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# Recent problems solved by 'checkley77'

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 Angles/158466: This question is from textbook Geometry for enjoyment and challenge Find the measure of an angle that is twice as large as its supplement.1 solutions Answer 116771 by checkley77(12569)   on 2008-09-22 22:37:50 (Show Source): You can put this solution on YOUR website!2X+X=180 3X=180 X=180/3 X=60 DEGREES. 2*60=120 IS THE LARGER ANGLE. 60+120=180
 Numbers_Word_Problems/158470: Find four consecutive even integers such that the sum of twice the fourth integer and half the second integer is 68.1 solutions Answer 116770 by checkley77(12569)   on 2008-09-22 22:35:23 (Show Source): You can put this solution on YOUR website!X, X+2, X+4, X+6 ARE THE 4 EVEN INTEGERS. 2(X+6)+(X+2)/2=68 2X+12+(X+2)/2=68 2X+(X+2)/2=68-12 (2*2X+X+2)/2=56 (4X+X+2)/2=56 5X+2=2*56 5X=112-2 5X=110 X=110/5 X=22 THE FIRST INTEGER. PROOF: 2(22+6)+(22+2)/2=68 2*28+24/2=68 56+12=68 68=68
 Expressions-with-variables/158475: ac=bc+d, for c1 solutions Answer 116768 by checkley77(12569)   on 2008-09-22 22:26:50 (Show Source): You can put this solution on YOUR website!ac=bc+d AC-BC=D C(A-B)=D C=D/(A-B)
 Equations/158480: This question is from textbook 9(4+d)1 solutions Answer 116767 by checkley77(12569)   on 2008-09-22 22:24:34 (Show Source): You can put this solution on YOUR website!9(4+D) 36+9D
 Money_Word_Problems/158489: \$165000 in tickets were sold, 8000 tickets were sold. How many for \$15 and how many for \$25 were sold?1 solutions Answer 116765 by checkley77(12569)   on 2008-09-22 22:20:27 (Show Source): You can put this solution on YOUR website!25X+15(8,000-X)=165,000 25X+120,000-15X=165,000 10X=165,000-120,000 10X=45,000 X=45,000/10 X=4,500 \$25 TICKETS WERE SOLD. 8,000-4,500=3,500 \$15 TICKETS SOLD. PROOF: 25*4,500+15*3,500=165,000 112,500+52,500=165,000 165,000=165,000
 Numbers_Word_Problems/158492: This question is from textbook Algebra 1 The width of rectangle is 1/2 its length. The perimeter of the rectangle is 24 inches. What are the width and length of the rectangle?1 solutions Answer 116764 by checkley77(12569)   on 2008-09-22 22:15:09 (Show Source): You can put this solution on YOUR website!W=L/2 2L+2(L/2)=24 2L+L=24 3L=2 L=24/3 L=8 THE LENGTH. W=8/2 W=4 THE WIDTH. 2*4+2*8=24 8+16=24 24=24
 Inequalities/158510: A-5>121 solutions Answer 116763 by checkley77(12569)   on 2008-09-22 22:12:48 (Show Source): You can put this solution on YOUR website!A-5>12 A>12+5 A>17 PROOF: LET A=18 18-5>12 13>12
 Numbers_Word_Problems/158512: There are three consecutive even intergers. If twice the first integer added to the second is 268,262,find al three integers.1 solutions Answer 116762 by checkley77(12569)   on 2008-09-22 22:10:02 (Show Source): You can put this solution on YOUR website!2X+X+2=268,262 3X=268,262-2 3X=268,260 X=268,260/3 X=89,420 FOR THE SMALLEST INTEGER. 89,420+2=89,422 FOR THE SECOND INTEGER. 89,420=4=89,424 FOR THE THIRD INTEGER. 2*89,420+89,422=268,262 178,840+89,422=268,262 268,262=268,262
 Polynomials-and-rational-expressions/158491: This question is from textbook (11x+3y)(x+4y)1 solutions Answer 116760 by checkley77(12569)   on 2008-09-22 22:05:09 (Show Source): You can put this solution on YOUR website!(11x+3y)(x+4y) 11X^2+3XY+44XY+12Y^2 11X^2+47XY+12Y^2 ANSWER.
