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# Recent problems solved by 'checkley77'

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 Human-and-algebraic-language/142642: A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit?1 solutions Answer 103817 by checkley77(12569)   on 2008-05-22 16:40:06 (Show Source): You can put this solution on YOUR website!30+5L=10.26 MULTIPLY THIS EQUATION BY -2 & ADD. 6O+4L=11.16 -60-10L=-20.52 ------------------------ -6L=-9.36 L=-9.36/-6 L=1.56 IS THE PRICE OF EACH LEMON. 3O+5*1.56=10.26 3O+7.80=10.26 3O=10.26-7.80 3O=2.46 O=2.46/3 O=.82 COST OF EACH ORANGE. PROOF 6*.82+4*1.56=11.16 4.92+6.24=11.16 11.16=11.16
 Quadratic_Equations/142657: 8x= -56 Solve using the multiplication principle. Would the answer be -7? Or am I way off again??1 solutions Answer 103816 by checkley77(12569)   on 2008-05-22 16:32:52 (Show Source): You can put this solution on YOUR website!8x=-56 x=-56/8 x=-7 answer.
 Quadratic_Equations/142656: Use the intercepts to graph the equation. x + 3y = 6 HELP PLEASE!! 1 solutions Answer 103815 by checkley77(12569)   on 2008-05-22 16:30:39 (Show Source): You can put this solution on YOUR website!X+3Y=6 3Y=-X=6 Y=-X/3+6/3 Y=-X/3+2 IF Y=0 THEN: 0=-X/3+2 -X/3=-2 -X=-2*3 -X=-6 X=6 OR (6,0) IS THE X INTERCEPT. SETTING X=0 THEN: Y=-3*0+2 Y=2 OR (0,2) IS THE Y INTERCEPT. (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, -x/3 =2).
 Human-and-algebraic-language/142643: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?1 solutions Answer 103814 by checkley77(12569)   on 2008-05-22 16:26:00 (Show Source): You can put this solution on YOUR website!B+C=90 OR C=90-B A=3B NOW WE ADD THE THREE ANCLES A,B & C. 3B+B+(90-B)=180 3B+B+90-B=180 3B=180-90 3B=90 B=90/3 B=30 DEGREES. A=3830=90 DEGREES. C=90-30 C=60 DEGREES. PROOF: 90+30+60=180 180=180
 Human-and-algebraic-language/142644: The sum of two numbers is 72. One of the numbers is six more than twice the other. What are the two numbers? 1 solutions Answer 103813 by checkley77(12569)   on 2008-05-22 16:18:24 (Show Source): You can put this solution on YOUR website!x+y=72 or x=72-y x=2y+6 now we set these equations equal to each other: 72-y=2y+6 -y-2y=6-72 -3y=-66 y=-66/-3 y=22 for one number. x=72-22 x=50 for the other number. proof: 50=2*22+6 50=44+6 50=50
 Quadratic_Equations/142648: The equation y= -1777x + 27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is x=0 corresponds to 2000, x=3 corresponds to 2003, x=4 is 2004 and so on. Predict the number of gun deaths in the year 2004 and 2007 and predict in what year the number of gun deaths will be 11,160Predicted gun deaths in 2000 and 2004 would be?? And what year will there be 11160 gun deaths? How do I figure this out???? I was doing so good now am stuck again. Will someone please help with this word problem??1 solutions Answer 103812 by checkley77(12569)   on 2008-05-22 16:13:49 (Show Source): You can put this solution on YOUR website!y=-1,777x+27,153 for x=4 y=-1,777*4+27,153 y=-7,108+27,153 y=20,045 for the number in 2004. for x=7 y=-1,777*7+27,153 y=-12,439+27,153 14,714 for the number in 2007. 11,160=-1,777x+27,153 1,777x=27,153-11,160 1,777x=15,993 x=15,993/1,777 x=9 or the year 2009 the projected deaths will be 11,160.
 Linear-equations/142529: How can I answer this question? Find the slope and y-intercept of the graph of the equation 2x + 3y =6. I am having problems with graphs1 solutions Answer 103798 by checkley77(12569)   on 2008-05-22 11:03:04 (Show Source): You can put this solution on YOUR website!The standard line equaton is [Y=mX+b] where m=slope & b=y intercept. 2x+3y=6 3y=-2x+6 y=-2x/3+6/3 y=-2x/3+2 the slope=-2/3 & the y intercept=2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x/3 +2).
 Bodies-in-space/142534: The area of the mural is 33 square meters...what is the radius1 solutions Answer 103797 by checkley77(12569)   on 2008-05-22 10:58:12 (Show Source): You can put this solution on YOUR website!area=pir^2 33=3.14*r^2 r^2=33/3.14 r^2=10.51 x=sqrt10.51 x=3.24 meters is the radius.
