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# Recent problems solved by 'checkley71'

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 Equations/125224: Each year, your school organizes a carnival to raise money for a class trip. This year, a total of 1026 people attended the carnival.Last year,a total of 950 people attended the carnival.By what percent did the attendance increase from last year to this year. Any help with this equation would be Greatly appreciated:} 1 solutions Answer 91773 by checkley71(8403)   on 2008-02-06 09:09:12 (Show Source): You can put this solution on YOUR website!1026/950=1.08 OR AN 8% INCREASE IN ATTENDANCE.
 Quadratic_Equations/125219: a number increased by twice the square root is 48. what is this number1 solutions Answer 91772 by checkley71(8403)   on 2008-02-06 09:07:19 (Show Source): You can put this solution on YOUR website!X+2SQRTX=48 2SQRTX=48-X NOW SQUARE BOTH SIDES OF THE EQUATION. 4X=2304-96X+X^2 X^2-96X-4X+2304=0 X^2-100X+2304=0 (X-36)(X-64)=0 X-36=0 X=36 ANSWER. PROOF 36+2SQRT36=48 36+2*6=48 36+12=48 48=48
 Quadratic_Equations/125220: looked like a rectangle is 300 cm^2. the difference between length and width is 13 cm. find the lenght of the diagonal1 solutions Answer 91771 by checkley71(8403)   on 2008-02-06 08:50:47 (Show Source): You can put this solution on YOUR website!L=W+13 300=W(W+13) 300=W^2+13W W^2+13W-300=0 (W-12)(W+25) W-12=0 W=12cmNSWER FOR THE WIDTH. L=12+13=25cm R THE LENGTH. THE DIAGONAL IS C A^2+B^2=C^2 12^2+25^2C^2 144+625=C^2 769=C^2 C=SQRT769 C=27.73cm IS THE LENGTH OF THE DIAGONAL.
 Radicals/125107: PLEASE HELP ME!!! Simplify. write in lowest term 1)sqrt 45/125 Simplify. Assume the variable x represents a positive real number 2)sqrt 16x^14 Rewrite the following in simplified radical form. 3)sqrt 27 Rewrite the following in simplified radical form. Assume all variables represent positive real numbers. 4)Sqrt 50y^12 Solve for z. Where z is a real number 5)sqrt z-9=2 THANK YOU IN ADVANCE!!! 1 solutions Answer 91725 by checkley71(8403)   on 2008-02-05 18:59:17 (Show Source): You can put this solution on YOUR website!1) SQRT45/125=SQRT.36=.6 ANSWER. 2) SQRT16X^14=4X^7 ANSWER. 3) SQRT27=3SQRT3 ANSWER. 4) SQRT50Y^12=5Y^6SQRT2 ANSWER. 5) SQRTZ-9=2 OR SQRTZ=2+9 OR SQRTZ=11 OR Z=11^2 OR Z=121 ANSWER.
 expressions/125110: PLEASE HELP The lenght of a rectangle is 1ft more then twice its width, and the area of the rectangle is 45ft^2. I am trying to find the diensions of the rectangle. Length _____ft Width _____ft THANK YOU IN ADVANCE1 solutions Answer 91724 by checkley71(8403)   on 2008-02-05 18:50:45 (Show Source): You can put this solution on YOUR website!L=2W+1 AREA=L*W 45=(2W+1)W 45=2W^2+W 2W^2+W-45=0 (2W-9)(W+5)+0 2W-9=0 2W=9 W=9/2 W=4.5 FEET ANSWER FOR THE WIDTH. L=2*4.5+1 L=9+1 L=10 FEET ANSWER FOR THE LENGTH. PROOF 4.5*10=45 45=45
 Expressions-with-variables/125113: How do you know if an expression has infinitely many solutions?1 solutions Answer 91721 by checkley71(8403)   on 2008-02-05 18:40:40 (Show Source): You can put this solution on YOUR website!AN EXPRESSION THAT HAS MORE UNKNOWNS THAN EQUATIONS FITS THIS CRITERIA. EXAMPLE: 2X+3Y=8 X COULD BE=1 THEN Y=2. 2*1+3*2=8 OR 2+6=8 OR 8=8. OR X COULD BE=2 THEN Y=4/3. 2*2+3*4/3=8 OR 4+4=8 OR 8=8. OR X COULD BE=10 THEN Y=-4. 2*10+3*-4=8 OR 20-12=8 OR 8=8. YOU CAN SEE HOW AN INFINITE NUMBER OF SOLUTIONS ARE POSSIBLE. EVERY DIFFERENT X VALUE CREATES A CORRESPONDING DIFFERENT VALUE FOR Y.