 Numbers_Word_Problems/158493: This question is from textbook Algebra 1 The length of a rectangular garden is 3 yards more than twice its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?1 solutions Answer 116757 by checkley77(12569)   on 2008-09-22 22:02:16 (Show Source): You can put this solution on YOUR website!L=2W+3 2W+2(2W+3)=36 2W+4W+6=36 6W=36-6 6W=30 W=30/6 W=5 IS THE WIDTH. L=2*5+3 L=10+3 L=13 IS THE LENGTH. PROOF: 2*5+2*13=36 10+26=36 36=36
 Polynomials-and-rational-expressions/158506: This question is from textbook (2/3y-1/2)^2 1 solutions Answer 116756 by checkley77(12569)   on 2008-09-22 21:58:23 (Show Source): You can put this solution on YOUR website!(2/3y-1/2)^2 4/9y^2-4y/6+1/4 4y^2/9-2y/3+1/4
 Linear-equations/158346: Solve each system of equations using any method. 5x - 12y = 207 5x - 11y = 206 I'm not sure how to solve this. I have been trying to use the substiution method, and I just cant seem to get it right. Id love to see the correct steps, and the correct answer. Thank you!1 solutions Answer 116730 by checkley77(12569)   on 2008-09-22 16:03:53 (Show Source): You can put this solution on YOUR website!5x - 12y = 207 5x - 11y = 206 subtract this equation ----------------------- -y=1 answer 5x-12*-1=207 5x+12=207 5x=207-12 5x=195 x=195/5 x=39 answer. proof: 5*39-11*-1=206 195+11=206 206=206
 Linear-equations/158352: 9x - 16y = 713 19x - 10y = 887 I need to solve this using any method, but i cant figure out which one would be the easiest. I would love to see the steps and correct answer. Thank you for your help!1 solutions Answer 116729 by checkley77(12569)   on 2008-09-22 15:58:31 (Show Source): You can put this solution on YOUR website!9x - 16y = 713 multiply by 5 19x - 10y = 887 multiply by -8 & add. 45x-80y=3565 -152x+80y=-7096 ----------------------- -107x=-3531 x=-3531/-107 x=33 answer. 9*33-16y=713 297-16y=713 -16y=713-297 -16y=416 y=416/-16 y=26 answer. PROPOF: 19*33-10*26=887 627+260=887 887=887
 Exponential-and-logarithmic-functions/158365: (3y^8)^4 / (2zy^2) I started out with (3y^32) / (2zy^2) not sure where to go from here1 solutions Answer 116727 by checkley77(12569)   on 2008-09-22 15:46:42 (Show Source): You can put this solution on YOUR website!(3y^8)^4/(2zy^2) (3y^32)/(2zy^2) cancel out the y^2 terms. 3y^30/2z
 test/158373: Write the equation of a line in point-slop form: Has a slope of 2/3 and passes through the point (1,-5)1 solutions Answer 116726 by checkley77(12569)   on 2008-09-22 15:43:34 (Show Source): You can put this solution on YOUR website!-5=2*1/3+b -5=2/3+b b=-5-2/3 b=-(5*3-2)/3 b=-(15-2)/3 b=-13/3 Y=2X/3-13/3 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, 2x/3 -13/3).
 test/158376: Solve the following linear system using elimination: 3x+3y=15 5x-5y=151 solutions Answer 116725 by checkley77(12569)   on 2008-09-22 15:39:11 (Show Source): You can put this solution on YOUR website!3x+3y=15 MULTIPLY BY 5 5x-5y=15 MULTIPLY BY 3 & ADD 15X+15Y=75 15X-15Y=45 ------------------ 30X=120 X=120/30 X=4 ANSWER. 3*4+3Y=15 12+3Y=15 3Y=15-12 3Y=3 Y=3/3 Y=1 ANSWER. PROOF: 5*4-5*1=15 20-5=15 15=15
 Miscellaneous_Word_Problems/158377: A sightseeing boat charges \$5 for children and \$8 for adults. On it's first trip of the day it collected \$439 for 71 paying passengers. How many children and how many adults were there?1 solutions Answer 116724 by checkley77(12569)   on 2008-09-22 15:35:01 (Show Source): You can put this solution on YOUR website!8A+5C=439 A+C=71 OR A=71-C 8(71-C)+5C=439 568-8C+5C=439 -3C=439-568 -3C=-129 C=-129/-3 C=43 CHILDREN TICKETS SOLD. A+43=71 A=71-43 A=28 ADULT TICKETS SOLD. PROOF: 8*28+5*43=439 224+215=439 439=439
 Miscellaneous_Word_Problems/158384: This question is from textbook Intermediate Algebra A company orders 225 million pounds of sand in 2007. It is a 650% increase over the previous year. How many pounds were ordered in the previous year?1 solutions Answer 116723 by checkley77(12569)   on 2008-09-22 15:29:05 (Show Source): You can put this solution on YOUR website!225/6.5=34.615 m. pounds were ordered the previous year.
 Systems-of-equations/158380: Solve using the quadratic formula: x2 – 2x = 5x – 2 1 solutions Answer 116722 by checkley77(12569)   on 2008-09-22 15:26:50 (Show Source): You can put this solution on YOUR website!x2 – 2x = 5x – 2 x^2-2x-5x+2=0 x^2-7x+2=0 Using the quadratic equation: we get: x=(7+-sqrt[-7^2-4*1*2])/2*1 x=(7+-sqrt[49-8])/2 x=(7+-sqrt41)/2 x=(7+-6.4)/2 x=(7+6.4)/2 x=13.4/2 x=6.7 answer. x=(7-6.4)/2 x=.6/2 x=.3 answer.
