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# Recent problems solved by 'checkley75'

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 Linear-equations/89539: Solve each of the following systems by substitution. 5x - 2y= -5 y - 5x = 3 8x - 4y = 16 y = 2x - 4 4x - 12y = 5 -x + 3y= -1 1 solutions Answer 65081 by checkley75(3666)   on 2007-07-22 20:34:38 (Show Source): You can put this solution on YOUR website!Y-5X=3 OR Y=5X+3 NOW WE SUBSTITUTE (5X+3) FOR Y IN THE OTHER EQUATION & SOLVE FOR X: 5X-2(5X+3)=-5 5X-10X-6=-5 -5X=6-5 -5X=1 X=1/-5 X=-1/5 ANSWER. Y-5*-1/5=3 Y+5/5=3 Y+1=3 Y=3-1 Y=2 ANSWER. PROOF 5*-1/5-2*2=-5 -5/5-4=-5 -1-4=-5 -5=-5 I'LL LEAVE THE REST FOR YOU TO SOLVE USING THE SAME PROCEDURE!
 Linear-equations/89540: A coffee merchant has coffee beans that sell for \$9 per pound and \$12 per pound. The two types are to be mixed to create 100 lb 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 65079 by checkley75(3666)   on 2007-07-22 20:28:24 (Show Source): You can put this solution on YOUR website!9x+12(100-x)=100*11.25 9x+1200-12x=1125 -3x=1125-1200 -3x=-75 x=-75/-3 x=25 pounds of \$9 coffee. then we need 75 pounds of \$12 coffee. proof 9*25+12*75=100*11.25 225+900=1125 1125=1125
 Money_Word_Problems/89426: A television is marked down from \$350 to \$308. What is the discount rate? 1 solutions Answer 65029 by checkley75(3666)   on 2007-07-22 08:47:55 (Show Source): You can put this solution on YOUR website!(350-308)/350=42/350=.12=12% DISCOUNT.
 Surface-area/89445: The base of a rectangle is twice the side of a square, and the height of the rectangle is two more than the side of the square. The area of the rectangle is 32 square inch units more than the area of the square. Find the dimensions of the rectangle. 1 solutions Answer 65028 by checkley75(3666)   on 2007-07-22 08:45:24 (Show Source): You can put this solution on YOUR website!THE SQUARE AREA =X^2 THE AREA OF THE RECTANGLE = 2X(X+2) 2X(X+2)-32=X^2 2X^2+4X-32=X^2 2X^2-X^2+4X-32=0 X^2+4X-32=0 (X-4)(X+8)=0 X-4=0 X=4 ANSWER FOR THE SIDES OF THE SQUARE. SIDES OF THE RECTANGLE ARE 2*4=8 & 2(4+2)=2*8=16. THE SIDES OF THE RECTANGLE ARE 8 & 16. PROOF 2*4(4+2)-32=4^4 8*6-32=16 48-32=16 16=16
 Quadratic_Equations/89453: Please help me on how to figure out the y-intercept of the graph of the equation y=x2 (this is x squared) 6x = 9 and -3/2 (x-6)2 (squared).1 solutions Answer 65026 by checkley75(3666)   on 2007-07-22 08:38:34 (Show Source): You can put this solution on YOUR website!y=x^2 (red line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 ). --------------------------------------------------------------------------- 6x=9 or x=9/6 or x=1.5 this line has no y intercept. it is a verticle line passing through (1.5,0) -------------------------------------------------------------------------- -3/2(x-6)^2 also has no y intercept -3/2(x^2-12x+36) or -3x^2-18x-54 or -3(x^2+6x+18)
 Linear_Equations_And_Systems_Word_Problems/89377: a) Set up an equation for the perimeter involving only L, the length of the rectangle. Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50. b)Solve this equation algebraically to find the length of the rectangle. Find the width as well1 solutions Answer 65011 by checkley75(3666)   on 2007-07-21 19:10:30 (Show Source): You can put this solution on YOUR website!2L+2W=50 & W=L-5 THUS WE SUBSTITUTE (L-5) FOR W & SOLVE THE FIRST EQAUTION: 2L+2(L-5)=50 2L+2L-10=50 4L=50+10 4L=60 L=60/4 L=15 IS THE LENGTH OF THE RECTANGLE. W=15-5 W=10 PROOF: 2*15+2*10=50 30+20=50 50=50
