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# Recent problems solved by 'checkley71'

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 Polynomials-and-rational-expressions/95829: c2-64 1 solutions Answer 69818 by checkley71(8403)   on 2007-09-03 16:41:26 (Show Source): You can put this solution on YOUR website!C^2-64 (C+8)(C-8)
 Money_Word_Problems/95833: John invested a part of \$50000 at the bank which has 4 1/2% interest rate and the other part at the bank which has 5 1/2% The former yields \$ 750 more each year than the latter. How much did he invest at ezch bank with different interest rate?1 solutions Answer 69817 by checkley71(8403)   on 2007-09-03 16:39:27 (Show Source): You can put this solution on YOUR website!.045X=.055(50000-X)+750 .045=2750-.055X+750 .045X+.055X=2750+750 .1X=3500 X=3500/.1 X=35000 AMOUNT INVESTED @ 4.5%. 50000-35000=15000 INVESTED @ 5.5% PROOF .045*35000=.055*15000+750 1575=825+750 1575=1575
 Geometric_formulas/95850: A square has diagonals of length 8 cm. Find the length of its sides.1 solutions Answer 69815 by checkley71(8403)   on 2007-09-03 16:30:43 (Show Source): You can put this solution on YOUR website!THE DIAGONAL OF A SQUARE=8 THUS YOU HAVE A RIGHT TRIANGLE WITH 2 EQUAL SIDES & A HYPOTENUSE OF 8 X^2+X^2=8^2 2X^2=64 X^2=32 X=SQRT32 X=5.658542 CM. LENGTH OF THE SIDES. PROOF 5.658542^2+5.658542^2=8*2 32+32=64 64=64
 Miscellaneous_Word_Problems/95840: The perimeter of a rectangle is 56cm. The width is 6cm less than the lenght. Find the width and the lenght1 solutions Answer 69813 by checkley71(8403)   on 2007-09-03 16:21:45 (Show Source): You can put this solution on YOUR website!2L+2W=56 2L+2(L-6)=56 2L+2L-12=56 4L=56+12 4L=68 L=68/4 L=17 ANSWER FOR THE LENGTH. W=17-6 W=11 ANSWER FOIR THE WIDTH. PROOF 2*17=2*11=56 34+22=56 56=56
 Polynomials-and-rational-expressions/95843: Solve the equation. x/2 + 8x/9 = x/181 solutions Answer 69812 by checkley71(8403)   on 2007-09-03 16:17:24 (Show Source): You can put this solution on YOUR website!X/2+8X/9=X/18 X/2+8X/9-X/18=0 NOW FIND A COMMON DENOMINATOR (THAT 18,9 & 2 WILL DIVIDE EVENLY INTO) SO YOU CAN COMBINE THESE TERMS. 18 LOOKS LIKE A GOOD CHOICE AS 18/18=1 18/9=2 & 18/2=9. ----------------------------------- x/2=9x/18 8x/9=16x/18 x/18=x/18 Now you can add them. 9x/18+16x/18-x/18=0 (9x+16x-x)/18=0 24x/18=0 Now reduce. 4x/3=0 Cross multiply. 4x=0 x=0 answer.
 Linear_Equations_And_Systems_Word_Problems/95731: The perimeter of a rectangle is 154 inches. The length exceeds the width by 39 inches. Find the length and width.1 solutions Answer 69754 by checkley71(8403)   on 2007-09-02 22:07:39 (Show Source): You can put this solution on YOUR website!L=W+39 2L+2W=154 2(W+39)+2W=154 2W+78+2W=154 4W=154-78 4W=76 W=76/4 W=19 FOR THE WIDTH L=19+39=58 FOR THE LENGTH PROOF 2*58+2*19 116+38=154 154=154
 Linear_Equations_And_Systems_Word_Problems/95734: What is the solution of the system of equations? 4x + y =14 5x + y = -11 is it consistant or inconsistent? is it independent or dependent?1 solutions Answer 69753 by checkley71(8403)   on 2007-09-02 22:04:17 (Show Source): You can put this solution on YOUR website!4x+y=14 now now multiply the second equation by -1 & add. -5x-y=11) -------------------- -x=25 x=-25 answer. 4*-25+y=14 -100+y=14 y=14+100 y=114 answer.
 test/95735: Write 2.85 as a percent? An appliance dealer marks up refrigerators 20% ( based on cost). If the cost of one model is \$500, what should it's selling price be?1 solutions Answer 69751 by checkley71(8403)   on 2007-09-02 21:59:29 (Show Source): You can put this solution on YOUR website!to change a number to % just move the decimal 2 places to the right. 2.85=285% ----------------------------------------------------- 500*1.20=\$600 is the marked up or selling price.
