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# Recent problems solved by 'richwmiller'

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 Travel_Word_Problems/616489: Please help me solve the following problem: If Dora works alone she will take 20 more hours to complete a task than if she worked with Boots. If Boots works alone, he will take 5 more hours to complete the task, than if he worked with Dora to complete the task. What is the ratio of the time taken by Dora to that taken by Boots if each of them worked alone to complete the task?1 solutions Answer 387735 by richwmiller(9143)   on 2012-05-31 08:30:01 (Show Source): You can put this solution on YOUR website!t/d+t/b=1 d=t+20 b=t+5 t/(t+20)+t/(t+5)=1 t=-10 t=10 t can't be negative. t=10 d=30 b=15 30/15=d/b=2/1 or 2 to 1 ie 2:1 or twice as fast
 Linear_Equations_And_Systems_Word_Problems/616433: if bob can make 100 feet of rope in 2 hours and tim can make 75 feet of rope in 2 hours, how much rope can bob and tim working together make in 4 hours1 solutions Answer 387695 by richwmiller(9143)   on 2012-05-31 00:41:47 (Show Source): You can put this solution on YOUR website!In 4 hours Bob will make 200 ft of rope. In 4 hours Tim will make 150 ft of rope. In four hours they will make 350 ft of rope.
 Square-cubic-other-roots/616452: For which of the following equations is it true that the sum of the roots equals the product of the roots? A. x^2 - 4 = 0 B. x^2 - 2x +1 = 0 C. x^2 - 4x + 4 = 0 D. x^2 - 5x + 6 = 0 E. x^2 + 4x + 4 = 0 This is a question from a Practice Subject Test I'm taking. The roots of what? How would you compare the sum of the said roots and the product of them? This confuses me. Thank you very much for any help you can give me!1 solutions Answer 387684 by richwmiller(9143)   on 2012-05-30 22:39:59 (Show Source): You can put this solution on YOUR website!x*y=x+y A) roots are -2 and 2 -2*2=-4 -2+2=0 no B)1 and 1 1*1 not equal to 2 no C)x=2 and 2 2*2=2+2 yes D)3 and 2 3*2 not equal 3+2 no E) -2 and -2 no C) is the only answer
 Word_Problems_With_Coins/616409: ark reached in his pocket and pulled out 10 coins. all the coins were either dimes or nickels. The value of the 10 coins was 0.08 cents. how many nickels did mark have in his pocket1 solutions Answer 387675 by richwmiller(9143)   on 2012-05-30 21:13:03 (Show Source): You can put this solution on YOUR website!10 coins worth .08 cents????
 Proportions/616116: Tim can fold a certain number of brochures in 20 minutes. John can fold the same number in 15 minutes. If tim and john work together for 3 hours and during that time john folds x brochures, how many brochures will tim fold? A)4/3x B)5/4x C)3/4x D)2/3x E)1/2x1 solutions Answer 387545 by richwmiller(9143)   on 2012-05-30 11:50:03 (Show Source): You can put this solution on YOUR website!1/4vs 1/3 1/4/1/3=4/3 A) 4/3 x or john 3/1/4=12 tim 3/1/3=9 j/t=12/9=4/3 A)4/3 x
 Geometry_Word_Problems/616178: A guy is 62 1/2 inches tall his daughter is 57 1/9 inches tall how much taller is the guy1 solutions Answer 387539 by richwmiller(9143)   on 2012-05-30 11:27:15 (Show Source): You can put this solution on YOUR website!62-57=5 1/2-1/9 convert to 18ths 9/18-2/18=7/18 5 7/18 inches taller depending on hairstyle and heals.