 Polynomials-and-rational-expressions/89424: The formula N=t^2-t/2 describes the number of football games, N that must be played in a league with t teams if each team is to play every other team once. How do I use the above to solve this problem below If a league has 36 games scheduled, how many teams belong to the league,assuming that each team plays every other team once? The book says 9 how would I set it up in the formula above.1 solutions Answer 65010 by checkley75(3666)   on 2007-07-21 19:04:22 (Show Source): You can put this solution on YOUR website!36=T^2-T/2 T^2-T/2-36=0 USING THE QUADRATIC EQUATION WE GET (T=6.26 & -5.76) SOLVING THIS EQUATION USING 9 AS THE NUMBER OF TEAMS (t) WE GET N=9^2-9/2 N=81-4.5 N=76.5 THIS SAYS SOMETHING IS WRONG WITH YOUR EQUATION OR THE ANSWER 9 IS INCORRECT.
 Mixture_Word_Problems/89411: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure anitfreeze with an appropriate amount of a 40% solution. How many quarts of each should she use?1 solutions Answer 65009 by checkley75(3666)   on 2007-07-21 18:51:15 (Show Source): You can put this solution on YOUR website!.40X+(20-X)=.5*20 .4X+20-X=10 -.6X=10-20 -.6X=-10 X=-10/-.6 X=16.67 GALLONS OF 40% ANTIFREEZE IS REQUIRED. THUS WE'LL NEED 3.33 GALLONS OF 100% ANTIFREEZE. 16.67*.4+3.33=10 6.67+3.33=10 10=10
 Proportions/89413: tickets at a local movie were sold at \$6.00 for adults and \$4.50 for students. if 264 tickets were sold for a total of \$1563.00, how many adults tickets were sold ?1 solutions Answer 65008 by checkley75(3666)   on 2007-07-21 18:39:50 (Show Source): You can put this solution on YOUR website!A+S=264 OR S=264-A 6A+4.5S=1563. NOW SUBSTITUTE (264-A) FOR S IN THIS EQUATION & SOLVE FOR A: 6A+4.5(264-A)=1563 6A+1188-4.5A=1563 1.5A=1563-1188 1.5A=375 A=375/1.5 A=250 NUMBER OF ADULT TICKETS SOLD. 264-250=14 NUMBER OF STUDENT TICKETS SOLD. PROOF 6*250+4.5*14=1563 1500+63=1563 1563=1563
 Proportions/89414: maria purchased 12 pens and 8 notebooks for \$15.00. bob bought 4 pens and 3 notebooks for \$5.50. find the price of one pen and the price of one notebook ,agebraically.1 solutions Answer 65007 by checkley75(3666)   on 2007-07-21 18:31:39 (Show Source): You can put this solution on YOUR website!12P+8N=15.00 4P+3N=5.50 NOW MULTIPLY THE SECOND EQUATION BY -3 & ADD: -12P-9N=-16.50 12P+8N=15.00 ----------------------------- -N=-1.50 N=1.50 PRICE OF THE NOTEBOOK. 12P+8*1.50=15.00 12P+12.00=1500 12P=15.00-12.00 12P=3.00 P=3.00/12 P=.25 COST OF THE PEN. PROOF 4*.25+3*1.50=5.50 1.00+4.50=5.50 5.50=5.50
 Linear-equations/89286: HOW DO YOU GRAPH 2y-y=4 2y-y=6 and x-2y=8 3x-2y=121 solutions Answer 64991 by checkley75(3666)   on 2007-07-21 14:25:29 (Show Source): You can put this solution on YOUR website!2y-y=4 or y=4 (red line) 2y-y=6 or y=6 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 4 and y = 6). --------------------------------------------------------------------- x-2y=8 or -2y=-x+8 or y=-x/-2+8/-2 or y=x/2-4 (red line) 3x-2y=12 or -2y=-3x+12 or y=-3x/-2+12/-2 or y=3x/2-6 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -4 and y = 3x/2 -6).