 Distributive-associative-commutative-properties/125112: factor: x^2-10x+241 solutions Answer 91718 by checkley71(8403)   on 2008-02-05 18:32:17 (Show Source): You can put this solution on YOUR website!X^2-10X+24=0 (X-12)(X+2)=0 X-12=0 X=12 ANSWER. X+2=0 X=-2 ANSWER.
 Distributive-associative-commutative-properties/125111: factor: a^2+11a+181 solutions Answer 91717 by checkley71(8403)   on 2008-02-05 18:30:10 (Show Source): You can put this solution on YOUR website!A^2+11A+18=0 (A+9)(A+2)=0 A+9=0 A=-9 ANSWER. A+2=0 A=-2 ANSWER.
 Quadratic_Equations/125099: 1.) 2x^2 - 5x – 10 = 0 2.) 3x^2 - 8x + 5 = 01 solutions Answer 91716 by checkley71(8403)   on 2008-02-05 17:41:03 (Show Source): You can put this solution on YOUR website!1) 2x^2-5x-10=0 using the quadratic equation we get: x=(5+-sqrt[-5^2-4*2*-10])/2*2 x=(5+-sqrt[25+80])/4 x=(5+-sqrt105)/4 x=(5+-10.25)/4 x=(5+10.25)/4 x=15.25/4 x=3.81 answer. x=(5-10.25)/4 x=-5.25/4 x=-1.31 answer. ------------------------------------------- 2) 3x^2-8x+5=0 (3x-5)(x-1)=0 3x-5=0 3x=5 x=5/3 answer. x-1=0 x=1 answer.
 Linear-equations/125096: Find the slope of the line 3y+8=01 solutions Answer 91715 by checkley71(8403)   on 2008-02-05 17:31:11 (Show Source): You can put this solution on YOUR website!3y+8=0 3y=8 y=8/3 The slope of this line is 0. Or an horizontal line through the point (0,8/3) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 8/3).
 Linear-equations/125097: Graph y equals three-fifths x1 solutions Answer 91714 by checkley71(8403)   on 2008-02-05 17:27:48 (Show Source): You can put this solution on YOUR website!Y=3X/5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y =3x/5).
 Linear-equations/125095: Find the slope of the line through the points (10, -7) and (-3, -2)1 solutions Answer 91713 by checkley71(8403)   on 2008-02-05 17:25:45 (Show Source): You can put this solution on YOUR website!SLOPE=(-2+7)/(-3-10)=5/-13 OR -5/13 ANSWER.
 Money_Word_Problems/125079: Cofee merchant has coffee beans that sell for \$9 per pound and \$12 per pound. The two types are to be mixed to create 100lb of a mixture that will sell for \$11.25 per pound. How much of each type of bean should be used in the mixture?1 solutions Answer 91712 by checkley71(8403)   on 2008-02-05 17:23:45 (Show Source): You can put this solution on YOUR website!12X+9(100-X)=11.25*100 12X+900-9X=1125 3X=1125-900 3X=225 X=225/3 X=75 POUNDS OF \$12 COFFEE BEANS. 100-75=25 POUNDS OF \$9 COFFEE. PROOF. 12*75+9*25=1125 900+225=1125 1125=1125
 Miscellaneous_Word_Problems/125094: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many voted did each candidate receive.1 solutions Answer 91711 by checkley71(8403)   on 2008-02-05 17:14:59 (Show Source): You can put this solution on YOUR website!X+(X+220)=810 2X+220=810 2X=810-220 2X=590 X=590/2 X=295 ANSWER. FOR THE LOSSER'S NUMBER OF VOTES. 295+220=515 ANSWER FOR THE WINNER'S NUMBER OF VOTES. PROOF 295+515=810 810=810
 Polynomials-and-rational-expressions/125084: Please help me solve this equation Solve by removing factors of 2 36y^12/40y^91 solutions Answer 91710 by checkley71(8403)   on 2008-02-05 17:10:19 (Show Source): You can put this solution on YOUR website!36Y^12/40Y^9 REDUCE BY DIVIDING THE INTEGERS BY 4 & THE Y TERMS BY Y^9 9Y^3/10 ANSWER.
