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checkley77 answered: 12560 problems
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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 c 1 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

Equations/158487: (x^6)^(2/3) PLEASE HELP! Simplify!!! 1 solutions Answer 116766 by checkley77(12569)   on 2008-09-22 22:23:06 (Show Source): You can put this solution on YOUR website! (x^6)^(2/3) CUBERT(X^6*2) CUBERT(X^12)=X^4 ANSWER.

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>12 1 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

Quadratic_Equations/158508: Please help with my home work 1. solve by factoring x^2-10x = -16 2. Solve using the square root property 5x^2 -1 =74 3. Solve using the square root property (x + 6)^2 = 121 1 solutions Answer 116753 by checkley77(12569)   on 2008-09-22 21:55:25 (Show Source): You can put this solution on YOUR website! x^2-10x = -16 x^2-10x+16=0 (x-8)(x-2)=0 x-8=0 x=8 answer. x-2=0 x=2 answer. ------------------------------ 5x^2 -1 =74 5x^2-1-74=0 5x^2-75=0 5(x^2-25)=0 5(x-5)(x+5)=0 x-5=0 x=5 answer. x+5=0 x=-5 answer. ----------------------------- (x + 6)^2 = 121 x^2+12x+36-121=0 x^2+12x-85=0 (x+17)(x-5)=0 x+17=0 x=-17 answer. x-5=0 x=5 answer.

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 here 1 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=15 1 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=5-2p 1 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 : solve 1 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.