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# Recent problems solved by 'checkley71'

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 Probability-and-statistics/134552: How many ways can a committee of 4 be chosen from 5 women and 6 men if the committee much have at least one woman?1 solutions Answer 98435 by checkley71(8403)   on 2008-03-31 13:54:22 (Show Source): You can put this solution on YOUR website!THE FIRST ONE CHOSEN IS A WOMAN OR 6 CHANCES. THE SECOND THROUGH THE FOURTH COMMITTEE MEMBER IS 5*4*3=60 6*60=360 TOTAL CHOICES FOR A 4 MEMBER COMMITTEE OF 1 WOMAN & 3 MEN.
 Linear_Equations_And_Systems_Word_Problems/134466: An airplane, flying against the wind dierction, travels 3000 miles between 2 cities in 6 hrs and 15 mts. In the return flight it travels the same distance but in 5 hrs. Find the velocity of the plane in still air and the wind velocity, assuming that both remained constant in the round trip. 1 solutions Answer 98434 by checkley71(8403)   on 2008-03-31 13:43:22 (Show Source): You can put this solution on YOUR website!3000/6.25=480 PLANE SPEED AGAINST THE WIND 3000/5=600 PLANE SPEED WITH THE WIND (600-480)/2=120/2=60 MPH FOR THE WIND PROOF: 600-60=480+60 540=540 SPEED FO THE PLANE IN STILL AIR.
 Numeric_Fractions/134550: Please help me solve this- 1/2 devided (2/3 devided 3/4) - (4/5 * 5/6) I can't figure it out. I have the answer but I can't get the answers to match.1 solutions Answer 98432 by checkley71(8403)   on 2008-03-31 13:32:27 (Show Source): You can put this solution on YOUR website!(1/2)/([2/3]/3/4)-(4/5*5/6) (1/2)/(2/3)*(4/3)-20/30 (1/2)/(8/9)-2/3 1/2*9/8-2/3 9/16-2/3 (9*3-2*16)/48 (27-32)/48 -5/48 answer.
 Quadratic_Equations/134488: one leg of a right riangle is 1/3m shorter than the other leg. if the hypotenuse of the triangle is 5/3m, find the lengths of both legs.1 solutions Answer 98430 by checkley71(8403)   on 2008-03-31 13:15:14 (Show Source): You can put this solution on YOUR website!x^2+(x-1/3)^2=5/3^2 x^2+x^2-2/3x+1/9=25/9 2x^2-2/3x+1/9-25/9=0 2x^2-2/3x-24/9=0 (2x+2)(x-4/3)=0 x-4/3=0 x=4/3 answer for one of the equal legs. proof: 4/3^2+(4/3-1/3)^2=5/3^2 16/9+1^2=25/9 16/9+9/9=25/9 25/9=25/9
 Coordinate-system/134519: Graph and plot 5 points for x-2y=61 solutions Answer 98424 by checkley71(8403)   on 2008-03-31 13:00:50 (Show Source): You can put this solution on YOUR website!X-2Y=6 -2Y=-X+6 Y=-X/-2+6/-2 Y=X/2-3 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, x/2 -3). X-----Y 0-----3 1--(-2.5) 2---(-2) 6-----0 (-6)-(-6)
 Conjunction/134540: ues the 45-45-90 right triangle Conjucture to find the lenths of each triangle a=5,b=__, c=__ 1 solutions Answer 98423 by checkley71(8403)   on 2008-03-31 12:52:51 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 5^2+5^2=C^2 25+25=C^2 C^2=50 C=SQRT50 C=7.07 ANSWER.
 Quadratic_Equations/134543: the revenue R in dollars for the sale of x items at Joe's Dollar Store can be modeled by the equation R=1400x-5x^2. what number of items would provide a revenue of \$16,080?1 solutions Answer 98422 by checkley71(8403)   on 2008-03-31 12:50:06 (Show Source): You can put this solution on YOUR website!R=1400X-5X^2 16,080=1400X^2-5X^2 5X^2-1400X+16,080=0 5(X^2-280X+3216=0 5(X-268)(X-12)=0 X-268=0 X=268 ANSWER. X-12=0 X=12 ANSWER.