 Quadratic_Equations/89280: Find the x-intercepts. y = x^2 – 3x – 1 1 solutions Answer 64990 by checkley75(3666)   on 2007-07-21 14:15:11 (Show Source): You can put this solution on YOUR website!Y=X^2-3X-1 0=X^2-3X-1 USING THE QUADRATIC EQUATION: WE GET: X=(3+-SQRT{-3^2-4*1*-1])/2*1 X=(3+-SQRT9+4])/2 X=(3+-SQRT13)/2 X=(3+-3.6)/2 X=(3+3.6)/2 X=6.6/2 X=3.3 ANSWER. X=(3-3.6)/2 X=-.6/2 X=-.3 ANSWER. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -3x -1).
 Rational-functions/89384: divide 35q^9/9q^5 ÷ 25q^6/10q^5 a. 18/175q b. 175q^4/18 c. 9q^6/14 d. 14q^2/91 solutions Answer 64989 by checkley75(3666)   on 2007-07-21 14:03:44 (Show Source): You can put this solution on YOUR website!(35Q^9/9Q^5)/(25Q^6/10Q^5) TAKING THESE TERMS SEPARATELY WE HAVE: 35Q^9/9Q^5=35Q^4/9 & 25Q^6/10Q^5=5Q/2 NOW WE INVERT THE SECOND TERM & MULTIPLY. (35Q^4/9)(2/5Q)=(7Q^3*2)/9=14Q^3/9 ANSWER.
 Coordinate-system/89401: Graph the equation y = 2(x - 1)2. 1 solutions Answer 64986 by checkley75(3666)   on 2007-07-21 13:55:40 (Show Source): You can put this solution on YOUR website!Y=2(X-1)^2 I AM ASSUMING THIS (X-1) IS A 2 POWER TERM?????? Y=2(X^2-2X+1) Y=2X^2-4X+2. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x^2 -4x +2).
 Coordinate-system/89403: Find the value of x in the domain of f(x) = -2x - 3 for which f(x) = 3. 1 solutions Answer 64984 by checkley75(3666)   on 2007-07-21 13:50:15 (Show Source): You can put this solution on YOUR website!F(X)=-2X-3 F(3)=-2*3-3 F(3)=-6-3 F(3)=-9 ANSWER.
 Expressions-with-variables/89404: solve the system of equation by substitution 4x - 6y = 9 5x -6y =11 solutions Answer 64983 by checkley75(3666)   on 2007-07-21 13:47:48 (Show Source): You can put this solution on YOUR website!MULTIPLY EITHER EQUATION BY -1 & ADD. -4X+6Y=-9 5X-6Y=1 --------------------------------- X=-8 ANSWER. NOW SUBSTITUTE -8 FOR X 7 SOLVE FOR Y 5*-8-6Y=1 -40-6Y=1 -6Y=41 Y=41/-6 Y=-41/6 ANSWER.
 Linear-equations/89398: y= 3 - 5/4x graph this equation.what is the slope and y-intercept of the line? then find the corresponding value of y when x = 16 by using the answer y= 3- 5/4x. lost in translation? help would be soooooooooooo grateful1 solutions Answer 64981 by checkley75(3666)   on 2007-07-21 13:35:20 (Show Source): You can put this solution on YOUR website!Y=3-5/(4*16) Y=3-5/64 Y=(3*64-5)/64 Y=(192-5)/64 Y=187/64 Y=2.921875 ANSWER. GRAPH FOLLOWS: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -5/4x -3). OR: Y=3-(5/4)16 Y=3-5*16/4 Y=3-5*4 Y=3-20 Y=-17
 Polynomials-and-rational-expressions/89341: This question is from textbook Intermediate Algebra Rational Expression x=x/2 - 4 1 solutions Answer 64910 by checkley75(3666)   on 2007-07-20 20:35:52 (Show Source): You can put this solution on YOUR website!X=X/2-4 X-X/2=-4 X/2=-4 NOW CROSS MULTIPLY. X=-8 ANSWER.