 Equations/95709: 0.96y-0.79=0.21y+0.461 solutions Answer 69742 by checkley71(8403)   on 2007-09-02 20:13:16 (Show Source): You can put this solution on YOUR website!.96Y-.79=.21Y+.46 .96Y-.21Y=.46+.79 .75Y=1.25 Y=1.25/.75 Y=1.67 ANSWER. --------------------------------------------------- proof .96*1.67-.79=.21*1.67+.46 1.60-.79=.35+.46 .81=.81
 Polynomials-and-rational-expressions/95720: Determine the solutions for the following polynomial. 32x^6 - 32x^5 = 0 1 solutions Answer 69741 by checkley71(8403)   on 2007-09-02 20:08:38 (Show Source): You can put this solution on YOUR website!32X^6-32X^5=0 32X^5(X-1)=0 32X^5=0 X=0 ANSWER. X-1=0 X=1 ANSWER
 Polynomials-and-rational-expressions/95721: Determine the solutions for the following polynomial equation. Use decimal approximations accurate to two decimal places if necessary. 3x^2 - 19x - 7 = 0 1 solutions Answer 69739 by checkley71(8403)   on 2007-09-02 20:06:58 (Show Source): You can put this solution on YOUR website!3X^2-19X-7=0 USING THE QUADRATIC EQUATION WE GET: X=(19+-SQRT[-19^2-4*3*-7])/2*3 X=(19+-SQRT[361+84])/6 X=(19+-SQRT[445])/6 X=(19+-21.1)/6 X=(19+21.1)/6 X=40.1/6 X=6.68 ANSWER. X=(19-21.1)/6 X=-2.1/6 X=-.35 ANSWER.
 Exponents-negative-and-fractional/95719: what is the factor of 16m-28n? what is the factor of 63v - 7w + 28?1 solutions Answer 69738 by checkley71(8403)   on 2007-09-02 20:00:25 (Show Source): You can put this solution on YOUR website!16M-28N=4(4M-7N) 4 IS THE ONLY FACTOR. 63V-7W+28=7(9V-W+4) 7 IS THE ONLY FACTOR.
 Inverses/95715: what is the reciprocal of 9/8? what is the reciprocal of -2.45? what is the reciprocal of 3 1/5? what is the reciprocal of 7/2m?1 solutions Answer 69737 by checkley71(8403)   on 2007-09-02 19:20:11 (Show Source): You can put this solution on YOUR website!RECIPRICAL OF 8/9=9/8 -2.45=1/-2.45 3 1/5=16/5=5/16 7/2M=2M/7
 Rational-functions/95684: f(x)=7x-41 solutions Answer 69735 by checkley71(8403)   on 2007-09-02 18:51:37 (Show Source): You can put this solution on YOUR website!Y=7X-4 IF THIS IS A LINE EQUATION THEN: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 7x -4).
 Equations/95710: 0.42-0.03y=3.33-y also can you show me how to check please and thanks1 solutions Answer 69734 by checkley71(8403)   on 2007-09-02 18:49:30 (Show Source): You can put this solution on YOUR website!.42-.03Y=3.33Y -.03Y-3.33Y=-.42 -3.36Y=-.42 Y=-.42/-3.36 Y=.125 ANSWER. PROOF .42-.03*.125=3.33*.125 .42-.00375=3.33*.125 .41625=.41625
 Equations/95711: ..17n-15+n=2n-8-0.4n can u please show me how to check it please and thanks1 solutions Answer 69733 by checkley71(8403)   on 2007-09-02 18:43:17 (Show Source): You can put this solution on YOUR website!A MUCH EASIER PROBLEM TO SOLVE AS YOU CAN SEE!!!! .7N-15+N=2N-8-.4N .7N+N-2N+.4N=15-8 .1N=7 N=7/.1 N=70 ANSWER. PROOF .7*70-15+70=2*70-8-.4*70 49-15+70=140-8-28 104=104
 Miscellaneous_Word_Problems/95706: This question is from textbook A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be? Thanks so much for your help! I'm pulling my hair out. Connie1 solutions Answer 69730 by checkley71(8403)   on 2007-09-02 18:24:51 (Show Source): You can put this solution on YOUR website!START BY DRAWING A SKETCH OF THE 6 BY 10 PLOT. NOW DRAW A SMALL BORDER AROUND IT & LABEL THE WIDTH X. THE AREA TO BE FILLED IN IS: (6+2X)+(10+2X)-6*10 60+20X+12X+4X^2-60 4X^2+32X IS THE AREA TO BE CEMENTED TO A DEPTH OF 3 INCHES WHICH IS 3/12 FEET OR .25 FEET. THE AMOUNT OF CEMENT IN FEET IS 38383=27 CUBIC FEET. NEW WE SOLVE FOR THE VALUE OF X: (4X^2+32X)*.25=27 X^2+8X-27=0 USING THE QUADRATIC EQUATION WE GET: X=(-8+-SQRT[8^8-4*1*-27])/281 X=(-8=-SQRT(64*108])/2 X=(-8+-SQRT172)/2 X=(-8+-13.11)/2 X=(-8+13.11)/2 X=5.11/2 X=2.56 FEET IS THE WIDTH OF THE BORDER NEEDED FOR THE 27 CUBIC FEET OF CEMENT. FILL IN THESE MEASUREMENTS IN YOUR DIAGRAM AND VERIFY THE ANSWERS OR 2.56 FEET FOR THE WIDTH & .25 FEET FOR THE DEPTH.