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checkley71 answered: 8399 problems
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Geometric_formulas/114642: This question is from textbook discovering geometry goldi's pizza place is known throughout the city. the small pizza has a 6-inch radius and sells for $9.75. the medium pizza sells for $12.00 and has an 8-inch radius. the large pizza has a 20-inch radius and sells for $16.50. what size has the most pizza edge per dollar?. and what is the circumfrence of that pizza? 1 solutions Answer 83412 by checkley71(8403)   on 2007-12-04 20:40:43 (Show Source): You can put this solution on YOUR website! C6=2*3.14*6=37.68 CIRCUMFRANCE OR 37.65/9.75=3.86 PER INCH. C8=2*3.14*8=50.24 CIRCUMFRANCE OR 50.24/12=4.19 PER INCH. C20=2*3.14*20=125.6 CIRCUMFRANCE OR 125.6/16.5=7.61 PER INCH.

Miscellaneous_Word_Problems/114613: This question is from textbook Algebra Structure and Method An 18kg mass is placed at one end of a steel bar that is 1m long. A 35kg mass is placed at the other end. Where should the fulcrum be placed to balance the bar? If anyone can help me solve this problem I would appreciate it!!! Please and Thank You!!! 1 solutions Answer 83408 by checkley71(8403)   on 2007-12-04 20:27:38 (Show Source): You can put this solution on YOUR website! 35X=18(1-X) 35X=18-18X 35X+18X=18 53X=18 X=18/53 .34 METERS FROM THE 35 KG MASS IS THE FULCRUM. PROOF .35*.34=18(1-.34) .119=18*.66 .119=.119

Polynomials-and-rational-expressions/114614: How do I factor 8r cubed - 64s cubed 1 solutions Answer 83401 by checkley71(8403)   on 2007-12-04 20:18:04 (Show Source): You can put this solution on YOUR website! 8R^3-64S^3 EXTRACT 8. 8(R^3-8S^3) NOW YOU HAVE 2 DIFFERENT CUBES. 8[(R)^3-(2S)^3] 8[(R-2S)(R^2+2RS+4S^2)] ANSWER. PROOF: R^2+2RS+4S^2 R-2S --------------------------- R^3+2R^2S+4RS^2-2R^2S-4RS^2-8S^3 (R^3-8S^3) NOW MULTIPLY THIS EQUATION BY 8: 8(R^3-8S^3) 8R^3-64S^3

real-numbers/114601: Im trying to help my son, but I cant figure it out. Please Help. Find two consecutive intergers so that the sum of the first and 3/4 of the second is 6. 1 solutions Answer 83396 by checkley71(8403)   on 2007-12-04 19:51:19 (Show Source): You can put this solution on YOUR website! LET X & (X+1) BE THE 2 CONSECUTIVE NUMBERS. X+.75(X+1)=6 X+.75X+.75=6 1.75X=6-.75 1.75X=5.25 X=5.25/1.75 X=3 THE FIRST INTEGER. 3+1=4 FOR THE OTHER INTEGER. PROOF 3+.75*4=6 3+3=6 6=6

Equations/114594: Solve the porportion 12. 42/10 = 21/y Any help with this equation would be Greatly appreciated. 1 solutions Answer 83395 by checkley71(8403)   on 2007-12-04 19:45:39 (Show Source): You can put this solution on YOUR website! 42/10=21/Y CROSS MULTIPLY 42Y=210 Y=210/42 Y=5 ANSWER.