 Equations/158382: 2.1x-6+1.6x=12.5 please help me i am totally lost with this problem!!!!!!1 solutions Answer 116721 by checkley77(12569)   on 2008-09-22 15:19:28 (Show Source): You can put this solution on YOUR website!2.1x-6+1.6x=12.5 3.7x=12.5+6 3.7x=18.5 x=18.5/3.7 x=5 answer. Proof: 2.1*5-6+1.6*5=12.5 10.5-6+8=12.5 12.5=12.5
 Equations/158381: can you help me answer 12p+p=5-2p1 solutions Answer 116720 by checkley77(12569)   on 2008-09-22 15:15:54 (Show Source): You can put this solution on YOUR website!12p+p=5-2p 12p+p+2p=5 15p=5 p=5/15 p=1/3 answer.
 Graphs/158276: From a base elevation of 6400 ft. a mountain peak in Colorado rises to a summit elevation of 14725 ft over a horizontal distance of 15841. Find the grade of the peak. The grade of the peak is 52.55 %1 solutions Answer 116708 by checkley77(12569)   on 2008-09-22 09:31:23 (Show Source): You can put this solution on YOUR website!(0,14.725-6,400) & (15,841,0) (0,8,325) & (15,841,0) slope=(y2-y1)/(x2-x1) slope=(0-8,325)/(15,841-0) slope=-8,325/15,841 slope=-.5255 is the grade.
 Percentage-and-ratio-word-problems/158314: how many php 80000be invested part at 7% and the rest 6% so that both investments produce equal income?1 solutions Answer 116707 by checkley77(12569)   on 2008-09-22 09:18:00 (Show Source): You can put this solution on YOUR website!.07x=.06(8000-x) .07x=480-.06x .07x+.06x=480 .13x=480 x=480/.13 x=\$3,692.31 invested @ 7% 8,000-3,692.31=\$4,307.69 invested @ 6% PROOF: .07*3,692.31=.06*4,307.69 258.46=258.46
 Coordinate-system/158315: In each case find the equation of the straight line through the given points (4;7), (-2;2)1 solutions Answer 116705 by checkley77(12569)   on 2008-09-22 09:13:07 (Show Source): You can put this solution on YOUR website!4,7), (-2,2) Y+mX+b m=(2-7)/(-2-4) m=-5/-6 m=5/6 slope. 7=5/6*4+b 7=20/6+b b=7-20/6 b=(42-20)/6 b=22/6=11/3 y intercept. Y=5X/6+11/3 (graph 300x200 pixels, x from -6 to 15, y from -10 to 12, 5x/6 +11/3).
 Linear-equations/158336: 0.3x + 0.5y = 175}}1 solutions Answer 116704 by checkley77(12569)   on 2008-09-22 09:09:59 (Show Source): You can put this solution on YOUR website!x+y=500 MULTIPLY BY -.5 & ADD. 0.3x+0.5y=175 -.5X-.5Y=-250 ------------------------- -.2X=-75 X=-75/-.2 X=375 ANSWER. 375+Y=500 Y=500-375 Y=125 ANSWER. PROOF; .3*375+.5*125=175 112.5+62.5=175 175=175
 Linear-equations/158334: Applications : solve1 solutions Answer 116702 by checkley77(12569)   on 2008-09-22 09:01:16 (Show Source): You can put this solution on YOUR website!G+P=1500 multiply by -5 & add. 8G+5P=10,500 -5G-5P=-7,500 ------------------- 3G=3,000 G=3,000/3 G=1,000 ANSWER. 1,000+P=1,500 P=1,500-1,000 P=500 ANWER. PROOF: 8*1,000+5*500=10,500 8,000+2,500=10,500 10,500=10,500
 Coordinate-system/158316: In each case find the equation of the straight line through the given points (4;7), (-2;2)1 solutions Answer 116701 by checkley77(12569)   on 2008-09-22 08:55:32 (Show Source): You can put this solution on YOUR website!(4,7), (-2,2) Y+mX+b m=(2-7)/(-2-4) m=-5/-6 m=5/6 slope. 7=5/6*4+b 7=20/6+b b=7-20/6 b=(42-20)/6 b=22/6=11/3 y intercept. Y=5X/6+11/3 (graph 300x200 pixels, x from -6 to 15, y from -10 to 12, 5x/6 +11/3).
 Polynomials-and-rational-expressions/158327: 2,3 Express this following rational expressions in lowest terms, please: x^2 + 2x + 1 OVER x + 1 thank you.1 solutions Answer 116700 by checkley77(12569)   on 2008-09-22 08:46:02 (Show Source): You can put this solution on YOUR website!x^2 + 2x + 1 OVER x + 1 (x+1)(x+1)/(x+1)=(x+1) answer.
 Equations/158333: Combine like terms: x + 6x2 – 4 – x2 – 3 + 9x + 8 1 solutions Answer 116699 by checkley77(12569)   on 2008-09-22 08:44:51 (Show Source): You can put this solution on YOUR website!x + 6x2 – 4 – x2 – 3 + 9x + 8 ----------------------------- 6x^2-x^2=5x^2 x+9x=10x -4-3+8=1 ----------------------------- 5x^2+10x+1 answer.