 Geometry_Word_Problems/616177: how many yardsticks measuring 1/4 by 3 by 36 inches will fit in a box of 3 inches wide, 36 inches high, and a girth of 30 inches? 1 solutions Answer 387536 by richwmiller(9143)   on 2012-05-30 11:21:11 (Show Source): You can put this solution on YOUR website!(30*3*36)/(.25*3*36)=30/.25=120
 Miscellaneous_Word_Problems/616159: Tickets for school play go on sale Monday. Prior to this a total of 27 tickets have been purchased by the members of the cast for their families. As the day progresses a total of 6 tickets are sold each hour. Let “h” represents the number of hours that have gone by and let “t” represents the number of tickets that have been sold. 1. Create a table of values that represent this situation h t 2. Write an equation that represents this situation. 3. Is this equation linear? (Give evidence to support your decision) 4. Graph this equation on the Cartesian plane below (Be sure to label both axes on your graph) 5. Use the graph to estimate how many tickets will be sold after 10 hours. 6. Use the equation to find how many tickets will be sold after 10 hours. 7. Compare the answers in questions 5 and 6. 8. Choose any two ordered pairs that verify your equation and find the slope using slope =(y2-y1)/(x2-x1) 9. Use any two points on the graph: a. Highlight the difference between the y-coordinates of these two points (y2-y1) also called vertical change and find its value. b. Highlight the difference between the x-coordinates of the same two points (x2-x1) also called horizontal change and find its value. c. Find the ratio of vertical change vs. the horizontal change. d. Compare this ratio to the slope found in question 8. 10. What does this slope tell us? 1 solutions Answer 387534 by richwmiller(9143)   on 2012-05-30 11:14:34 (Show Source): You can put this solution on YOUR website!t=6h+27 Slope is 6 which means that for every 1 hour that passes number of tickets goes up 6. yes it is linear. It follows the pattern y=mx+b
 Linear-equations/616167: Solve the system of equations shown below using elimination, and then state the solution as an ordered pair. 4x+5y=-18 -9x+2y=-92 1 solutions Answer 387528 by richwmiller(9143)   on 2012-05-30 11:06:04 (Show Source): You can put this solution on YOUR website!multiply the first by 2 and the second by -5 and add them solve for x then plug that into any of the equations and solve for y then write them as (x,y)
 Money_Word_Problems/616015: A computer originally priced at \$1,638 is on sale at 33 ½% off. What is the sale price?1 solutions Answer 387457 by richwmiller(9143)   on 2012-05-29 21:20:43 (Show Source): You can put this solution on YOUR website!.665*1638
 Polynomials-and-rational-expressions/615934: A cube has a surface area of 6x^2+120x+600. Find the length of a side. I know that I have to find the greatest common factor. The length of the side is?1 solutions Answer 387455 by richwmiller(9143)   on 2012-05-29 21:12:54 (Show Source): You can put this solution on YOUR website!You left out x of 120x A cube has six equal sides divide by 6 to fund the area of one side x^2+20x+100 The area of one side is that side squared Find the square root (x+10)*(x+10) x+10 is one side
 Quadratic-relations-and-conic-sections/616003: Help?! I was searching throughout the internet for a video with a detailed explanation of Algebra Conics, but no luck D: Can anyone please help me with these problems? It's practice for my final, and I'm just panicking!! Write the equation in standard form, find the center and radius. ((a CIRCLE)) 1)x^2+y^2-12x+14y+17=0 ANY HELP IS SINCERELY AND GRATEFULLY APPRECIATED!1 solutions Answer 387448 by richwmiller(9143)   on 2012-05-29 20:57:47 (Show Source): You can put this solution on YOUR website!(x-6)^2+(y+7)^2=68 circle center | (6, -7) radius | 2 sqrt(17)~~8.24621 diameter | 4 sqrt(17)~~16.4924 area | 68 pi~~213.628 perimeter | 4 sqrt(17) pi~~51.8125
 Equations/615959: To buy both a new car and a new house, Tina sought two loans totaling \$142,511. the simple interest rate on the first loan was 1.2%, while the simple interest rate on the second loan was 4.6%. At the end of the first year, Tina paid a combined interest payment of \$5457.03. What were the amounts of the two loans?1 solutions Answer 387398 by richwmiller(9143)   on 2012-05-29 18:50:19 (Show Source): You can put this solution on YOUR website!.012x+.046y=5457.03; x+y=142511 x=32308.10, y=110203.00
 Geometry_Word_Problems/615945: Can you help me please I don't get this question and I don't know where to start. The area of a rectangle is represented by 10x^3+15x^2+4x+6. It's dimensions are represented by binomials in x that have prime number coefficients. What are the dimensions of the rectangle?1 solutions Answer 387396 by richwmiller(9143)   on 2012-05-29 18:43:30 (Show Source): You can put this solution on YOUR website!Factor 10x^3+15x^2+4x+6 into two factors which have numbers that are prime. (2x+3)*(5x^2+2) 2 and 5 are prime numbers. So is 3.
 test/615941: 5x-10y=-401 solutions Answer 387387 by richwmiller(9143)   on 2012-05-29 18:29:34 (Show Source): You can put this solution on YOUR website!Nice equation. May I borrow it sometime? Do you have a question about it?
 Expressions-with-variables/615942: could u give me 8 equations with variables?1 solutions Answer 387385 by richwmiller(9143)   on 2012-05-29 18:25:21 (Show Source): You can put this solution on YOUR website!Yes I could but I won't Just look in your book and pick any 8 equations.
 Equations/615938: please help it says to solve by using elimination method 5x – 4y = 10.5 20x – 16y = 42 1 solutions Answer 387383 by richwmiller(9143)   on 2012-05-29 18:22:09 (Show Source): You can put this solution on YOUR website!They are the same. They have all solutions in common. Multiply the first by 4 and you get the second.
