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 Sequences-and-series/52539: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism. So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved. a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square? Answer: Show work in this space 1 solutions Answer 35085 by checkley71(8403)   on 2006-09-17 14:08:55 (Show Source): You can put this solution on YOUR website!2^31=2,147,483,648 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 1638 32768 65536 131,072 262,144 524,288 1,048,576 2,097,152 4,194,304 8,388,608 16,777,216 33,554,432 67,108,864 134,217,728 268,435,456 536,870,912 1,073,741,824 2,147,483,648 HOPE THIS IS ENOUGH DETAIL
 Complex_Numbers/52525: This question is from textbook 2,-7/4,-1,15/2 show me examples of how u would solve this problem?1 solutions Answer 35084 by checkley71(8403)   on 2006-09-17 13:53:20 (Show Source): You can put this solution on YOUR website!IF YOU ARE COMBINING ALL THESE NUMBERS & FRACTIONS THEN YOU GET 2-7/4-1+15/2 OR 2-1.75-1+7.5=6.75 OR USING FRACTIONS WITH A COMMON DENOMINATOR WE GET 8/4-7/4-4/4+30/4=27/4 OR 6 3/4=6.75
 Quadratic_Equations/52543: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Answer: Show work in this space. 1 solutions Answer 35083 by checkley71(8403)   on 2006-09-17 13:44:54 (Show Source): You can put this solution on YOUR website!35^2=65^2=D62 OR 1225+4225=D^2 OR 5450=D^2 OR D=SQRT5450 OR D=73.824115 KILOMETERS AWAY FROM THE STARTING POINT.
 Linear-systems/52548: This question is from textbook 5x+10-6x+3=6-2x-21 solutions Answer 35082 by checkley71(8403)   on 2006-09-17 13:41:25 (Show Source): You can put this solution on YOUR website!5X+10-6X+3=6-2X-2 OR GROUPING ALL X'S TOGETHER AND ALL NUMBERS WE GET 5X-6X+2X=6-2-10-3 OR COMBING ALL X'S AND NUMBERS WE GET 7X-6X=6-15 OR X=-9 PROOF 5(-9)+10-6(-9)+3=6-2(-9)-2 OR -45+10+54+3=6+18-2 OR 22=6+18-2 OR 22=22
 Linear-equations/52489: (-4,0),(-4,3) (1,-1),(1,3) How do you find these slopes? I don't get how you find it. 1 solutions Answer 35041 by checkley71(8403)   on 2006-09-16 17:30:36 (Show Source): You can put this solution on YOUR website!SLOPE IS (3-0)/(-4-(-4)) OR 3/0 OR AN UNDEFINED SLOPE WHICH IS A VERTICLE LINE THROUGH THE POINT X=-4 SLOPE IS (3-(-1))/(1-1) OR 3+1/0 OR 4/0 AGAIN AN UNDEFINED SLOPE WITH A VERTICLE LINE THROUGH X=1
 Pythagorean-theorem/52228: This question is from textbook The question I have is Tai is fencing a triangular garden plot. He wants 5 posts along each side. What is the fewest number of posts that Tai will need?1 solutions Answer 35040 by checkley71(8403)   on 2006-09-16 17:26:16 (Show Source): You can put this solution on YOUR website!N=4(5-1)OR N=16 POSTS NEEDED THUS 5 FOR THE FIRST SIDE 4 FOR THE NEXT 2 SIDES & 3 FOR THE LAST SIDE OR 5+4+4+3=16
 Percentage-and-ratio-word-problems/52311: Karl determined that the ratio of trucks to cars sold at his car dealership last month was 3 to 7. If a total of 210 trucks and cars were sold last month, how many cars were sold?1 solutions Answer 35039 by checkley71(8403)   on 2006-09-16 17:20:43 (Show Source): You can put this solution on YOUR website!3/7=X/210-X OR 7X=630-3X OR 10X=630 OR X=63 TRUCKS SOLD & 210-63=147 PROOF 3/7=63/147 OR 441=441
 real-numbers/52486: This question is from textbook ultimate math success If x the sum of all prime factors of 38, and if y is the of all prime factors of 84, what is the value of x-y? Answer is 9.How?1 solutions Answer 35038 by checkley71(8403)   on 2006-09-16 17:13:34 (Show Source): You can put this solution on YOUR website!1+2+19=22 ALL THE PRIME FACTORS OF 38 1+2+3+7=13 ALL THE PRIME FACTORS OF 84 OR 22-13=9
 Probability-and-statistics/52388: Select a card from the partial deck. What is the probability that the card will be red? Select a card from the partial deck. What is the probability that this card will NOT be a face card? Select a card from the remaining deck. Place the card back in the deck. Select another card. What is the probability that both cards will be black? Select a card from the remaining deck. Do NOT replace the card. Select another card. What is the probability that a red 3 is selected and a face card is selected? Thanks a bunch. 1 solutions Answer 35037 by checkley71(8403)   on 2006-09-16 16:56:58 (Show Source): You can put this solution on YOUR website!IF YOU ARE DEALING WITH LESS THAN A FULL DECK OF 52 CARDS, 4 SUITS (CLUBS, DIAMONDS, HEARTS & SPADES), 4 OF EACH OF THE FOLLOWING DENOMINATIONS A,K,Q,J,10,9,8,7,6,5,4,3,2. THERE ARE NO CORRECT ANSWERS TO THESE QUESTIONS. EXAMPLE IF YOU REMOVE ALL THE BLACK CARDS THE PROBABILITY OF SELECTING A RED CARD IS 1 HOWEVER IF YOU REMOVE ALL THE RED CARDS THE PROBABILITY OF SELECTING A RED CARD IS 0. A VERY BAD SET OF PROBLEMS.