 Polynomials-and-rational-expressions/89318: 16x^2=9 solve for x1 solutions Answer 64908 by checkley75(3666)   on 2007-07-20 20:33:02 (Show Source): You can put this solution on YOUR website!16^2=9 16^2-9=0 (4X-3)(4X+3)=0 4X-3=0 4X=3 X=3/4 ANSWER. 4X+3=0 4X=-3 X=-3/4 ANSWER.
 Quadratic_Equations/89290: Solve (x-5)^2=7 thanks1 solutions Answer 64906 by checkley75(3666)   on 2007-07-20 20:27:51 (Show Source): You can put this solution on YOUR website!(X-5)^2=7 X^2-10X+25=7 X^2-10X+25-7=0 X^2-10X+18=0 USING THE QUADRATIC EQUATION: X=(10+-SQRT[-10^2-4*1*18])/2*1 X=(10+-SQRT[100-72])/2 X=(10+-SQRT28)/2 X=(10+-5.29)/2 X=(10+5.29)/2 X=15.29/2 X=7.6458 ANSWER. X=(10-5.29)/2 X=4.71/2 X=2.35 ANSWER. ;
 Numbers_Word_Problems/89346: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.33. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?1 solutions Answer 64904 by checkley75(3666)   on 2007-07-20 20:09:36 (Show Source): You can put this solution on YOUR website!.07W+13.33 .07*375+13.33=26.25+13.33=39.58 COST TO MAKE 375 WING NUTS. 39.58/375=.1055 OR \$.11 PER WING NUT.
 Quadratic_Equations/89143: suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50. set up an equation for the perimeter involving L, the length of the rectangle. then solve algebraically. 1 solutions Answer 64862 by checkley75(3666)   on 2007-07-20 11:05:50 (Show Source): You can put this solution on YOUR website!W=L-5 2(L-5)+2L=50 2L-10+2L=50 4L=50+10 4L=60 L=60/4 L=15 ANSWER FOR THE LENGTH. W=15-5 W-10 ANSWER FOR THE WIDTH. PROOF 2*15+2*10=50 30+20=50 50=50
 Quadratic_Equations/89267: Simplify. m^2/9 (divided by) m^4/181 solutions Answer 64861 by checkley75(3666)   on 2007-07-20 11:01:46 (Show Source): You can put this solution on YOUR website!(M^2/9)/(M^4/18) (M^2/9)/(M^2/9)=M^1=M ANSWER.
 Quadratic_Equations/89259: Divide. x^2-3x-18/x-61 solutions Answer 64860 by checkley75(3666)   on 2007-07-20 10:59:26 (Show Source): You can put this solution on YOUR website!(X^2-3X-18)/(X-6) (X-6)(X+3)/(X-6) NOW CANCEL OUT THE (X-6) TERMS. (X+3) ANSWER.
 Quadratic_Equations/89263: Factor. 8m^4n – 16mn^4 1 solutions Answer 64858 by checkley75(3666)   on 2007-07-20 10:57:13 (Show Source): You can put this solution on YOUR website!8M^4N-16MN^4=8MN(M^3-2N^3)
 Quadratic_Equations/89264: Solve. x^2 = –6x1 solutions Answer 64857 by checkley75(3666)   on 2007-07-20 10:54:40 (Show Source): You can put this solution on YOUR website!X^2=-6X X^2+6X=0 X(X+6)=0 X=0 ANSWER. X+6=0 X=-6 ANSWER.