Linear-systems/114633: How much of an alloy that is 10% copper should be mixed with 300 ounces of an alloy that is 90% copper in order to get an alloy that is 50% copper? ___ ounces 1 solutions Answer 83393 by checkley71(8403)   on 2007-12-04 19:41:00 (Show Source): You can put this solution on YOUR website! .1X+.90*300=.5(300+X) .1X+270=150+.5X .1X-.5X=150-270 -.4X=-120 X=-120/-.4 X=300 OUNCES OF 10% COPPER IS REQUIRED. PROOF: .10*300+.9*300=.5*600 30+270=300 300=300

Functions/114619: A store owner bought n dozen toy boats at a cost of $3.00 per dozen, and sold them at $.75 apiece. Express the profit as a function of n. Could you please help me show the steps in this problem? I'm not sure of how to start it, let alone solve it. Thank you. 1 solutions Answer 83388 by checkley71(8403)   on 2007-12-04 19:34:17 (Show Source): You can put this solution on YOUR website! THE PROFIT FOR ONE BOAT IS: .75-3/12=.75-.25=.50 SO IF HE BUYS N DOZEN THEN HIS PROFIT IS: P=.50*12*N OR: N=P/6

Number-Line/114622: why is a negative number times a negative number equal to a positive number? 1 solutions Answer 83384 by checkley71(8403)   on 2007-12-04 19:09:32 (Show Source): You can put this solution on YOUR website! THERE HAS TO BE BASIC RULES FOR ANY SYSTEM TO WORK THE SAME ALL THE TIME. ONE OF THESE RULES ASSOCIATED WITH MATH IS: (+*+)=+, (+*-)=-, (-*+)=- & (-*-)=+ OR SIMPLY PUT; LIKE SIGNS WHEN MULTIPLIED OR DIVIDED RESULT IN A + ANSWER. UNLIKE SIGNS WHEN MULTIPLIED OR DIVIDED RESULT IN A - ANSWER. IT HAS BEEN A WHILE SINCE I HAVE HAD TO DEAL WITH THIS QUESTION (60 YEARS) & IF THERE IS A PROOF -- I HAVE FORGOTTEN IT.

Miscellaneous_Word_Problems/114615: One of the fastest supercomputers in the world is NEC's Earth Simulator, which operates at a top-end of 40 teraflops (forty trillion operations per second or 4.0 x 10^13). How long would it take this computer to perform 250 million calculations? Express answer in standard notation. I know the answer is a fraction of a second, but can't come up with the formula. Can someone advise please? Thank you! 1 solutions Answer 83381 by checkley71(8403)   on 2007-12-04 18:58:31 (Show Source): You can put this solution on YOUR website! 250*10^6/40*10^13 2.5*10^8/4.0*10^14 2.5/4*1/10^(-6) .625*10^(-6) OR: .000000625 SECONDS TO PERFORM 250,000,000 OPERATIONS.

Linear-systems/114608: Solve the system by addition. 3x – y = 1 3x – y = 2 1 solutions Answer 83378 by checkley71(8403)   on 2007-12-04 18:38:34 (Show Source): You can put this solution on YOUR website! 3X-Y=1 NOW MULTIPLY THE OTHER EQUATION BY -1 & ADD. -(3X-Y=2) -------------------------------------- 0X+0Y=-1 0=-1 NO SOLUTION BY ADDITION. --------------------------------------

Mixture_Word_Problems/114510: The length of a piece of sheet metal is twice the width. The difference in length and width is 20 in. What are the dimensions? 1 solutions Answer 83377 by checkley71(8403)   on 2007-12-04 18:25:45 (Show Source): You can put this solution on YOUR website! L=2W L-W=20 2W-W=20 W=20 FOR THE WIDTH. L=2*20 L=40 FOR THE LENGTH.

Graphs/114513: Graph f(x)=(x+2)^ This is the questions I have and a graph below to show how it would be graphed. 1 solutions Answer 83374 by checkley71(8403)   on 2007-12-04 17:48:04 (Show Source): You can put this solution on YOUR website! f(x)=(x+2)^2 F(X)=X^2+4X+4 TO GRAPH USING THE ALGEBRA.COM PROGRAM I NEED TO USE: y=x^2+4x+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 +4x +4).

