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# Recent problems solved by 'checkley71'

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 Linear_Equations_And_Systems_Word_Problems/92233: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is four-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression.1 solutions Answer 67095 by checkley71(8403)   on 2007-08-10 21:42:23 (Show Source): You can put this solution on YOUR website!x=first prize value 5x/6=second prize value (5x/6)(4/5)=third prize value x+5x/6+20x/30 x+5x/6+2x/3 x(1+5/6+2/3) x(6/6+5/6+4/6) x(15/6) x(2.5) or 2.5x
 Miscellaneous_Word_Problems/92243: The sum of two numbers is 29. Their difference is 7. What are the two numbers?1 solutions Answer 67093 by checkley71(8403)   on 2007-08-10 21:36:40 (Show Source): You can put this solution on YOUR website!x+x+7=29 2x=29-7 2x=22 x=22/2 x=11 answer for the smaller number. 11+7=18 for the larger number. proof 11+18=29 29=29
 Linear-equations/92245: Graph f(x) = 4x + 11 solutions Answer 67091 by checkley71(8403)   on 2007-08-10 21:34:20 (Show Source): You can put this solution on YOUR website! (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 4x +1).
 Miscellaneous_Word_Problems/92249: Given f(x) = –x3 – 2x2 – x – 3, find f(–2), f(0), and f(2)1 solutions Answer 67090 by checkley71(8403)   on 2007-08-10 21:31:43 (Show Source): You can put this solution on YOUR website!f(x)=-x^3-2x^2-x-3 f(-2)=-(-2)^3-2(-2^2)-(-2)-3 f(-2)=-(-8)-2(4)+2-3 f(-2)=8-8+2-3 f(-2)=-1 ----------------------------- just replace x with 0 then 2 & solve the same way.
 Equations/92063: Please help me solve this equation:(b+1/3=21 solutions Answer 67086 by checkley71(8403)   on 2007-08-10 21:24:29 (Show Source): You can put this solution on YOUR website!b+1/3=2 b=2-1/3 b=1 2/3 or 5/3 answer. proof 5/3+1/3=2 6/3=2 2=2
 Expressions-with-variables/92114: This question is from textbook algebra 1 6q+91 solutions Answer 67085 by checkley71(8403)   on 2007-08-10 21:20:38 (Show Source): You can put this solution on YOUR website!if 6q+9=0 then 6q=-9 then q=-9/6 then q=-1 1/2 answer.
 Numeric_Fractions/92138: -3=n over 6 + 9 be very detailed please 1 solutions Answer 67083 by checkley71(8403)   on 2007-08-10 21:16:29 (Show Source): You can put this solution on YOUR website!-3=(n/6)+9 n/6=-3-9 n/6=-12 now cross multiply n=-72 answer. ---------------------------------------------- or -3=n/(6+9) -3=n/15 cross multiply n=-45 answer.
 Numeric_Fractions/92140: (4.23)(1.6) can you kindly help me1 solutions Answer 67082 by checkley71(8403)   on 2007-08-10 21:11:36 (Show Source): You can put this solution on YOUR website!xxxxxxxx4.23 xxxxxxxxx1.6 ------------------ xxxxxxxx2538 xxxxxxxx423 ----------------- xxxxxxx6.768 answer
 Graphs/92154: Can someone please help me with this problem it is from a work sheet. solve the system by graphing x+y=4 -x=y=21 solutions Answer 67080 by checkley71(8403)   on 2007-08-10 21:03:53 (Show Source): You can put this solution on YOUR website!TOO MANY = SIGNS IN THE SECOND EQUATION. FIX & RESUBMIT.
 Polynomials-and-rational-expressions/92163: Write your result in scientific notation (6 x 10^12)(3.2 x 10^8)/ (1.6 x 10^7)(3 x 10^2)1 solutions Answer 67079 by checkley71(8403)   on 2007-08-10 20:59:46 (Show Source): You can put this solution on YOUR website!(6x10^12)(3.2x10^8)/(1.6x10^7)(3x10^2) (6*3.2*10^20)/(1.6*3*10^9) (19.2*10^20)/(4.8*10^9) (19.2/4.8)(10^20/10^9) 4*10^11
 Quadratic_Equations/92157: Find the solution sets for the following: x^4 + 2x^2 - 15 = 01 solutions Answer 67077 by checkley71(8403)   on 2007-08-10 20:53:07 (Show Source): You can put this solution on YOUR website!x^4+2x^2-15=0 (x^2+5)(x^2-3)=0 x^2+5=0 x^2=-5 x=sqrt-5 x=+/-2.236i answer. x^2-3=0 x^2=3 x=sqrt3 x=+/-1.732 answer.