 Proportions/52315: Write as an algebraic expression: two plus the product of 5 and m . If you could tell me the answer and explain it. I would appreciate it. Thanks1 solutions Answer 35036 by checkley71(8403)   on 2006-09-16 16:44:35 (Show Source): You can put this solution on YOUR website!2+5*M OR 2+5M
 Equations/52393: A dress was first marked down 20% off original price. Then marked down 25 % more off the first sale price and finally 30% off the second sale price. It was sold for 63\$ What was the original price? There is no textbook the teacher made it up.1 solutions Answer 35035 by checkley71(8403)   on 2006-09-16 16:30:36 (Show Source): You can put this solution on YOUR website!GIVEN THE ORIGINAL PRICE WAS X THE X*.8*.75*.7=63 OR .42X=63 OR X=63/.42 OR X=150 PROOF 150-(.2*150)=150-30=120 THEN 120-(.25*120)=120-30=90 OR 90-(.3*90)=90-27=63
 expressions/52400: what is the answer with the steps to 6x-3y? 1 solutions Answer 35026 by checkley71(8403)   on 2006-09-16 16:03:21 (Show Source): You can put this solution on YOUR website!IF YOUR FACTORING THEN 6X-3Y=3(2X-Y) IF YOUR DESCRIBING A LINE EQUATION THEN 6X-3Y=0 OR -3Y=-6X OR 3Y=6X OR Y=2X THUS THIS LINE HAS A SLOPE OF 2 AND A Y INTERCEPT OF 0
 Rational-functions/52421: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Answer: Show work in this space. 1 solutions Answer 35025 by checkley71(8403)   on 2006-09-16 15:58:43 (Show Source): You can put this solution on YOUR website!35^2+65^2=D^2 OR 1225+4225=D^2 OR 5450=D^2 OR D=73.824115 KILOMETERS FROM THE STARTING POINT.
