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Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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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 lenght 1 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/18 1 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+0.46 1 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-4 1 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 thanks 1 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 thanks 1 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. Connie 1 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.

Linear_Equations_And_Systems_Word_Problems/95705: Hi need some help with this problem: Congratulations! You are the proud owner of a new home, and today is moving day! Suppose the movers you have hired to help you have just left and will meet you at your new house to unload your belongings. The new house is 86 miles away. The movers left 12 minutes ago and are traveling at 50 miles per hour. (Hint: Change 12 minutes to its hour equivalent). You are leaving your house now and plan to drive 65 miles per hour. You want to reach the new house before the movers arrive, which means that you will pass them on the road. a) Complete the table below. Distance (miles) Rate (mph) Time (in hours) You d t Movers d t+0.2 b) Create a system of equations. One equation will show your distance at any given time t. The other equation will show the distance of the movers at any given time t. c) How much time will it take you to catch up with the movers? How did you arrive at your answer? d) How many miles will you have traveled when you catch up to the movers? Explain how you reached your answer. 1 solutions Answer 69725 by checkley71(8403)   on 2007-09-02 17:51:34 (Show Source): You can put this solution on YOUR website! 50t=65(t-.2) 50t=65t-13 65t-50t=13 15t=13 t=13/15 t=.87 hours or 52 minutes you'll overtake the movers. the distance traveled is: 50*.87=43.5 miles the truckers will have traveled. 65(.87-.2)=65*.67=43.5 miles you will have traveled.

Equations/95609: Need the area of this right trapezoid: 4z + y -2 3 - x 5z +12 4 + y +2 HELP THANKS 1 solutions Answer 69724 by checkley71(8403)   on 2007-09-02 17:27:23 (Show Source): You can put this solution on YOUR website! TO SOLVE THIS PROBLEM I NEED TO KNOW WHICH MEASUREMENT IS THE HEIGHT OF THE RIGHT TRAPEZOID!

Polynomials-and-rational-expressions/95618: Science and medicine. Fungicides account for of the pesticides used in the United States. Insecticides account for of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written / Not really sure how to solve this problem could someone please help me? 1 solutions Answer 69723 by checkley71(8403)   on 2007-09-02 17:22:56 (Show Source): You can put this solution on YOUR website! (1/10)/(1/4) THE FRACTION IN THE DENOMINATOR MUST BE INVERTED & THEN YOU MULTIPLY THE TWO FRACTIONS THUS: (1/10)(4/1)=4/10=2/5=.4 ANSWER.

Average/95704: To qualify for the semi-finals in a bowling tournament, a bowler must have at least a 160 average for five games. Suppose the scores for your first four games were 172, 150, 148, and 162. What is the lowest score you can bowl in the fifth game and still qualify for the semifinals? 1 solutions Answer 69722 by checkley71(8403)   on 2007-09-02 17:19:14 (Show Source): You can put this solution on YOUR website! (172+150+148+162+X)/5=160 (632+X)/5=160 NOW CROSS MULTIPLY 632+X=800 X=800-632 X=168 IS THE MINBIMUM SCORE FOR THE LAST GAME TO HAVE AN AVERAGE OF AT LEAST 160.

Geometric_formulas/95703: This question is from textbook Geometry #32) The lengths of the sides of three squares are s, s+1, s+2. If their total area is 365cm^2, find their total perimeter. 1 solutions Answer 69721 by checkley71(8403)   on 2007-09-02 17:15:31 (Show Source): You can put this solution on YOUR website! S^2+(S+1)^2+(S+2)^2=365 S^2+S^2+2S+1+S^2+4S+4=365 3S^2+6S+5-365=0 3S^2+6S-360=0 3(S^2+2S-120=0 (S-10)(S+12)=0 S-10=0 S=10 FOR THE SIDE OF THE SMALLER SQUARE S=11 & S=12 FOR THE OTHER 2 SQUARES PERIMETERS=4*10+4*11+4*12=40+44+48=132CM.

Rational-functions/95574: A. Graph the function f(x) = –3x + 7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation. B. Graph the function f(x) = –3x2 + x – 5. Be sure to properly label the graph, which includes labeling the axes and the graph with its equation. 1 solutions Answer 69720 by checkley71(8403)   on 2007-09-02 17:08:09 (Show Source): You can put this solution on YOUR website! Y=-3X+7 (RED LINE) Y=-3X^2+X-5 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -3x +7 and y = -3x^2 +x -5).

test/95279: Kyle's lock combination consists of 3 two-digit numbers. The combination satisfies the three conditions below. -One number is odd. -One number is a multiple of 5. -One numbers is the day of the month of Kyle's birthday. If each number satisifes exactly one of the conditions, which of the following could be the combination to the lock? (A) 14-20-13 (B) 14-25-13 (C) 15-18-16 (D) 20-15-20 (E) 34-30-21 1 solutions Answer 69717 by checkley71(8403)   on 2007-09-02 17:00:06 (Show Source): You can put this solution on YOUR website! IF THE CONDITIONS ARE EXCLUSIVE THEN: A & B