 Linear-systems/125088: This question is from textbook intermediate algebra 4x-2y=42 5x+3y=251 solutions Answer 91708 by checkley71(8403)   on 2008-02-05 17:05:44 (Show Source): You can put this solution on YOUR website!MULTIPLY THE FIRST EQUATION BY 3 & THE SECOND EQUATION BY 2 & THEN ADD. 12X-6Y=126 10X+6Y=50 ------------------------------- 22X=176 X=176/22 X=8 ANSWER. 4*8-2Y=42 32-2Y=42 -2Y=42-32 -2Y=10 Y=10/-2 Y=-5 ANSWER. PROOF: 5*8+3*-5=25 40-15=25 25=25
 Systems-of-equations/125089: There were 166 paid admissions to a game. The price was \$2.00 for aduls and \$0.75 for children. The amount taken in was \$293.25. How many adults and how many children attended?1 solutions Answer 91706 by checkley71(8403)   on 2008-02-05 16:58:19 (Show Source): You can put this solution on YOUR website!A+C=166 OR A=166-C 2A+.75C=293.25 NOW REPLACE A WITH (166-C) & SOLVE FOR C. 2(166-C)+.75C=293.25 332-2C+.75C=293.25 -1.25C=293.25-332 -1.25C=-38.75 C=-38.75/-1.25 C=31 THE NUMBER OF CHILDREN. 166-31=135 THE NUMBER OF ADULTS. PROOF 2*135+.75*31=293.25 270+23.25=293.25 293.25=293.25
 Numeric_Fractions/125080: Please help me solve this equation Add, first finding the LCD 4/25+1/30+2/6251 solutions Answer 91705 by checkley71(8403)   on 2008-02-05 16:51:47 (Show Source): You can put this solution on YOUR website!4/25+1/30+2/625 THE LCD IS 3750. (4*150+1*125+2*6)/3750 (600+25+12)/3750 637/3750 ANSWER.
 Polynomials-and-rational-expressions/125078: Please help me solve this equation" Multiply and simplify 7y^4/2y * 3/y1 solutions Answer 91704 by checkley71(8403)   on 2008-02-05 16:28:11 (Show Source): You can put this solution on YOUR website!(7Y^4/2Y)(3/Y) (7Y^3/2)(3/Y) 21Y^3/2Y 21Y^2/2 ANSWER.
 Systems-of-equations/125067: Calvin paid his \$1.35 skate rental with dimes and nickels only. There were 19 coins in all. How many of each coin were there?1 solutions Answer 91702 by checkley71(8403)   on 2008-02-05 16:25:07 (Show Source): You can put this solution on YOUR website!N+D=19 N=19-D .10D+.05(19-D)=1.35 .10D+.95-.05D=1.35 .05D=1.35-.95 .05D=.40 D=.40/.05 D=8 DIMES. 19-8=11 NICKELS. PROOF .10*8+.05*11=1.35 .80+.55=1.35 1.35=1.35
 Mixture_Word_Problems/125072: This question is from textbook algebra 1 33 1/3% of a number is 3 2/3. Find the number.1 solutions Answer 91699 by checkley71(8403)   on 2008-02-05 16:17:05 (Show Source): You can put this solution on YOUR website!1/3*X=3 2/3 X/3=11/3 CROSS MULTIPLY 3X=3*11 3X=33 X=33/3 X=11 ANSWER FOR THE NUMBER.