 real-numbers/52479: This question is from textbook ultimate math success If x is the sum of all prime factors of 38 , and if y is the sum of all prime factors of 84 , what is the value of x-y?1 solutions Answer 35023 by checkley71(8403)   on 2006-09-16 15:55:10 (Show Source): You can put this solution on YOUR website!SINCE X=38 & Y=84 THE X-Y=38-84 OR X-Y=-46
 Linear-systems/52478: Hi, We did linear equations last week in class, and now we've moved on to graphing, but I can't do my homework because I still don't understand the linear equations yet! On the blackboard, our teacher explained that the answer to: x + 2y = 0 is y = -1/2x If someone could explain how our teacher got to that answer, I'd REALLY appreciate it!! Also, the book we're using said to just guess a number for x, and then figure out y... does that mean everyone will get a different answer? Thanks, ~ Jasmine 1 solutions Answer 35020 by checkley71(8403)   on 2006-09-16 15:51:27 (Show Source): You can put this solution on YOUR website!X+2Y=0 OR 2Y=-X+0 OR Y=-X/2 OR Y=-(1/2)X IF YOU PICK A VALUE FOR Y AND SOLVE FOR X THIS WILL GIVE YOU A POINT ON THE LINE. THERE ARE MANY POINTS ON THE LINE THEREFORE MANY DIFFERENT VALUES FOR X7Y EXAMPLE LET Y=10 THEN 10=-(1/2)X OR OR DIVIDING BOTH SIDES BY -1/2 WE GET 10/-.5=X OR -20=X THUS THIS POINT IS (-20,10) LET X=4 AND WE GET Y=-(1/2)4 OR Y=-.5*4 OR Y=-2 THUS THIS POINT IS (4,-2) HOPE THIS HELPS
 Graphs/52423: What is the point-slope equation for the line that contains these points? The line contains the points (-3,4) and (2,5)1 solutions Answer 35016 by checkley71(8403)   on 2006-09-16 15:43:22 (Show Source): You can put this solution on YOUR website!SLOPE=(5-4)/(2-(-3)) OR SLOPE=1/2+3 OR SLOPE=1/5 SOLVING FOR THE INTERCEPT WE USE THE LINE FORMULA Y=mX+b OR 4=1/5(-3)+b OR 4=-3/5+b OR 4+3/5=b OR b=4.6 THUS THE EQUATION FOR THIS LINE IS Y=1/5X+4.6
 Quadratic_Equations/52433: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex form to find the maximum area. Answer: Show work in this space. 1 solutions Answer 35012 by checkley71(8403)   on 2006-09-16 15:21:59 (Show Source): You can put this solution on YOUR website!THE MAXIMUM AREA FOR A RECTANGLE IS A SPECIAL RECTANGLE CALLED A SQUARE. THUS 300=X^2 OR X=SQRT300 OR X=17.320508 FEET PROOF 17.320508*17.320508=300 OR 300=300
 Inequalities/52455: what was the MSRP for a Hummer H1 that sold for \$107,272 after an 8% discount?1 solutions Answer 35010 by checkley71(8403)   on 2006-09-16 15:17:32 (Show Source): You can put this solution on YOUR website!107,272=(x-.08x) or 107,272=.92x or x=107,272/.92 or x=116,600 for the MSRP.
 Polynomials-and-rational-expressions/52476: This question is from textbook Beginnning Algebra I'm in desperate need of help, I do not get this problem. Can someone please help me out with it? Solve. 9/x-5 -1 = 8/x+51 solutions Answer 35009 by checkley71(8403)   on 2006-09-16 15:13:33 (Show Source): You can put this solution on YOUR website!if your problem is 9/(x-5)-1=8/(x+5) then 9/(x-5)=8/(x+5)+1 or 8(x-5)=9(x+5)+9 or 8x-40=9x+45+9 or 9x-8x=45+9+40 or x=94 if the problem is (9/x)-5-1=(8/x)+5 or 9/x-6=8/x+5 or 9/x=8/x+5+6 or 9/x=8/x+11 or 8x=9x+99 or 9x-8x=-99 or x=99
 Polynomials-and-rational-expressions/52477: This question is from textbook Beginnning Algebra Can someone figure this problem for me? I don't get it. Evaluate 3*sqrt-64, if possible. I think I wrote this problem correctly, the 3 is above the check mark on the sqrt symbol.1 solutions Answer 35007 by checkley71(8403)   on 2006-09-16 15:02:44 (Show Source): You can put this solution on YOUR website!IF YOU HAVE 3*SQRT(-64) THEN THE SOLUTION IS 3*-8i or -24i
 Polynomials-and-rational-expressions/52309: This question is from textbook mcdougal littell 3 inchesis what percent of 40 inches1 solutions Answer 34858 by checkley71(8403)   on 2006-09-14 20:54:28 (Show Source): You can put this solution on YOUR website!3/40=.075 OR 7.5%
 Linear_Algebra/52306: This question is from textbook McDougal Littell Algebra 2 Write an equation of the line that passes through (2,-7) and is parallel to the line x=5.1 solutions Answer 34857 by checkley71(8403)   on 2006-09-14 20:52:53 (Show Source): You can put this solution on YOUR website!X=2 X=5 IS A VERTICLE LINE PASSING THROUGH THE POINT (5,0) SO THE PARRALLEL LINE THROUGH (2,-7) IS ALSO A VERTICLE LINE ONLY THIS ONE PASSES THROUGH X=2
 expressions/52199: Can someone help me on this problem? Evaluate the following expressions: (18 - 3) * 5 Thank you, Lyn1 solutions Answer 34856 by checkley71(8403)   on 2006-09-14 20:47:01 (Show Source): You can put this solution on YOUR website!(18-3)*5 OR 15*5=75
 Rate-of-work-word-problems/52272: A used car dealer sold two cars and received \$560 for each car. One of these transactions amounted to a 40% profit for the dealer, whereas the other amounted to a 20% loss. Show that the dealer’s net profit on the two transactions was \$20. 1 solutions Answer 34855 by checkley71(8403)   on 2006-09-14 20:42:32 (Show Source): You can put this solution on YOUR website!560*.4+560*-.2=224-112=\$112 PROFIT FOR THE SALE OF THE 2 CARS. SORRY CAN'T AGREE WITH THE \$20 PROFIT.