Quadratic_Equations/114521: f(x)=-x^+4x-3 Graph y=f(x) Show x-and y-intercepts and vertex on the graph I actually thought y was f(x) from how it was explained in class, where am I off on this? 1 solutions Answer 83373 by checkley71(8403)   on 2007-12-04 17:46:00 (Show Source): You can put this solution on YOUR website! f(x)=-x^2+4x-3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x^2 +4x -3). X intercepts=(1,0) & (3,0) Y intercept=(0,-3) Vertex=(2,1)

Quadratic_Equations/114600: x^=-11 1 solutions Answer 83372 by checkley71(8403)   on 2007-12-04 17:42:46 (Show Source): You can put this solution on YOUR website! BELIEVE YOU ARE MISSING SOME INFORMATION FOR THIS PROBLEM TO BE SOLVED.

Equations/114598: Solve the porportion 16. 40/m = 32/16 Any help with this equation would be Greatly appreciated. 1 solutions Answer 83371 by checkley71(8403)   on 2007-12-04 17:41:17 (Show Source): You can put this solution on YOUR website! 16) 40/M=32/16 CROSS MULTIPLY 32M=40*16 32M=640 M=640/32 M=20 ANSWER.

Equations/114596: Solve the porportion 14.d/6 = 65/26 Any help with this equation would be Greatly appreciated. 1 solutions Answer 83370 by checkley71(8403)   on 2007-12-04 17:37:46 (Show Source): You can put this solution on YOUR website! D/6=65/26 CROSSS MULTIPLY 26D=6*65 26D=390 D=390/26 D=15 ANSWER. PROOF: 15/6=65/26 15*26=6*65 390=390

Expressions-with-variables/114593: i have this problem: m+6.5=9=-9m-130) How do I Solve it? 1 solutions Answer 83369 by checkley71(8403)   on 2007-12-04 17:34:10 (Show Source): You can put this solution on YOUR website! M+6.5=-9M-130 M+9M=-130-6.5 10M=-136.5 M=-136.5/10 M=-13.65 ANSWER. PROOF: -13.65+6.5=-9*-13.65-130 -7.15=122.85-130 -7.15=-7.15

Polynomials-and-rational-expressions/114516: Find all positive values for k for which the following can be factored. x squared + x - k 1 solutions Answer 83367 by checkley71(8403)   on 2007-12-04 17:28:55 (Show Source): You can put this solution on YOUR website! X^2+X-K ANY K THAT HAS 2 FACTORS (X*Y) THAT MEET THE REQUIREMENTS OF (X-Y=1). ------------------------------ X^2+X-2 K=2 (X+2)(X-1) --------------------------------- X^2+X-6 K=6 (X+3)(X-2) ------------------------------ X^2+X-12 K=12 (X+4)(X-3) ------------------------------- X^2+X-20 K=20 (X+5)(X-4) ------------------------------ X^2+X-30 K=30 (X+6)(X-5) ----------------------------- X^2+X-42 K=42 (X+7)(X-6)

Travel_Word_Problems/114589: Sylva walked to Cathy's house at 2km/h, and then rode her bicycle back to her own house at 10km/h. The entire trip took 3 h. How long a time did Sylvia walk? 1 solutions Answer 83364 by checkley71(8403)   on 2007-12-04 17:18:01 (Show Source): You can put this solution on YOUR website! X/2+X/10=3 (5X+X)/10=3 6X/10=3 NOW CROSS MULTIPLY. 6X=30 X=30/6 X=5 MILES FOR THE ONE WAY TRIP. PROOF: 5/2+5/10=3 2.5+.5=3 3=3

Polynomials-and-rational-expressions/114517: Factor the polynomial completely. -3s squared - 10s + 8 1 solutions Answer 83363 by checkley71(8403)   on 2007-12-04 17:12:48 (Show Source): You can put this solution on YOUR website! -3S^2-10S+8 (-3S+2)(S+4) ANSWER.