 Linear-equations/125070: Please help me to solve this problem. __ M (2,4 ) is the midpoint of RS. If S has coordinates (5,0 ) find the distance from R to S.1 solutions Answer 91696 by checkley71(8403)   on 2008-02-05 16:14:14 (Show Source): You can put this solution on YOUR website!THE DISTANCE BETWEEN X=5 & X=2 IS 5-2=3. SO THE DISTANCE BETWEEN M & R IS ALSO 3 OR 2-3=-1 THE X COORDINATE FOR THE R POINT. THE DISTANCE BETWEEN Y=0 & Y=4 IS 4-0=4. SO THE DISTANCE BETWEEN M & R IS ALSO 4 0R 4+4=8 THE Y COORDINATE FOR THE R POINT. THUS WE HAVE R=(-1,8) THE DISTANCE BETWEEN (-1,8) & (5,0) IS 5+1=6 FOR THE X AXIS. 8-0=8 FOR THE Y AXIS. SO WE HAVE A RIGHT TRIANGLE WITH SIDES EQUAL TO 6 & 8. NOW WE FIND THE HYPOTENUSE (DISTANCE BETWEEN R&S). 6*2+8*2=RS^2 36+64=RS^2 100=RS^2 RS=SQRT100 RS=10 ANSWER FOR THE DISTANCE BETWEEN R & S.
 Graphs/125044: Evaluate 2m-5n/n+3p if m = –2, n = 4, and p = –1. 1 solutions Answer 91691 by checkley71(8403)   on 2008-02-05 16:01:43 (Show Source): You can put this solution on YOUR website!2M-5N/N+3P (2*-2)-(5*4/4)+(3*-1) -4-5-3=-12 ANSWER.
 Graphs/125038: This question is from textbook Structure and Method Book 1 3x+y=51 solutions Answer 91684 by checkley71(8403)   on 2008-02-05 15:36:16 (Show Source): You can put this solution on YOUR website!3X+Y=5 Y=-3X+5 ANSWER. IF THIS IS A LINE EQUATION.
 Expressions-with-variables/125041: This question is from textbook Structure and Method Book 1 2x+y=281 solutions Answer 91683 by checkley71(8403)   on 2008-02-05 15:35:08 (Show Source): You can put this solution on YOUR website!2X=Y=28 Y=-2X+28 IF THIS IS A LINE EQUATION THEN THIS IS THE ANSWER.
 Linear_Equations_And_Systems_Word_Problems/125045: Use the associative property of addition to write an expression that is equivalent to the following expression. (9 + 20) + 19 1 solutions Answer 91682 by checkley71(8403)   on 2008-02-05 15:33:18 (Show Source): You can put this solution on YOUR website!(9+20)+19 9+(20+19)
 Equations/125051: 4 2nd power + 2 x 7 – (5 x 4 – 15)1 solutions Answer 91681 by checkley71(8403)   on 2008-02-05 15:31:22 (Show Source): You can put this solution on YOUR website!4^2+2*7-(5*4-15) 16+14-(20-15) 30-5=25 ANSWER.
 Rectangles/125064: 17. Write an equation for a line perpendicular to Y=2/3x-5which contains point (2,4) (Points: 1) y = 2/3x + 4 y = -3/2x + 4 y = -3/2x + 7 y = 2x + 6 is the answer C 1 solutions Answer 91680 by checkley71(8403)   on 2008-02-05 15:28:06 (Show Source): You can put this solution on YOUR website!Y=2X/3-5 (RED LINE). THIS LINE HAS A SLOPE OF 2/3. THUS A PERPENDICULAR LINE HAS A SLOPE OF -3/2. 4=-3/2*2+b 4=-3+b b=4+3 b=7 IS THE Y INTERCEPT. THUS THE EQUATION FOR THIS LINE IS: Y=-3X/2+7 (GREEN LINE). YES THE ANSWER IS (C). (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = 2x/3 -5 and y = -3x/2 +7).
 expressions/125065: I am trying to simplify the following 1 solutions Answer 91677 by checkley71(8403)   on 2008-02-05 15:18:27 (Show Source): You can put this solution on YOUR website!V^6U^2/VU^4=V^5/U^2
 expressions/125062: I am trying to write this without parentheses 1 solutions Answer 91675 by checkley71(8403)   on 2008-02-05 15:16:32 (Show Source): You can put this solution on YOUR website![U^2/-3V]^2=U^2/9V^2 ANSWER. [((-3)Y^2/Z^3)^2=9Y^4/Z^6 ANSWER.