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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Coordinate-system/108861: I really need some help with these two problems. I don't know where to get started or how to get the answer. I thank you so much for all your help! 1.Graph the following quadratic equation: f(x)= x^2 + 4x -5 and 2.Graph the following quadratic equation: f(x)= -2x^2 -8x -6 1 solutions Answer 79391 by checkley71(8403)   on 2007-11-08 18:19:26 (Show Source): You can put this solution on YOUR website!LET Y=X^2+4X-5 (RED LINE) LET Y=-2X^2-8X-6 (GREEN LINE) NOW ASSIGN VALUES FOR X TO FIND THE Y VALUES AND PLOT THEM TO FORM THE CURVES/LINES. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x^2 +4x -5 and y = -2x^2 -8x -6). some red curve points are: (-5,0),(1,0) some green curve points are: (-3,0),(-1,0),(-2,2)
 Travel_Word_Problems/108864: AT 9:00 A.M. A TRUCK LEAVES THE TRUCK YARD AND TRAVELS WEST AT A RATE OF 35 MI/HR. TWO HOURS LATER, A SECOND TRUCK LEAVES ALONG THE SAME ROUTE TRAVELING AT 70 MI/HR. WHEN WILL THE SECOND TRUCK CATCH UP TO THE FIRST TRUCK? THANKS JMS1 solutions Answer 79386 by checkley71(8403)   on 2007-11-08 17:47:26 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME SEEING AS THE DISTANCES ARE THE SAME WE HAVE: 35T=70(T-2) 35T=70T-140 35T-70T=-140 -35T=-140 T=-140/-35 T=4 HOURS THEY WILL MEET. PROOF 35*4=70(4-2) 140=70*2 140=140
 Length-and-distance/108730: Assume that 420 members of the House are available to vote. How many votes are necessary to make up a majority, which is anything over ?1 solutions Answer 79384 by checkley71(8403)   on 2007-11-08 17:43:04 (Show Source): You can put this solution on YOUR website!MAJORITY=(TOTAL/2)+1=(420/2)+1=210+1=211 ANSWER.
 Polynomials-and-rational-expressions/108855: This question is from textbook Structure and Method please help me solve this qeustion: I am having difficulty because our teacher has not explained any of this to our class. Thank you soooo much... 1 solutions Answer 79376 by checkley71(8403)   on 2007-11-08 16:38:11 (Show Source): You can put this solution on YOUR website!COMBINE LIKE TERMS: -3X^2+(7X^2Y-3X^2Y)+(-X^3+4X^3)+XY^2 3X^2+4X^2Y+3X^3+XY^2 ANSWER.
 Miscellaneous_Word_Problems/108850: Train A leaves a station traveling at 96 kil. per hour. 2 hours later, Train B leaves the same station traveling in the same direction at 106 kil per hour. How long does it take Train B to chatch up to Train A?1 solutions Answer 79375 by checkley71(8403)   on 2007-11-08 16:34:07 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME. SEEING AS THE DISTANCES ARE THE SAME THEN: 96T=106(T-2) 96T=106T-212 96T-106T=-212 -10T=-212 T=-212/-10 T=21.2 HOURS AFTER THE FIRST TRAIN LEAVES THEY WILL MEET.
 Polynomials-and-rational-expressions/108853: This question is from textbook Structure and Method Please help me solve this question: my teacher does not explain anything and we are all having trouble; even when one of us asks for an explanation, we do not get one that any of us can understand; your help is very appreciated.1 solutions Answer 79374 by checkley71(8403)   on 2007-11-08 16:27:47 (Show Source): You can put this solution on YOUR website!N^2-4N-3N^2+7N+5N^2 NOW GROUP ALL LIKE TERMS & COMBINE THEM (N^2-3N^2+5N^2)+(-4N+7N) (7N^2-3N^2)+(+3N) 4N^2+3N N(4N+3)
 Miscellaneous_Word_Problems/108846: Thor's avverage driving speed is 14 kil. per hour. faster than Doug's. In the same length of time it takes Thor to drive 348 kil., Doug drives only 292 kil. what is Thor's average speed?1 solutions Answer 79373 by checkley71(8403)   on 2007-11-08 16:24:12 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME. OR TIME=DISTANCE/RATE. 348/(X+14)=292/X NOW CROSS MULTIPLY. 348X=292(X+14) 348X=292X+4088 348X-292X=4088 56X=4088 X=4088/56 X=73 SPEED FOR DOUG. 348/(73+14)=292/73 348/87=4 4=4
 Graphs/108841: Solve the following by graphing. 3x-y=1 3x-y=21 solutions Answer 79372 by checkley71(8403)   on 2007-11-08 16:09:07 (Show Source): You can put this solution on YOUR website!3X-Y=1 -Y=-3X+1 Y=-3X/-1+1/-1 Y=3X-1 (RED LINE) 3X-Y=2 -Y=-3X+2 Y=-3X/-1+2/-1 Y=3X-2 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x -1 and y = 3x -2).