 Numbers_Word_Problems/142373: two complementary angles have degree measures p and 3p-61 solutions Answer 103744 by checkley77(12569)   on 2008-05-21 17:12:08 (Show Source): You can put this solution on YOUR website!p+3p-6=90 4p=90+6 4p=96 p=96/4 p=24 answer for the smaller angle. 3*24-6=66 for the larger angle. Proof: 24+66=90 90=90
 Linear-systems/142457: .5x + 2y = 9 4x - 15y = 21 solutions Answer 103743 by checkley77(12569)   on 2008-05-21 17:06:41 (Show Source): You can put this solution on YOUR website!.5x+2y=9 multiply this equation by -8 & add. ------------------------------------------------------------------ 4x-15y=2 -4x-16y=-72 ---------------------- -31y=-70 y=-70/-31 y=70/31 answer. 4x-15*70/31=2 4x-1050/31=2 4x=2+1050/31 4x=(2*31+1050)/31 4x=(62+1050)/31 4x=1112/31 x=(1112/31)/4 x=1112/31*1/4 x=1112/124 x=278/31 answer. Proof: 4*278/31-15*70/31=2 1112/31-1050/31=2 62/31=2 2=2
 Equations/142516: Simplify the expression. Write your answer in scientific notation. (2.6 x 10^5)^2 Help with this question would be greatly appreciated.1 solutions Answer 103741 by checkley77(12569)   on 2008-05-21 16:17:36 (Show Source): You can put this solution on YOUR website!(2.6 x 10^5)^2 6.76*10^10
 Equations/142447: solve for x 75= 68+80+x/31 solutions Answer 103675 by checkley77(12569)   on 2008-05-20 19:20:43 (Show Source): You can put this solution on YOUR website!75=68+80+x/3 X/3=75-68-80 X/3=-73 X=-73*3 X=-219 ANSWER. PROOF: 75=68+80-219/3 75=68+80-73 75=75
 Circles/142449: if the diameter of a circle is 18, how can i find the lenghth of an arc that measures 1001 solutions Answer 103674 by checkley77(12569)   on 2008-05-20 19:18:05 (Show Source): You can put this solution on YOUR website!C=2PIR C=2*3.14*18/2 C=6.28*9 C=56.52 IS THE LENGTH OF THE CIRCUMFERANCE. AN ANGLE OF 100 IS 100/360 0R .278 OR 27.8% OF THE CIRCUMFERANCE. 56.52*.278=15.71 IS THE LENGTH OF THE 100 DEGREE ARC.
 Sequences-and-series/142439: This question is from textbook Survey of Math w/ Apllications I need to translate this into an equation and solve it showing all of my work and I do not know how Car rental agency A will rent a compact car for \$35 per day and an additional charge of \$0.24 per mile. Car rental agency B will charge only \$0.16 per mile but charges \$41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain? Thank you so much1 solutions Answer 103672 by checkley77(12569)   on 2008-05-20 19:13:03 (Show Source): You can put this solution on YOUR website!A=3*35+.24X (RED LINE) B=3*41+.16X (GREEN LINE) 3*41+.16X<=3*35+.24X 123+.16X<=105+.24X .16X-.24X<=105-123 -.08X<=-18 X>=-18/-.08 [DIVIDING BY A MINUS NUMBER CHANGES THE < SIGN TO THE > SIGN] X>=225 MILES WILL MAKE BOTH RENTALS COST THE SAME. THEREFORE ANY MILEAGE MORE THAN 225 MILES MAKES PLAN B A BETTER BUY. (graph 300x300 pixels, x from -36 to 280, y from -10 to 200, of TWO functions .24x +105 and .16x +105).
 Sequences-and-series/142441: This question is from textbook Mike invested \$6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned \$624 in interest. How much did he invest at each rate? 1 solutions Answer 103670 by checkley77(12569)   on 2008-05-20 18:58:18 (Show Source): You can put this solution on YOUR website!.11x+.09(6000-x)=624 .11x+540-.09x=624 .02x=624-540 .02x=84 x=84/.02 x=4200 invested @ 11% 6000-4200=1800 amount invested @ 9% Proof: .11*4200+.09*1800=624 462+162=624 624=624
 Quadratic_Equations/142445: what is the answer to -2x2 + 5x = 0 15c2 - 12c = 48 m2=4m - 41 solutions Answer 103669 by checkley77(12569)   on 2008-05-20 18:51:36 (Show Source): You can put this solution on YOUR website!-2x^2+5x=0 -x(x+5)=0 -x=0 x=0 answer. x=5=0 x=-5 answer. 15c^2-12c=48 15c^2-12c-48=0 3(5c^2-4c-16)=0 Using the quadratic equation:we have: x=(4+-sqrt[-4^2-4*5*-16])/2*5 x=(4+-sqrt[16+320])/10 x=(4+-sqrt336/10 x=(4+-18.33)/10 x=(4+18.33)/10 x=22.33/10 x=2.233 answer. (x=4-18.33)/10 x=-14.33/10 x=-1.433 answer.
 Equations/142370: Bill is paid hourly. If he works 8 hours he will receive \$50. Write an equation for his salary based on the number of hours he works. . 1 solutions Answer 103667 by checkley77(12569)   on 2008-05-20 18:11:38 (Show Source): You can put this solution on YOUR website!50/8=\$6.25 pay scale per hour.
 Expressions-with-variables/142387: If P = 7y + 2xy - 6x and Q = 5 - 7y, find the value of 3P - 4Q. 1 solutions Answer 103666 by checkley77(12569)   on 2008-05-20 17:53:59 (Show Source): You can put this solution on YOUR website!P=7y+2xy-6x Q=5-7y find the value of 3P-4Q. 3(7y+2xy-6x)-4(5-7y) 21y+6xy-18x-20+28y 49y+6xy-18x-20 answer.
 Exponents/142396: (4x^2y^3z)x^2 ------------- yz 1 solutions Answer 103665 by checkley77(12569)   on 2008-05-20 17:49:35 (Show Source): You can put this solution on YOUR website!(4x^2y^3z)x^2 ------------- yz (4x^4y^3z)/yz (divide out y^1 & the z term). 4x^4y^2 answer.