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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Polynomials-and-rational-expressions/205556: Thank you.... Factor completely and match your result to the correct answer below. 12y2 + 2y – 2 A) (3y – 2)(4y + 1) B) (12y – 1)(y + 2) C) (3y + 2)(4y – 1) D) 2(3y – 1)(2y + 1)1 solutions Answer 155198 by checkley77(12569)   on 2009-08-05 19:17:04 (Show Source): You can put this solution on YOUR website!12y2 + 2y – 2 2(6y^2+y-1) 2(3y-1)(2y+1) ans. D).
 Graphs/205567: How do you solve -7x>1/151 solutions Answer 155197 by checkley77(12569)   on 2009-08-05 19:12:23 (Show Source): You can put this solution on YOUR website!-7x>1/15 x<1/15/(-7) when dividing by a negative value the > changes to a <. x<1/15*1/-7 x<1/15*-7 x<1/-105 x<-1/105 ans. Proof: Let x=-1/104 -7*-1/104>1/15 7/104>1/15 .0673>.0666
 Graphs/205568: How do you graph (-2,5), (3,-1)1 solutions Answer 155196 by checkley77(12569)   on 2009-08-05 19:02:16 (Show Source): You can put this solution on YOUR website!Y=mX+b m=slope=(y2-y1)/(x2-x1)=(-1-5)/(3+2)=-6/5 (-2,5), (3,-1) 5=-2*-6/5+b 5=12/5+b b=5-12/5 b=(5*5-12)/5 b=(25-12)/5 b=13/5=2.6 is the y intercept. y=-6x/5+2.6 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, -6x/5 +2.6).
 Graphs/205569: How do you find the y-intercept of the equation -5x + y =31 solutions Answer 155194 by checkley77(12569)   on 2009-08-05 18:52:35 (Show Source): You can put this solution on YOUR website!Y=mX+b where b=the y intercept. -5x + y =3 y=5x+3 The y intercept=3. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x +3).
 Graphs/205571: How do you sovle 5(3+4x)-5≥ 1901 solutions Answer 155193 by checkley77(12569)   on 2009-08-05 18:48:01 (Show Source): You can put this solution on YOUR website!5(3+4x)-5≥190 15+20x-5>=190 20x+10>=190 20x>=190-10 20x>=180 x>=180/20 x>=9 ans. Proof: Let x=9.1 5(3+4*9.1)-5>=190 5(3+36.4)-5>=190 5*39.4-5>=190 197-5>=190 192>=190
 Numeric_Fractions/205573: solve: (6/7) / (2/9)=1 solutions Answer 155192 by checkley77(12569)   on 2009-08-05 18:43:29 (Show Source): You can put this solution on YOUR website!(6/7) / (2/9) 5/7*9/2=45/14 ans.
 Graphs/205574: How do you solve 9x-14<-41 using addition and multiplication priciples?1 solutions Answer 155191 by checkley77(12569)   on 2009-08-05 18:41:16 (Show Source): You can put this solution on YOUR website!9x-14<-41 9x<-41+14 9x<-27 x<-27/9 x<-3 ans. Proof: Let x=-3.1 9*3.1-14<-41 -27.9-14<-41 -41.9<-41
 decimal-numbers/205534: How do you round 5/16 to the nearest 1/8?1 solutions Answer 155157 by checkley77(12569)   on 2009-08-05 15:33:14 (Show Source): You can put this solution on YOUR website!5/16=x/8 16x=8*5 x=40/16 x=2.5 2.5/8 or 3/8 ans.
 Linear-equations/205440: Please show me how to solve 6 = 5(1/4)+c..Thanks1 solutions Answer 155115 by checkley77(12569)   on 2009-08-05 10:28:50 (Show Source): You can put this solution on YOUR website!6 = 5(1/4)+c 6=5/4+c c=6-5/4 c=(6*4-5)/4 c=(24-5)/4 c=19/4 ans. Proof: 6=5/4+19/4 6=24/4 6=6
 Coordinate-system/205452: how to graph: y=3x-11 solutions Answer 155113 by checkley77(12569)   on 2009-08-05 10:18:04 (Show Source): You can put this solution on YOUR website!y=3x-1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -1).