 Equations/108842: Write the equation of the line passing through (6,4) and (6,2).1 solutions Answer 79369 by checkley71(8403)   on 2007-11-08 16:03:49 (Show Source): You can put this solution on YOUR website!SLOPE=(Y2-Y1)/(X2-X1)=(2-4)/(6-6)=-2/0 WHICH INDICATES A VERTICLE LINE THAT PASSES THROUGH THE POINT THEREFORE THE LINE EQUATION IS X=6.
 Human-and-algebraic-language/108775: C-11: Plumbing: A septic tank has the shape ends, 3'6" and long side 5'9". How many gallons does it hold? ( 1 ft cubed+=7.48 gallons.) Round to the nearest gallon.1 solutions Answer 79367 by checkley71(8403)   on 2007-11-08 16:01:08 (Show Source): You can put this solution on YOUR website!ASSUMING THE END IS A 3.5 SQUARED. YOU NEED THREE DIMENTIONS FOR A VOLUME PROBLEM. 3.5*3.5*5.75=70.44 CUBIC FEET. 7.48*70.44=527 GALLONS. ANSWER.
 absolute-value/108776: find the value of {4+5}x{6-3}1 solutions Answer 79365 by checkley71(8403)   on 2007-11-08 15:55:38 (Show Source): You can put this solution on YOUR website!(4+5)(6-3)=9*3=27 ANSWER.
 Human-and-algebraic-language/108778: C-12 Construction: How many cubic yards of concrete are needed to pour eight cylindrical pillars 12 ft 6 in high, each with a diameter of l ft 9 in.?1 solutions Answer 79364 by checkley71(8403)   on 2007-11-08 15:54:16 (Show Source): You can put this solution on YOUR website!VOLUME=12.5*PI*D SEEING AS YOU HAVE 8 COLUMNS MULTIPLY THIS BY 8 THUS: 8(12.5)(3.14*1.75)=549.5 CUBIC FEET. 1 CUBIC YARD = 27 CUBIC FEET. THUS WE HAVE: 549.5/27=20.35 CUBIC YARDS OF CEMENT IS NEEDED.
 test/108780: one side is 3 and another side is 3 and then there is another side that is 5 this is a square 1 solutions Answer 79362 by checkley71(8403)   on 2007-11-08 15:46:16 (Show Source): You can put this solution on YOUR website!IF THESE 3 ARE SIDES ARE 3,3,5 THEN THIS IS A TRIANGLE. IF THE SIDES ARE 3,3 & THE HEIGHT IS 5 THEN THIS IS A 3 DIMENTIONAL FIGURE. WHAT DO YOU WANT? AREA, VOLUME, TOTAL SURFACE AREA?
 absolute-value/108781: find the value of 17.5/21 solutions Answer 79361 by checkley71(8403)   on 2007-11-08 15:42:37 (Show Source): You can put this solution on YOUR website!17.5/2=8.75 answer.
 Equations/108803: Find the product or quotient. Write the answer using exponents. 31. b^4 x b Any help with this problem would be GREATLY appreciated:)1 solutions Answer 79356 by checkley71(8403)   on 2007-11-08 15:29:15 (Show Source): You can put this solution on YOUR website!31) IF THAT IS B^4*B THEN WE ADD THE EXPONENTS THUS: B^(4+1)=B^5 ANSWER.