 Rate-of-work-word-problems/134441: I tried on this problem already (not from a textbook) and I'm not sure if I'm getting it, I've got answers ranging from 18 mins to 8.89 minutes. Here's the problem: Jack can wash a car in 16 minutes; Jill can wash the same car in 20 minutes. How long will it take both of them working together to wash the car? This is what I've done: (16 + 20) / 2 = 18 mins I've also tried using the example of the solution to problem 133568 and I got 8.89 mins. I'm not sure which is correct and I'd really appreciate the help. Thank you.1 solutions Answer 98337 by checkley71(8403)   on 2008-03-30 18:30:50 (Show Source): You can put this solution on YOUR website!YOU ARE USING THE WRONG EQUATION FOR THIS PROBLEM. THE PROPER EQUATION IS THE PRODUCT DIVIDED BY THE SUM OF THE 2 TIMES. 16*20/(16+20)=320/36=8.889 MINUTES TO WASH THE CAR WORKING TOGETHER.
 Polynomials-and-rational-expressions/134300: q=36/121=01 solutions Answer 98336 by checkley71(8403)   on 2008-03-30 18:26:25 (Show Source): You can put this solution on YOUR website!Q=36/121=0 THEN Q=36/121 36/121=36/121 0=0
 Quadratic_Equations/134365: The area of a rectangular wall of a barn is 198 square feet. Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn. width= ? feet length= ? feet1 solutions Answer 98334 by checkley71(8403)   on 2008-03-30 18:21:29 (Show Source): You can put this solution on YOUR website!L=2W+4 IS THE LENGTH W IS THE WIDTH W(2W+4)=198 2W^2+4W-198=0 2(W^2+2W-99)=0 2(W+11)(W-9)=0 W-9=0 W=9 FEET IS THE WIDTH. L=2*9+4=18+4=22 IS THE LENGTH. PROOF 9*22=198 198=198
 Miscellaneous_Word_Problems/134439: The question I am having difficulty with is: The average of the first four of Arlene's Algebra I test scores was 89, and her average for the last three was 75. What was Arlene's overall average? I'm not sure about the answer to this question as you are averaging four tests, and then three - do you average the 89 and 75 even though there were 4 and 3 tests respectively? I don't think it would be that simple!1 solutions Answer 98333 by checkley71(8403)   on 2008-03-30 18:14:12 (Show Source): You can put this solution on YOUR website!(4*89+3*75)/7=(356+225)/7=581/7=83 is the average of these 7 test scores.
 Problems-with-consecutive-odd-even-integers/134389: Find two consecutive odd integers whose sum is 56. 1 solutions Answer 98331 by checkley71(8403)   on 2008-03-30 18:09:38 (Show Source): You can put this solution on YOUR website!let x & (x+2) be the 2 integers. x+(x+2)=56 2x+2=56 2x=56-2 2x=54 x=54/2 x=27 answer for the smaller interger. 27+2=29 answer for the largest integer. proof: 27+29=56 56=56
 Graphs/134401: This question is from textbook beginning algebra can you help me solve this x=5y, it asks to graph each linear equation by finding x & y intercepts1 solutions Answer 98329 by checkley71(8403)   on 2008-03-30 17:46:44 (Show Source): You can put this solution on YOUR website!X=5Y Y=X/5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x/5).
 Equations/134431: Hi. I have taken a certification test this past weekend and want to know if I got the answer to the problem below correct or not. Thanks! (3+1) ______ (6+4)^21 solutions Answer 98328 by checkley71(8403)   on 2008-03-30 17:43:21 (Show Source): You can put this solution on YOUR website!(3+1)/(6+4)^2=4/10^2=4/100=1/25 OR .04 ANSWER.
 Equations/134432: Hi. I have taken a certification test this past weekend and want to know if I got the answer to the problem below correct or not. Thanks! (3+1) ______ (6+4)^21 solutions Answer 98327 by checkley71(8403)   on 2008-03-30 17:42:32 (Show Source): You can put this solution on YOUR website!(3+1)/(6+4)^2=4/10^2=4/100=1/25 OR .04 ANSWER.
 Equations/134433: Hi. I have taken a certification test this past weekend and want to know if I got the answer to the problem below correct or not. Thanks! (3+1) ______ (6+4)^21 solutions Answer 98326 by checkley71(8403)   on 2008-03-30 17:41:20 (Show Source): You can put this solution on YOUR website!(3+1)/(6+4)^2=4/10^2=4/100=1/25 OR .04 ANSWER.