 Travel_Word_Problems/205456: Two cars, A and B, having average speeds of 30 and 40 mph, respectively are 280 miles apart they start moving towards each other at 3pm, At what time will they meet?1 solutions Answer 155112 by checkley77(12569)   on 2009-08-05 10:15:44 (Show Source): You can put this solution on YOUR website!30x+40x=280 70x=280 x=280/70 x=4 hours. 3+4=7 pm. they will meet.
 Pythagorean-theorem/205474: Suppose you need to construct a right triangle in which the shorter side is eight feet less than the longest side and the third side is seven feet more than the shortest side.1 solutions Answer 155111 by checkley77(12569)   on 2009-08-05 10:12:40 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 a=c-8 b=a+7 or b=(c-8)+7 or b=c-1 (c-8)^2+(c-1)^2=c^2 c^2-16c+64+c^2-2c+1=c^2 2c^2-c^2-18c+65=0 c^2-18c+65=0 (c-13)(c-5)=0 c-13=0 c=13 ans. a=13-8 a=5 ans. b=5+7 b=12 ans. Proof: 5^2+12*2=13^2 25+141=169 169=169
 Numbers_Word_Problems/205461: "if the larger of two numbers is subtracted from 6 times the smaller,the result is 20.if twice the larger number is added to 4 times the smaller,he resul is 56.find the numbers"1 solutions Answer 155104 by checkley77(12569)   on 2009-08-05 09:54:34 (Show Source): You can put this solution on YOUR website!Let x be the smaller number & y be the larger number. 6x-y=20 or y=6x-20 4x+2y=56 4x+2(6x-20)=56 4x+12x-40=56 16x=56+40 16x=96 x=96/16 x=6 ans. y=6*6-20 y=36-20 y=16 ans. Proof: 4*6+2*16=56 24+32=56 56=56
 Exponents-negative-and-fractional/205465: 2/3p = 8/91 solutions Answer 155102 by checkley77(12569)   on 2009-08-05 09:42:56 (Show Source): You can put this solution on YOUR website!2/3p=8/9 2P/3=8/9 2P*9=8*3 18P=24 P=24/18 P=4/3 ANS. 2/3*4/3=8/9 8/9=8/9
 Miscellaneous_Word_Problems/205468: solve the equation by eliminating fractions A) x/2+x/3=20 b) 3m/4+m/2= -51 solutions Answer 155101 by checkley77(12569)   on 2009-08-05 09:38:20 (Show Source): You can put this solution on YOUR website!A) x/2+x/3=20 (3x+2x)/(2*3)=20 5x/6=20 5x=20*6 5x-120 x=120/5 x=24 ans. Proof: 24/2+24/3=20 12+8=20 20=20 b) 3m/4+m/2=-5 (2*3m+4*m)/(4*2)=-5 (6m+4M)/8=-5 10M/8=-5 10M=-5*8 10M=-40 M=-40/10 M=-4 ANS. PROOF: 3*-4/4+(-4/2)=-5 -12/4-2=-5 -3-2=-5 -5=-5
 Quadratic_Equations/205469: what are the possible values of x in x squared=225 using the method called extracting square roots? 1 solutions Answer 155100 by checkley77(12569)   on 2009-08-05 09:31:51 (Show Source): You can put this solution on YOUR website!x^2=225 x=+/-15 ans.