 Equations/108802: Find the product or quotient. Write the answer using exponents. 10^9 x 10^2 Any help with this problem would be GREATLY appreciated:)1 solutions Answer 79355 by checkley71(8403)   on 2007-11-08 15:27:38 (Show Source): You can put this solution on YOUR website!10^9*10^2 NOW ADD THE EXPONENTS 10^11
 Quadratic_Equations/108835: This question is from textbook algebra 1 what is (a^2+a+1)+ (5a^2-8a+20)1 solutions Answer 79354 by checkley71(8403)   on 2007-11-08 15:26:02 (Show Source): You can put this solution on YOUR website!A^2+A+1 5A^2-8A+20 ------------------------------ 6A^2-7A+21 TO SOLVE USE THE QUADRATIC EQUATION.
 Graphs/108834: This question is from textbook Algebra 1 Write an equation in slope-intercept form that has the same slope as 3x-2y=8 and the same y-intercept as 2y+3x=-4 1 solutions Answer 79352 by checkley71(8403)   on 2007-11-08 15:22:57 (Show Source): You can put this solution on YOUR website!3X-2Y=8 OR -2Y=-3X+8 OR Y=-3X-2+8/-2 OR Y=3X/2-4 THIS LINE HAS A SLOPE OF 3/2. 2Y+3X=-4 OR 2Y=-3X-4 OR Y=-3X/2-4/2 OR Y=-3X/2-2 THIS LINE HAS A Y INTERCEPT OF -2. THE DESIRED LINE HAS THE FOLLOWING EQUATION: Y=3X/2-2 ANSWER.
 Equations/108804: Find the product or quotient. Write the answer using exponents. 32. 6n^6/n^5 Any help with this problem would be GREATLY appreciated:)1 solutions Answer 79350 by checkley71(8403)   on 2007-11-08 15:17:49 (Show Source): You can put this solution on YOUR website!6N^6/N^5 SUBTRACT N^5 FROM THE NUMERATOR & THE DENOMINATOR. (6N^6-N^5)/(N^5-N^5) 6N ANSWER.
 Polynomials-and-rational-expressions/108829: Question #107885 example 1 in your list: 6x^2 - xy - 5y^2. I need to see steps so that I understand how this was done to repeat it on my other problems.1 solutions Answer 79348 by checkley71(8403)   on 2007-11-08 15:13:31 (Show Source): You can put this solution on YOUR website!6X^2-XY-5Y^2 YOU NEED TO FIND FACTORS OF 6 & 5 THAT WHEN MULTIPLIED & THEN ADDED =-1. FACTORS ARE 1&6, -1&-6, 2&3, -2&-3 FOR 6 FACTOPRS ARE -1&5, 1&-5 FOR -5 TO FIND THE CORRECT COMBINATION MAKE UP A TABLE OF THE PRODUCTS & THE SUMS TO EQUAL -1. 6*-1+5*1=-6+5=-1 IS THE ONLY COMBINATION TO PASS THE TEST. (6X+5Y)(X-Y)
 Miscellaneous_Word_Problems/108644: Marlee made \$5 an hour working after school and \$6 an hour working on Saturdays. Last week she made \$64.50 by working a total of 12 hours. How many hours did she work on Saturday?1 solutions Answer 79236 by checkley71(8403)   on 2007-11-07 18:21:06 (Show Source): You can put this solution on YOUR website!5X+6(12-X)=64.50 5X+72-6X=64.50 -X=64.50-72 -X=-7.5 X=7.5 HOURS @ \$5 PER HOUR AFTER SCHOOL WORK. 12-7.5=4.5 HOURS @\$6 PER HOUR SATURDAY WORK. PROOF 5*7.5+6*4.5=64.50 37.5+27=64.50 64.50=64.50
 Proportions/108645: what number is 120% of 80? how do i do this?1 solutions Answer 79235 by checkley71(8403)   on 2007-11-07 18:15:17 (Show Source): You can put this solution on YOUR website!120%=1.2 1.2*80=96 ANSWER.