Money_Word_Problems/95621: Adult tickets for a play cost $20 and child tickets cost $13. If there were 29 people at a performance and the theater collected $510 from ticket sales, how many children attended the play? 1 solutions Answer 69716 by checkley71(8403)   on 2007-09-02 16:52:39 (Show Source): You can put this solution on YOUR website! A+C=29 A=29-C 20A+13C=510 NOW SUBSTITUTE (29-C) FOR A IN THIS EQUATION 7 SOLVE FOR C 20(29-C)+13C=510 580-20C+13C=510 -7C=510-580 -7C=-70 C=-70/-7 C=10 CHILDREN TICKETS SOLD. 29-10=19 ADULT TICKETS SOLD. PROOF 20*19=10*13=510 280+130=510 510=510

Polynomials-and-rational-expressions/95622: I have a question. I am supposed to find the GCF of each product. (6y^2 - 3y) (y + 7) I got 3y (3y + 7) when I worked it out but I am not showing a GCF could you please help me with this problem? Thanks 1 solutions Answer 69715 by checkley71(8403)   on 2007-09-02 16:47:10 (Show Source): You can put this solution on YOUR website! 6Y^2-3Y Y+7 NOW MULTIPLY --------------------------------------- 6Y^3-3Y^2+42Y^2-21Y 6Y^3+39Y^2-21Y NOW FIND THE COMMON FACTOR WHICH IS 3Y: 3Y(Y^2+13Y-7)

Quadratic_Equations/95602: 1/2+4m=3m-5/2 1 solutions Answer 69714 by checkley71(8403)   on 2007-09-02 16:42:41 (Show Source): You can put this solution on YOUR website! 1/2+4M=3M-5/2 4M-3M=-5/2-1/2 M=-6/2 M=-3 ANSWER. PROOF .5+4*-3=3*-3-2.5 .5-12=-9-2.5 -11.5=-11.5

Equations/95695: Can someone please help me. Recipe calls for 1/4 teaspoon vanilla. A second recipe calls for 1/2tsp. vanilla and a third recipe calls for 1/8 tsp. vanilla. How much vanilla is needed in total. 1 solutions Answer 69712 by checkley71(8403)   on 2007-09-02 16:38:03 (Show Source): You can put this solution on YOUR website! 1/4+1/2+1/8 THERE ARE 2 DIFFERENT WAYS TO SOLVE THIS PROBLEM: CONVERT ALL THESE FRACTIONS TO DECIMAL & ADD. .5+.25+.125=.875 ANSWER. OR WE CAN FIND A COMMON DENOMINATOR AND ADD. 1/4=2/8 1/2=4/8 1/8=1/8 NOW WE CAN ADD THEM ALL. (2+4+1)/8=7/8 ANSWER. IT SOMETIMES DEPENDS ON THE FORM OF THE ANSWER AS TO WHICH TECHNIQUE YOU USE. HOWEVER THE ANSWERS ARE THE SAME: 7/8=.875

Equations/95694: Please help. Subtract 4 1/3-1 1/4 1 solutions Answer 69711 by checkley71(8403)   on 2007-09-02 16:33:21 (Show Source): You can put this solution on YOUR website! 1 1/3-1 1/4 HERE WE NEED TO CHANCE THESE MIXED FRACTION TO IMPROPER FRACTIONS THUS: 4/3-5/4 NOW WE NEED TO FIND A COMMON DENOMINATOR. 3*4=12 WILL DO. 4/3=(4*4)/12=16/12) 5/4=(5*3)/12=15/12 NOW WE CAN SUBTRACT THEM. (16-15)/12=1/12 IS THE ANSWER.

Rectangles/95692: A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter. [Perimeter = 2* width + 2*length] 1 solutions Answer 69710 by checkley71(8403)   on 2007-09-02 16:28:01 (Show Source): You can put this solution on YOUR website! SO MULTIPLY EACH SIDE BY 2 & ADD: 2(3X-4)+2(7X+10)=6X-8+14X+20=20X+12=4(5X+3) IS THE PERIMETER.

Parallelograms/95687: OK. I am given a parallelogram on a graph with no points and I am asked to find the perimeter of this parallelogram. How do I find the perimeter of this graphed parallelogram? 1 solutions Answer 69709 by checkley71(8403)   on 2007-09-02 16:25:32 (Show Source): You can put this solution on YOUR website! FIRST YOU NEED TO IDENTIFY ALL THE CORNER POINTS. THEN FIND THE DISTANCE BETWEEN THEM USING THE PYTHAGOREON THEORUM (A^2+B^2=C^2) AS EACH SET OF POINTS FORM A RIGHT TRIANGLE. THE DISTANCE IS THE HYPOTENUSE OF THESE TRIANGLES (C). ONCE YOU'VE FOUND THE LENGTH OF THE TWO PARALLEL SIDES JUST ADD THEM FOR THE PERIMETER.