 Finance/92231: if P/5 = q, then p/10 =?1 solutions Answer 67075 by checkley71(8403)   on 2007-08-10 20:43:50 (Show Source): You can put this solution on YOUR website!p/5=q then p/10=q/2
 Miscellaneous_Word_Problems/92237: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.1 solutions Answer 67074 by checkley71(8403)   on 2007-08-10 20:41:05 (Show Source): You can put this solution on YOUR website!6x+9(72-x)=480
 Graphs/92240: Solve the system by substitution. 3x – y = –7 x + y = –9 1 solutions Answer 67073 by checkley71(8403)   on 2007-08-10 20:38:13 (Show Source): You can put this solution on YOUR website!x+y=-9 or y=-x-9 now substitute. 3x-(-x-9)=-7 3x+x+9=-7 4x=-7-9 4x=-16 x=-16/4 x=-4 answer. -4+y=-9 y=-9+4 y=-5 answer. proof 3*-4-(-5)=-7 -12+5=-7 -7=-7
 percentage/91480: Business and finance. Al purchased a new refrigerator that cost \$736.12 with interest included. He paid \$100 as a down payment and agreed to pay the remainder in 18 monthly payments. What amount will he be paying per month? 1 solutions Answer 66460 by checkley71(8403)   on 2007-08-04 17:16:37 (Show Source): You can put this solution on YOUR website!(736.12-100)/18=636.12/1835.34 will be the monthly payments.
 Average/91482: José rode his trail bike for 10 miles. Two-thirds of the distance was over a mountain trail. How long is the mountain trail? 1 solutions Answer 66459 by checkley71(8403)   on 2007-08-04 17:12:21 (Show Source): You can put this solution on YOUR website!2/3*10=20/3=6.6667 miles is the mountain trail.
 Equations/91500: Can someone please help me solve this problem. I am having trouble understanding how to solve it. 3x+4y=12 with this solutions: (0, ),(2/3, ),( ,0),and (-2/3, ). Thank you.1 solutions Answer 66458 by checkley71(8403)   on 2007-08-04 17:09:50 (Show Source): You can put this solution on YOUR website!3X+4Y=12 NOW SUBSTITUTE 0 FOR X & SOLVE FOR Y: 3*0+4Y=12 4Y=12 Y=12/4 Y=3 ANSWER IS (0,3) 3*2/3+4Y=12 6/3+4Y=12 2+4Y=12 4Y=12-2 4Y=10 Y=10/4 Y=5/2 ANSWER (2/3,5/2) 3X+4*0=12 3X=12 X=12/3 X=4 ANSWER (4,0) 3*-2/3+4Y=12 -6/3+4Y=12 -2+4Y=12 4Y=12+2 4Y=14 Y=14/4 Y=7/2 ANSWER (-2/3,7/2) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/4 +3).
 Equations/91502: Can someone please help me solve this problem? Equation is C=mx+b 10(x)+40 Thank you.1 solutions Answer 66456 by checkley71(8403)   on 2007-08-04 17:00:37 (Show Source): You can put this solution on YOUR website!C=10X+40 IF THIS A LINE EQUATION THEN: (graph 300x200 pixels, x from -6 to 5, y from -10 to 45, y = 10x +40). or if not a line equation then: C=10(X+4)
 Linear-equations/91510: y=-2/3(2)+41 solutions Answer 66454 by checkley71(8403)   on 2007-08-04 16:55:21 (Show Source): You can put this solution on YOUR website!Y=-2/3(2)+4 Y=-4/3+4 Y=(-4+12)/3 Y=8/3 ANSWER. PROOF 8/3=-2/3(2)+4 8/3=-4/3+12/3 8/3=8/3
 test/91512: Evaluate 11!/8!1 solutions Answer 66453 by checkley71(8403)   on 2007-08-04 16:51:36 (Show Source): You can put this solution on YOUR website!(11*10*9*8*7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) NOW WE CAN CANCEL OUT ALL COMMON MULTIPLIERS THUS: (8*7*6*5*4*3*2*1) & WE HAVE LEFT IN THE NUMERATOR 11*10*9=990 ANSWER.
 Coordinate-system/91416: What is the y-intercept of -2x+2y=16?1 solutions Answer 66412 by checkley71(8403)   on 2007-08-04 10:47:22 (Show Source): You can put this solution on YOUR website!-2x+2y=16 SORRY SORRY SORRY! I HAD THE = SIGN IN THE WRONG PLACE. 2Y=2X+16 Y=2X/2+16/2 Y=X+8 THE Y INTERCEPT IS (0,8)
 Linear-equations/91425: graph the function can you please help me with this f(x)=-2x-51 solutions Answer 66411 by checkley71(8403)   on 2007-08-04 10:44:20 (Show Source): You can put this solution on YOUR website!Y=-2X-5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x -5).
