer 147866 by checkley77(12569)   on 2009-05-21 16:17:46 (Show Source): You can put this solution on YOUR website!8m/5=-120 8m=5*-120 8m=-600 m=-600/8 m=-75 ans. Proof: 8*-75/8=-120 -600/5=-120 -120=-120