 Numbers_Word_Problems/108643: The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers....1 solutions Answer 79233 by checkley71(8403)   on 2007-11-07 18:14:00 (Show Source): You can put this solution on YOUR website!LET X BE THE SMALLER NUMBER & X+1 THE LARGER NUMBER. X+1=7+2X X-2X=7-1 -X=6 X=-6 ANSWER FOR THE SMALLER NUMBER. -7+1=-6 ANSWER FOR THE LARGER NUMBER. PROOF -6+1=7+(2*-6) -5=7-12 -5=-5
 Volume/108635: to the nearest hundredth, find the surface area of a cone whose slant height is 9 centimeters and that has a base with radius 6 centimeters.1 solutions Answer 79232 by checkley71(8403)   on 2007-11-07 18:05:06 (Show Source): You can put this solution on YOUR website!TSA=1/2PS+BASE TSA=1/2(PI*D)S+PI*R^2 TSA=.5*3.14*12*9+3.14*6^2 TSA=169.56+113.04 TSA=282.6 ANSWER.
 Equations/108638: nine more than four times a number is the same as one less than twice the number 1 solutions Answer 79230 by checkley71(8403)   on 2007-11-07 17:47:36 (Show Source): You can put this solution on YOUR website!4X+9=2X-1 4X-2X=-1-9 2X=-10 X=-10/2 X=-5 ANSWER. PROOF 4*-5+9=2*-5-1 -20+9=-10-1 -11=-11
 Equations/108636: Can you check my answer please If a bank compounds continuously, then the formula used is A=Pe(rt) where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the hundredth's place.A is the amount of the return. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the number of compound periods in one year. t is the number of years I used 2000 as the principal and.08 as the interest rate. A=2000(2.7183).08 A=2166.5753 Thank you Thank You 1 solutions Answer 79229 by checkley71(8403)   on 2007-11-07 17:45:11 (Show Source): You can put this solution on YOUR website!A=2000(2.7183).08 A=5,436.6*.08 A=\$434.93
 Volume/108634: A pyramid has a square base. Find the surface area of the pyramid if its slant height is 10 centimeters and the sides of its base are 5 centimeters long.1 solutions Answer 79228 by checkley71(8403)   on 2007-11-07 17:36:11 (Show Source): You can put this solution on YOUR website!A SQUARE PYRAMID HAS 4 TRIANGLE SIDES WITH A BASE OF 5 CM & A HEIGHT OF 10CM. AREA OF EACH TRIANGLE=(B*H)/2 THUS WE HAVE 4(5*10)/2=4*50/2=200/2=100 SQUARE CM.
 Quadratic_Equations/108630: The augmented matrix 1 3 2 4 2 -1 5 -2 -3 1 6 1 Represent the systems of equations.1 solutions Answer 79227 by checkley71(8403)   on 2007-11-07 17:31:35 (Show Source): You can put this solution on YOUR website!X+3Y+2Z=4 2X-Y+5Z=-2 -3X+Y+6Z=1 THESE ARE THE 3 EQUATIONS IN THE MATRIX.
 Quadratic_Equations/108551: Solve using square root property 2x^2-35=15 Thanks in advance!!1 solutions Answer 79226 by checkley71(8403)   on 2007-11-07 17:28:48 (Show Source): You can put this solution on YOUR website!2X^2-35=15 2X^2-35-15=0 2X^2-50=0 2(X^2-25)=0 2(X-5)(X+5)=0 X-5=0 X=5 ANSWER. X+5=0 X=-5 ANSWER.
 Linear-equations/108626: This question is from textbook algebra 2 with trigonometry Find the slope of 3x-2y=81 solutions Answer 79225 by checkley71(8403)   on 2007-11-07 17:09:38 (Show Source): You can put this solution on YOUR website!3X-2Y=8 -2Y=-3X+8 Y=-3X/-2+8/-2 Y=3X/2-4 THE SLOPE(m)=3/2 ANSWER.
 Linear-equations/108625: This question is from textbook algebra 2 with trigonometry Find the slope of 3x-2y=81 solutions Answer 79224 by checkley71(8403)   on 2007-11-07 17:08:32 (Show Source): You can put this solution on YOUR website!3X-2Y=8 -2Y=-3X+8 Y=-3X/-2+8/-2 Y=3X/2-4 THE SLOPE(m)=3/2 ANSWER.