Evaluation_Word_Problems/114574: the length of the second side of a trianglei s 2 inches less than the lenght of the first side. the length of the third side is 12 inches more than the length of the first side. the perimeter is 73 inches. find the lenth of each side of the triangle. 1 solutions Answer 83362 by checkley71(8403)   on 2007-12-04 17:06:13 (Show Source): You can put this solution on YOUR website! PERIMETER OF A TRIANGLE=SIDE1+SIDE2+SIDE3 LET X=THE FIRST SIDE. THE SECOND SIDE=X-2 THE THIRD SIDE=X+12 73=X+X-2+X+12 73=3X+10 3X=73-10 3X=63 X=63/3 X=21 FOR THE FIRST SIDE. 21-2=19 FOR THE SECOND. 21+12=33 FOR THE THIRD. PROOF: 21+19+33=73 73=73

Probability-and-statistics/114579: A fruit bowl has 7 apples and 4 oranges. If one piece of fruit is selected at random and then a second piece of fruit is selected ar random, what are the chances that both pieces of fruit will be apples (this is without replacement)? 1 solutions Answer 83359 by checkley71(8403)   on 2007-12-04 16:58:01 (Show Source): You can put this solution on YOUR website! 7/11*6/10=42/110=21/50=.42=42% CHANCE THAT BOTH WILL BE APPLES.

Systems-of-equations/114582: Write the standard form of the equation of the line that passes through the given points (-1, -2), (0, 3) 1 solutions Answer 83358 by checkley71(8403)   on 2007-12-04 16:54:43 (Show Source): You can put this solution on YOUR website! FIRST YOU NEED TO FIND THE SLOPE (m) (Y2-Y1)/(X2-X1) (3+2)/(0+1) 5/1=5 FOR THE SLOPE NOW REPLACE ONE SET THE X & Y VALUES IN THE LINE EQUATION & SOLVE FOR (b) THE Y INTERCEPT. Y=mX+b -2=5*-1+b -2=-5+b b=-2+5 b=3 FOR THE Y INTERCEPT THUS THE LINE EQUATION IS: Y=5X+3

Mixture_Word_Problems/114508: The perimeter of a rectangular window is 14 ft., and its length is 2 ft. less than twice the width. What are the dimensions of the window? 1 solutions Answer 83356 by checkley71(8403)   on 2007-12-04 16:46:38 (Show Source): You can put this solution on YOUR website! L=2W-2 P=2L+2W 14=2(2W-2)+2W 14=4W-4+2W 6W=14+4 6W=18 W=18/6 W=3 FEET IS THE WIDTH. L=2*3-2 L=6-2 L=4 FEET FOR THE LENGTH. 14=2*3+2*4 14=6+8 14=14

decimal-numbers/114576: This question is from textbook prentice hall mathmatics algebra i am confused as to what it means be "Write each expression as a decimal" with problems like 57) 10 to the negative 5th power 58) 10 to the negative 8th power 59) 4 times 10 to the negative first power 60) 6 times 10 to the negative 4th power please help me to figure out what this means! cody- 9th grade Lake Howell High School! 1 solutions Answer 83355 by checkley71(8403)   on 2007-12-04 16:38:21 (Show Source): You can put this solution on YOUR website! NEGATIVE EXPONENTS REQUIRE YOU TO MOVE THE DECIMAL POINT TO THE LEFT X PLACES. 10^-3 OR 1. WITH AN EXPONENT OF -3 EQUALS .001 10^-5=.00001 10^-8=.00000001 4*10^-1=.4 6*10^-4=.0006

Polynomials-and-rational-expressions/114573: having problem with factoring completely, the problems are 3x^3-12x and 128x^2-224x+98 1 solutions Answer 83349 by checkley71(8403)   on 2007-12-04 16:13:08 (Show Source): You can put this solution on YOUR website! 3X^3-12X 3X(X^2-4) 3X(X+2)(X-2) --------------------------------- 128X^2-224X+98 2(64X^2-112X+49) 2(8X-7)(8X-7)