 Angles/205473: If the measure of an angle is 30 less than twice the measure of its supplement, what is the measure of each angle?1 solutions Answer 155099 by checkley77(12569)   on 2009-08-05 09:29:09 (Show Source): You can put this solution on YOUR website!x+3x-30=180 4x=180+30 4x=210 x=210/4 x=52.5 ans. for the smaller angle. 3*52.5-30=157.50-30=127.7 ans for the larger angle. Proof: 52.5+127.5=180 180=180
 Miscellaneous_Word_Problems/205483: the equation of a straight line is 3x+ 2y =5. Given that the point (k,4) lies on the line, find the value of k.1 solutions Answer 155098 by checkley77(12569)   on 2009-08-05 09:23:38 (Show Source): You can put this solution on YOUR website!3x+ 2y =5 2y=-3x+5 y=-3x/2+5/2 y=-3x/2+2.5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 +2.5). (k,4) 3k+2*4=5 3k+8=5 3k=5-8 3k=-3 k=-3/3 k=-1 ans. (-1,4) Proof: 3*-1+2*4=5 -3+8=5 5=5
 Miscellaneous_Word_Problems/205487: Find three consecutive odd numbers such that 1/7 of the first plus 1/3 of the second plus 1/5 of the third is 63.1 solutions Answer 155096 by checkley77(12569)   on 2009-08-05 09:17:40 (Show Source): You can put this solution on YOUR website!Let x, x+2, x+4 be the 3 odd numbers. x/7+(x+2)/3+(x+4)/5=63 [(15x+35(x+2)+21(x+4)]/105=63 [15x+35x+70+21x+84]/105=63 [71x+154)/105=63 71x+154=63*105 71x+154=6,615 71x=6,615-154 71x=6,461 x=6,461/71 x=91 the first number 91+2=93 the second number 91+4=95 the third number Proof: 91/7+93/3+95/5=63 13+31+19=63 63=63
 Miscellaneous_Word_Problems/205486: Find three consecutive odd numbers such that 1/7 of the first plus 1/3 of the second plus 1/5 of the third is 63.1 solutions Answer 155095 by checkley77(12569)   on 2009-08-05 09:16:23 (Show Source): You can put this solution on YOUR website!Let x, x+2, x+4 be the 3 odd numbers. x/7+(x+2)/3+(x+4)/5=63 [(15x+35(x+2)+21(x+4)]/105=63 [15x+35x+70+21x+84]/105=63 [71x+154)/105=63 71x+154=63*105 71x+154=6,615 71x=6,615-154 71x=6,461 x=6,461/71 x=91 the first number 91+2=93 the second number 91+4=95 the third number Proof: 91/7+93/3+95/5=63 13+31+19=63 63=63
 Linear-equations/205337: 3(y+8)-12y = 01 solutions Answer 155033 by checkley77(12569)   on 2009-08-04 16:07:46 (Show Source): You can put this solution on YOUR website!3(y+8)-12y = 0 3Y+24-12Y=0 -9Y+24=0 -9Y=-24 Y=-24/-9 Y=8/3 ANS.
 Travel_Word_Problems/205369: A plane flies x mph. How far can it fo in y hours?1 solutions Answer 155032 by checkley77(12569)   on 2009-08-04 15:56:27 (Show Source): You can put this solution on YOUR website!X*Y ANS.
 Problems-with-consecutive-odd-even-integers/205398: This question is from textbook algebra 1 an integrated approach sara has \$1.45 in nickles and dimes. There are 18 in all. how many of many of each are there? Use the 5-step method and a table in solving this problem. (hint this problem is very similar to the try it exercise on page 205. use the answer to that question to help you determine the variables and organize your table.) i really hope u guys can help me i got the table all set up and the first part of this problem figured out i just didnt know how to solve it! thank you for your time !!!!!!!!!!!!!!!!!!!1 solutions Answer 155030 by checkley77(12569)   on 2009-08-04 15:54:02 (Show Source): You can put this solution on YOUR website!N+D=18 N=18-D .05N+.10D=1.45 .05(18-D)+.10D=1.45 .90-.05D+.10D=1.45 .05D=1.45-.90 .05D=.55 D=.55/.05 D=11 DIMES. N+11=18 N=18-11 N=7 NICKLES. PROOF: .05*7+.10*11=1.45 .35+110=1.45 1.45=1.45
 Linear-equations/205376: solve by Elimination Using Addition and Subtraction method 2x + 4y = 8 y - 3 = x 1 solutions Answer 155029 by checkley77(12569)   on 2009-08-04 15:47:54 (Show Source): You can put this solution on YOUR website!2x + 4y = 8 y - 3 = x multiply by 2 & add. 2y-6=2x -2x+2y=6 2x+4y=8 --------- 6y=14 y=14/6 y=7/3 ans. 7/3-3=x (7-3*3)/3=x (7-9)/3=x -2/3=x ans. Proof: 2*-2/3+4*7/3=8 -4/3+28/3=8 24/3=8 8=8
 Travel_Word_Problems/205399: how long will it take to drive 325 miles at 55 miles per hour? 1 solutions Answer 155028 by checkley77(12569)   on 2009-08-04 15:37:52 (Show Source): You can put this solution on YOUR website!325/55=5.9 hours ans.