 Polynomials-and-rational-expressions/134434: The office Jet printer can copy maria's dissertation in 14 min. The lazer jet printer can copy the same document in 22 min. If the two work together how long would they take to copy the dissertation? x/14+x/22 14x+22x=308 36x=308 Now what?1 solutions Answer 98325 by checkley71(8403)   on 2008-03-30 17:39:09 (Show Source): You can put this solution on YOUR website!THE SOLUTION TO THIS PROBLEM IS THE PRODUCT DIVIDED BY THE SUM OF THE 2 WORKLOADS. 14*22/(14+22)=308/36=8.556 OR 8 5/9 MIN. TO COMPLETE THE JOB WITH BOTH PRINTERS WORKING.
 Equations/134436: y=3/4x+1/21 solutions Answer 98324 by checkley71(8403)   on 2008-03-30 17:34:16 (Show Source): You can put this solution on YOUR website!Y=3/4X+1/2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x/4 +1/2). solutions(0,1/2) & (-2/3,0)
 Miscellaneous_Word_Problems/134236: Barry can do a certain job in 2 hours, where as it takes Sanchez 3 hours to do the same job. How long would it take them to do the job working together? 1 solutions Answer 98162 by checkley71(8403)   on 2008-03-29 10:39:32 (Show Source): You can put this solution on YOUR website!2*3/(2+3) 6/5=1.2 answer.
 test/134201: The Yellow Checker Cab Company in San Antonio charges \$1.70 for the first 1/6 of a mile and then \$1.80 per mile for each mile after that to determine the total cost of the trip, T. If M represents the total length of a trip, which equation best represents this relationship? F. T= 1.7 + 1.8M G. T= 1.7 + 1.8(M+1/6) H. T= 1.7 + 1.8(M-1/6) J. T= 1.8 + 1.7(M-1/6)1 solutions Answer 98145 by checkley71(8403)   on 2008-03-28 23:04:52 (Show Source): You can put this solution on YOUR website!T=1.7+1.8(M-1/6) is the answer H).
 Miscellaneous_Word_Problems/134108: In 1991, the separation between college football goalpost uprights was reduced from 23 feet, 4 inches to 18 feet, 6 inches. To the nearest tenth of a percent what was the reduction?1 solutions Answer 98141 by checkley71(8403)   on 2008-03-28 21:17:44 (Show Source): You can put this solution on YOUR website!(23.333-18.5)/23.333=4.833/23.333=.207 OR 20.7% REDUCTION.
 Mixture_Word_Problems/134140: In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300,it means he or she got 300 hits in 1000 at bats. In order to have an average of .300, how many hits would the batter have to get in 400 times at bat?1 solutions Answer 98140 by checkley71(8403)   on 2008-03-28 21:13:20 (Show Source): You can put this solution on YOUR website!.3*400=120 HITS WOULD HAVE AN AVERAGE OF .300 FOR 400 @ BAT. PROOF: 120/400=.3
 Polynomials-and-rational-expressions/134154: I still need help: please help me solve the following synthetic division i am struggling with Use synthetic division and the remainder theroem to find the indicated function value. f(x)=6x to the 4th power +11x³+6x²-6x+53; f(4)1 solutions Answer 98138 by checkley71(8403)   on 2008-03-28 21:07:59 (Show Source): You can put this solution on YOUR website!F(X)=6X^4+11X^3+6X^2-6X+53 F(4)=6*4^4+11*4^3+6^4^2-6*4+53 F(4)=6*256+11*64+6*16-24+53 F(4)=1536+704+96-24+53 F(X)=2365 ANSWER.
 Polynomials-and-rational-expressions/134161: Please help me with the following homework question, I believe the obvious answer is 600 but I'm not sure. P(x)=-0.002x²+1.2x-3001 solutions Answer 98136 by checkley71(8403)   on 2008-03-28 21:01:27 (Show Source): You can put this solution on YOUR website!P(X)=-.002X^2+1.2X-300 USING THE QUADRATIC EQUATION: X=(-1.2+-SQRT{1.2^2-4*-.002*-300])/2*-.002 X=(-1.2+-SQRT[1.44-2.4])/-.004 X=)-1.2+-SQRT-.96)/-.004 X=(-1.2+-.98i)/-.004 X=(-1.2/-.004+-.98i/-.004 X=300+-245i ANSWERS.