 expressions/52303: I don't understand how to do these particular math problems. Exam. m2-6;m=41 solutions Answer 34854 by checkley71(8403)   on 2006-09-14 20:37:01 (Show Source): You can put this solution on YOUR website!IF THE PROBLEM IS M^2-6 & M=4 THEN 4^2-6=16-6=10
 Equations/52287: A pension fund owns 12,000 shares in a stock mutual fund and a mutual bond fund. Currently, the stock fund sells for \$12 per share and the bond fund sells for \$15 per share. If the value of the securities is \$165,000, how many shares of each does the pension fund own?1 solutions Answer 34852 by checkley71(8403)   on 2006-09-14 20:34:26 (Show Source): You can put this solution on YOUR website!15X+12(12,000-X)=165000 OR 15X+144000-12X=165000 OR 3X=165000-144000 OR 3X=21000 OR X=21000/3 OR X=7000 SHARES @ \$15 & 12000-7000=5000 @ \$12 PROOF 7000*15+5000*12=165000 OR 105000+60000=165000 OR 165000=165000
 Equations/52212: To whom may it concern, I have problem to do thee question below. On a bus, 99 40-cent tickets and 80-cent tickets costing a total of \$56 were issued. Find the difference between the number of 40-cent tickets and the number of 80-cent tickets issued. Please help. Thank you. CH Lam1 solutions Answer 34851 by checkley71(8403)   on 2006-09-14 20:24:10 (Show Source): You can put this solution on YOUR website!.40X+.80(99-X)=56 OR .40X+79.20-.8X=56 OR -.40X=56-79.20 OR .40X=23.2 OR X=23.2/.4 OR X=58 .40 TICKETS WERE SOLD THEREFORE THERE WERE 99-58=41 .80 TICKETS SOLD PROOF .40*58+.80*41=56 OR 23.2+32.8=56 OR 56=56
 Expressions-with-variables/52289: Simplify 6(2a+1)+3(2+3a)1 solutions Answer 34848 by checkley71(8403)   on 2006-09-14 20:12:45 (Show Source): You can put this solution on YOUR website!6(2A+1)+3(2+3A) OR 12A+6+6+9A OR 21A+12 OR 3(A+4)
 Percentage-and-ratio-word-problems/52291: Ivy Corporation gave 84 people a bonus. If Ivy had given 2 more people bonuses, Ivy would have rewarded 2/3 of the workforce. How large is Ivy's workforce?1 solutions Answer 34847 by checkley71(8403)   on 2006-09-14 20:09:14 (Show Source): You can put this solution on YOUR website!84+2=2/3*X OR 86=2/3*X OR 2X=86*3 OR 2X=258 OR X=258/2 OR X=129
 Problems-with-consecutive-odd-even-integers/52290: the larger of the two consecutive intergers is 7 greater than twice the smaller. Find the integers1 solutions Answer 34845 by checkley71(8403)   on 2006-09-14 20:05:49 (Show Source): You can put this solution on YOUR website!X=7+2(X-1) OR X=7+2X-2 OR X-2X=5 OR -X=5 OR X=-5 PROOF -5=7+2(-5-1) OR -5=7-10-2 OR -5=-5SO THE TWO COSECUTIVE NUMBERS ARE -5 & -6
 Expressions-with-variables/52295: 7-2n=n-14 Can you help me finging the solution The type of question is equation with variables on both sides. my answer was -21 I am not sure if i am right.1 solutions Answer 34844 by checkley71(8403)   on 2006-09-14 19:58:43 (Show Source): You can put this solution on YOUR website!7-2N=N-14 OR -2N-N=-14-7 OR -3N=-21 OR 3N=21 OR N=21/3 OR N=7 PROOF 7-2*7=7-14 OR 7-14=7-14 OR -7=-7