 Rectangles/205186: The area of a rectangular piece of cardboard shown is 735 square inches. The cardboard is used to make an open box by cutting a 3-inch square from each corner and turning up the sides. If the box is to have a volume of 1305 cubic inches, find the dimensions of the cardboard that must be used. Any help you can give would be greatly appreciated, thanks!!1 solutions Answer 154939 by checkley77(12569)   on 2009-08-03 15:35:01 (Show Source): You can put this solution on YOUR website!xy=735 x=735/y (x-2*3)(y-2*3)*3=1305 (735/y-6)(y-6)*3=1305 (735-6y-6*735/y+36)*3=1305 (735-6y-4410/y+36)*3=1305 2205-18y-13230/y+108=1305 -18y-13230/y=1305-2205-108 -18y-13230/y=-1008 (-18y*y-13230)/y=-1008 -18y^2-13230=-1008y 18y^2-1008y+13230=0 18(y^2-56y+735)=0 18(y-21)(y-35)=0 y-21=0 y=21 then x=35 y-35=0 y=35 then x=21 Proof: 21*35=735 735=735 (21-2*3)(35-2*3)*3=1305 (21-6)(35-6)*3=1305 15*29*3=1305 1305=1305
 Inverses/205223: 2x2+9x-51 solutions Answer 154938 by checkley77(12569)   on 2009-08-03 15:15:35 (Show Source): You can put this solution on YOUR website!2x^2+9x-5=0 (2x-1)(x+5)=0 2x-1=0 2x=1 x=1/2 ans. x+5=0 x=-5 ans.
 Linear_Equations_And_Systems_Word_Problems/205250: TJ plans to erect 132 feet of fencing around his rectangular garden, using his house as one side of the garden. Each width (x) is 3 feet longer than twice the length (y). Find the dimensions of the garden.1 solutions Answer 154937 by checkley77(12569)   on 2009-08-03 15:09:21 (Show Source): You can put this solution on YOUR website!x=2y+3 2x+(2y+3)=132 2(2y+3)+2y+3=132 4y+6+2y+3=132 6y+9=132 6y=132-9 6y=123 y=123/6 y=20.5 ans. for the length. x=2*20.5+3 x=41+3 x=44 ans for the width. Proof: 2*44+(2*20.5+3)=132 88+41+3=132 132=132
 Equations/205259: solve for x: 4 = x/5,000,0001 solutions Answer 154936 by checkley77(12569)   on 2009-08-03 14:58:04 (Show Source): You can put this solution on YOUR website!4 = x/5,000,000 x=4*5,000,000 x=20,000,000 ans.
 Money_Word_Problems/205191: find the present value of \$3000 comp monthly for 6% for 7 years. I answered 3000/(1=.06/12)^84= 1973.20 or 2532.60. 1 solutions Answer 154921 by checkley77(12569)   on 2009-08-03 11:00:11 (Show Source): You can put this solution on YOUR website!3000{/}(1{=}.06/12)^84= 1973.20 or 2532.60. ( ) incorrect modifiers. 3000(1+.06/12)^[7*12]=3000(1+.005)^84=3000(1.005)^84=3000*1.520=\$4,561.11 ans.
 Geometry_Word_Problems/205194: Please help with me find an equation of line l and solve for y when Line l goes through (0,0) and is perpendicular to the line through (0,6) and (-5,0). I am stumped because I don't think there is a slope for the first line. Any help is greatly appreciated.1 solutions Answer 154918 by checkley77(12569)   on 2009-08-03 10:51:52 (Show Source): You can put this solution on YOUR website!(0,6)(-5,0) The equation for this line is: Y=mX+b m=slope=(y2-y1)/(x2-x1)=(0-6)/(-5-0)=-6/-5=6/5 ans. 6=6/5*0+b 6=b ans. for the y intercept. y=6x/5+6 is the equation for this line. (red line) A perpendicular line will have a slope=-5/6 passing through (0,0). 0=-5/6*0+b 0=b ans. for the y intercept for this line. y=-5x/6+0s the equation for thjis line. (green line) (graph 300x300 pixels, x from -6 to 6, y from -6 to 6, of TWO functions 6x/5 +6 and y = -5x/6).