 Angles/134162: This question is from textbook Mathematics For Elementary Teachers (A Conceptual Approach) Find the measure of the angle described by the following: the measure of the angle is 26 degrees greater than it's complement. I tried: let x be the angle let 90-x be the complement 90-x=26x I get 3.333333 That doesn't look right.1 solutions Answer 98135 by checkley71(8403)   on 2008-03-28 20:44:24 (Show Source): You can put this solution on YOUR website!THE 2 ANGLES ARE X & X+26 X+X+26=90 2X=90-26 2X=64 X=64/2 X=32 FOR THE SMALLER ANGLE. 32+26=58 FOR THE LARGER ANGLE. PROOF 32+58=90 90=90
 Polynomials-and-rational-expressions/134163: How do i do this? simplify (all positive exponents) 1 solutions Answer 98134 by checkley71(8403)   on 2008-03-28 20:39:27 (Show Source): You can put this solution on YOUR website!(3^-3U^2W^-5)/(6^-1U^-1W^-2) ALL NEGATIVE EXPONENTS IN THE NUMERATOR MOVE TO THE DENOMINATOR AND BECOME POSITIVE EXPONEBTS. ALL NEGATIVE EXPONENTS IN THE DENOMINATOR MOVE TO THE NUMERATOR AND BECOME POSITIVE EXPONENTS. THUS WE HAVE: (6^1U^2U^1W^1)/(3^3W^5) (6U^3W^2)/(27W^5) (2U^3)/(9W^3) ANSWER.
 Geometry_Word_Problems/134181: Please help me solve this problem. Two angles are supplementary. The measure of one is twice the measure of the other. What is the measure of the larger angle? Thanks.1 solutions Answer 98133 by checkley71(8403)   on 2008-03-28 20:30:08 (Show Source): You can put this solution on YOUR website!X+Y=180 X=2Y NOW REPLACE X BY 2Y & SOLVE FOR Y 2Y+Y=180 3Y=180 Y=180/3 Y=60 ANSWER FOR THE SMALLER ANGLE. X=2*60=120 ANSWER FOR THE LARGER ANGLE. PROOF: 60=120=180 180=180
 Linear_Equations_And_Systems_Word_Problems/134197: Find the equation of the line through (-1,-7) having a slope of -6.1 solutions Answer 98131 by checkley71(8403)   on 2008-03-28 20:26:49 (Show Source): You can put this solution on YOUR website!Y=mX+b -7=-6*-1+b -7=6+b b=-7-6 b=-13 THUS THE EQUATION IS: Y=-6X-13 (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, -6x -13).
 Circles/134189: Find the area of the shaded region! PLEASE HELP! 1 solutions Answer 98126 by checkley71(8403)   on 2008-03-28 20:22:54 (Show Source): You can put this solution on YOUR website!THE AREA OF THE CIRCLE IS: A=PIR^2 A=3.14*12^2 A=3.14*144 A=452.16 452.16(60/360) 452.16*(1/6)=75.36 IS THE AREA OF THE 60 DEGREE ARC. THE HEIGHT IF THE EQUILATERAL TRIANGLE IS: 6^2+X^2=12^2 WHERE X=HEIGHT. 36+X^2=144 X^2=144-36 X^2=108 X=SQRT108 X=10.39 FOR THE HEIGHT. THE EQUILATERAL TRIANGLE AREA IS: A=BH/2 A=12*10.39/2 A=124.68/2 A=62.34 NOW SUBTRACT THE TRIANGLE AREA FROM THE 60 DEGREE ARC AREA: 75.36-62.34=13.02 ANSWER FOR THE SHADED AREA.
 test/134190: One number is six less than the other. The sum of the squares of these numbers is 20. Find the numbers.1 solutions Answer 98124 by checkley71(8403)   on 2008-03-28 20:08:08 (Show Source): You can put this solution on YOUR website!X=Y-6 X^2+Y^2=20 (Y-6)^2+Y^2=20 Y^2-12Y+36+Y^2=20 2Y^2-12Y+36-20=0 2Y^2-12Y+16=0 2(Y^2-6Y+8)=0 2(Y-4)(Y-2)=0 Y-4=0 Y=4 ANSWER. & X=4-6 OR X=-2 Y-2=0 Y=2 ANSWER. & X=2-6 OR X=-4