Polynomials-and-rational-expressions/114518: Factor the binomial. 25x squared - 81y squared 1 solutions Answer 83344 by checkley71(8403)   on 2007-12-04 16:00:27 (Show Source): You can put this solution on YOUR website! TO FACTOR THE DIFFERENCE OF 2 SQUARES YOU TAKE THE SUM & THE DIFFERENCE OF THEIR SQUARE ROOTS. 25X^2-81Y^2 (5X+9Y)(5X-9Y) ANSWER. PROOF 5X+9Y 5X-9Y ---------------------------- 25X^2+45XY-45XY-81Y^2 25X^2-81Y^2

Quadratic-relations-and-conic-sections/114530: Find the slope of the line that is perpendicular to 3x+2y=4 1 solutions Answer 83343 by checkley71(8403)   on 2007-12-04 15:56:54 (Show Source): You can put this solution on YOUR website! 3X+2Y=4 2Y=-3X+4 Y=-3X/2+4/2 Y=-3X/2+2 THIS LINE HAS A SLOPE OF -3/2. THEREFORE THE PERPENDICULAR LINE HAS A SLOPE EQUAL TO THE NEGATIVE RECIPRICAL OR THE LINE IT IS PERPENDICULAR TO (2/3).

Coordinate-system/114572: equation of the line through points (6,-2) and perpendicular to the line 2x-3y=-7 1 solutions Answer 83342 by checkley71(8403)   on 2007-12-04 15:52:44 (Show Source): You can put this solution on YOUR website! FIRST YOU NEED TO FIND THE SLOPE OF THE GIVEN LINE. Y=mX+b WHERE (m)=SLOPE. 2X-3Y=-7 -3Y=-2X-7 Y=-2X/-3-7/-3 Y=2X/3+7/3 THUS THIS SLOPE=2/3. A PERPENDICULAR LINE WOULD HAVE A SLOPE = TO THE NEGATIVE RECIPRICAL OF THIS SLOPE. THUS THE REQUIRED SLOPE=-3/2 FOR THE PERPENDICULAR LINE. USING THE LINE FORMULA Y=mX+b & SUBSTITUTING THE POINT (6,-2) & THE SLOPE=-3/2 YOU NEED TO SOLVE FOR b THE Y INTERCEPT. -2=-3/2*6+b -2=-18/2+b b=-2+9 b=7 SO THE LINE EQUATION IS: Y=-3X/2+7

Length-and-distance/114538: The length of a rectangular garden is 8 ft. less than 2 times its width. If the perimeter of the garden is 44ft. Find the dimensions of the garden. 1 solutions Answer 83338 by checkley71(8403)   on 2007-12-04 15:43:20 (Show Source): You can put this solution on YOUR website! L=2W-8 44=2*W+2(2W-8) 44=2W+4W-16 44=6W-16 6W=44+16 6W=60 W=60/6 W=10 ANSWER FOR THE WIDTH. L=2*10-8 L=20-8 L=12 ANSWER FOR THE LENGTH. PROOF: 44=2*10+2*12 44=20+24 44=44

Equations/114568: The revenue for a sandwich shop is directly proportional to its advertising budget.When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising? My question is this: what I know so far is that there is a difference of $60,000 between the old and new revenues. Would I take the $2000 and divide by that difference of $60,000? Or am I just confusing myself here Thank You so much for your help, Barb Neely 1 solutions Answer 83336 by checkley71(8403)   on 2007-12-04 15:37:49 (Show Source): You can put this solution on YOUR website! A BETTER APPROACH IS THE FOLLOWING: 2,000/120,000=X/180,000 CROSS MULTIPLY. 120,000X=2,000*180,000 120,000X=360,000,000 X=360,000,000/120,000 X=$3,000 ANSWER FOR THE AMOUNT OF ADVERTISING EXPENSE.