 Miscellaneous_Word_Problems/91421: a coffee merchant has coffee beans that sell for \$9 a per pound and \$12 per pound. The two types are to be mixed to create 100 pounds of mixture that will sell for \$11.25 per pound. How much of each type of bean should be in used in the mixture?1 solutions Answer 66410 by checkley71(8403)   on 2007-08-04 10:40:13 (Show Source): You can put this solution on YOUR website!12X+9(100-X)=100*11.25 12X+900-9X=1125 3X=1125-900 3X=225 X=225/3 X=75 POUNDS OF \$12 COFFEE. 100-75=25 POUNDS OF \$9 COFFEE PROOF 12*75+9*25=1125 900+225=1125 1125=1125
 Linear-equations/91426: can someone please help me with this thank you in advance if f(x)=4x-3 find the following f(-1)1 solutions Answer 66409 by checkley71(8403)   on 2007-08-04 10:34:07 (Show Source): You can put this solution on YOUR website!F(-1)=4*-1-3 F(-1)=-4-3 F(-1)=-7 ANSWER.
 Functions/91442: This question is from textbook Introductory & Intermediate ALGEBRA Please help me solve this question. Find the equation of each line. Write the equation using function notation. Through (-4,8); perpendicular to 2x - 3y = 1 Thanks. 1 solutions Answer 66408 by checkley71(8403)   on 2007-08-04 10:31:30 (Show Source): You can put this solution on YOUR website!2X-3Y=1 -3Y=-2X+1 Y=-2X/-3+1/-3 Y=2X/3-1/3 THIS LINE HAS A SLOPE OF 2/3 SO A LINE WHICH IS PERPENDICULAR HAS A SLOPE OF -3/2. NOW USING THIS SLOPE & THE POINT (-4,8) IN THE LINE EQUATION [Y=mX+b] WE GET 8=-3/2*-4+b 8=12/2+b 8=6+b b=8-6 b=2 THUS THE EQUATION OF THIS LINE IS: Y=-3X/2+2
 Linear-systems/91444: write the equations of the lines passing through (6,-10) and (6,-6). Thanks in advance. Thank you.1 solutions Answer 66407 by checkley71(8403)   on 2007-08-04 10:24:37 (Show Source): You can put this solution on YOUR website!SLOPE=(-6+10)/(6-6)=4/0 IS THE SLOPE OF A VERTICLE LINE THROUGH X=6 WHICH IS THE LINE EQUATION PASSING THROUGH THESE 2 POINTS.
 Linear-systems/91445: write the equation of the line wuth x intercept (12,0) and y intercept (0,-2). Thank you.1 solutions Answer 66406 by checkley71(8403)   on 2007-08-04 10:21:47 (Show Source): You can put this solution on YOUR website!slope=(-2-0)/(0-12)=-2/-12=1/6. WITH A Y INTERCEPT OF -2 WE HAVE THE LINE FORMULA Y=X/6-2
 Miscellaneous_Word_Problems/91460: For the graph of the function f(x) = x^2 - 6x + 10, find the vertex.1 solutions Answer 66405 by checkley71(8403)   on 2007-08-04 10:16:58 (Show Source): You can put this solution on YOUR website!Y=X^2-6X+10 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -6x +10).
 Linear-systems/91453: Lane invested \$14000 part at 15% and part at 2%. If the total interest at the end of the year is \$1060 how much did she invest at 15%. My dear friends, if anyone can help I would be so grateful.1 solutions Answer 66404 by checkley71(8403)   on 2007-08-04 10:14:12 (Show Source): You can put this solution on YOUR website!LET X BE THE AMOUNT INVESTED @ 15% & 14000-X BE THE AMOUNT INVESTED @ 2%. .15X+.02(14000-X)=1060 .15X+280-.02X=1060 .13X=1060-280 .13X=780 X=780/.13 X=6000 ANSWE RFOR AMOUNT INVESTED @ 15%. PROOF .15*6000+.02*8000=1060 900+160=1060 1060=1060
 Equations/91458: 3+m/2=51 solutions Answer 66403 by checkley71(8403)   on 2007-08-04 10:03:50 (Show Source): You can put this solution on YOUR website!3+M/2=5 M/2=5-3 M/2=2 NOW CROSS MULTIPLY M=2*2 M=4 ANSWER. PROOF 3+4/2=5 3=2=5 5=5