 Word_Problems_With_Coins/615877: You have some change in your pocket: all but 3 are quarters, all but three are dimes, all but 3 are nickles, all but 3 are pennies. How much money do you have?1 solutions Answer 387366 by richwmiller(9143)   on 2012-05-29 16:08:28 (Show Source): You can put this solution on YOUR website!x-3=q; x-3=d; x-3=n; x-3=p; 25q+10d+5n+p=t n = d, p = d, q = d, t = 41 d, x = d+3 x=4 d=1 q=1 n=1 p=1 25+10+5+1=41 cents
 percentage/614769: what is a shortcut for finding the sale price of an item advertised at a 35% discount?1 solutions Answer 386723 by richwmiller(9143)   on 2012-05-25 10:54:39 (Show Source): You can put this solution on YOUR website!.65*x
 Miscellaneous_Word_Problems/614825: Sally makes turquoise rings. She rents a booth for \$35 a day to sell her rings. Each ring cost her \$2 to make. She sell each ring for \$5. Sally wants to make at least \$200 profit for the day. How many rings must she sell? A. 34 B. 78 C. 79 D. 1181 solutions Answer 386722 by richwmiller(9143)   on 2012-05-25 10:51:14 (Show Source): You can put this solution on YOUR website!profit=selling price minus costs p=5-2 p=3 dollars per ring y=mx+b 200=3x+35 165=3x 55=x She must sell at least 55 rings to make 200 dollars profit.
 Proportions/614761: Snowhite Paint Co. contracts to paint three houses. Andy can paint a house in 6 days, while Bruce would take 8 days and Carl would take 12 days. After 8 days Andy goes on vacation, and Bruce begins to work for a period of 6 days. How many days will it take Carl to complete the contract? 1 solutions Answer 386695 by richwmiller(9143)   on 2012-05-25 06:58:17 (Show Source): You can put this solution on YOUR website!Not enough info. Are they working together? separately? one at a time? all together on the same house? all together on different houses? Do they all work for snow white paint co? http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.262229.html
 Sequences-and-series/614773: three men do a piece of work,the first does 7/15,the second does 5/6 of the remainder while the third does the rest. If the rest done by the third person equals 24units,find whole piece of work 1 solutions Answer 386693 by richwmiller(9143)   on 2012-05-25 06:40:31 (Show Source): You can put this solution on YOUR website!7/15 by the first 1-7/15=8/15 5/6*8/15=4/9 by the second = 1/6*8/15 by the third (1/6*8/15)*x=24 1/3*4/15*x=24 x=270
 Quadratic-relations-and-conic-sections/614777: x^2 - 5x + 61 solutions Answer 386690 by richwmiller(9143)   on 2012-05-25 06:19:50 (Show Source): You can put this solution on YOUR website!You want factors of +6 -6 -1 +6 +1 +3 +2 -3 -2 ****** try these which add up to -5
 Rate-of-work-word-problems/614661: Alice can paint a room in 8 hours. Her assistant can paint the same room in 12 hours. How long will it take to paint the same room id they work together? 1 solutions Answer 386652 by richwmiller(9143)   on 2012-05-24 20:10:40 (Show Source): You can put this solution on YOUR website!x/12+x/8=1 8x+12x=96 20x=96x=48/10=4.8
 Miscellaneous_Word_Problems/614558: It took John 12 hours riding his bike to make the round trip to his uncle's. If he averaged 20 mph out and 30 mph back, how long did he travel each way? (round answer to the nearest tenth)1 solutions Answer 386612 by richwmiller(9143)   on 2012-05-24 16:02:35 (Show Source): You can put this solution on YOUR website!a=20x; b=30y; 20x=30y x+y=12 a = 144, b = 144, x = 36/5, y = 24/5 going 36/5=7.2 hours returning 24/5=4.8 hours
 Linear-systems/614452: 10.) "find the slope of the line through each pair of points" (3, -1) & (2,1) i tried doing y2-y1/x2-x1 formula but I'm not sure if the answer is -2 / 11 solutions Answer 386573 by richwmiller(9143)   on 2012-05-24 12:53:07 (Show Source): You can put this solution on YOUR website!The slope is difference of y over the difference of x -1-1 over 3-2 -2/1 the slope is -2
 Linear_Equations_And_Systems_Word_Problems/614492: find the numbers whose sum is 15, if twice the first number minus the second number equals 6. I have: 2x-y=6 anything close?1 solutions Answer 386572 by richwmiller(9143)   on 2012-05-24 12:38:37 (Show Source): You can put this solution on YOUR website!good start but you left out the rest x+y=15 2x-y=6 now you have two equations with two unknowns. solve both for y y=15-x 2x-6=y 15-x=2x-6 21=3x 7=x y=8 check 2x-y=6 14-8=6 ok
 Linear-equations/614487: P has coordinates (-1,2). Find two positions for point Q so that the slope of PQ is 2.1 solutions Answer 386571 by richwmiller(9143)   on 2012-05-24 12:27:42 (Show Source): You can put this solution on YOUR website!For the slope to be 2 y must increase by two when x increases by one so add one to x and 2 to y (0, 4) go back one (-2,0) are on the same line with slope 2
 Average/614490: if i had a 88 in the 1st quarter and a 70 in the second what do i need to make on my exam to pass that class. exams are worth 20 percent 1 solutions Answer 386569 by richwmiller(9143)   on 2012-05-24 12:22:51 (Show Source): You can put this solution on YOUR website!not enough info. you say that exams are worth 20 % What about class participation and attendance? What about each quarter? You have only mentioned two of 4 quarters.
 Money_Word_Problems/614485: I want to order T-shirts for my organization. The price is \$15 for each T-shrit and \$10 for shipping. Write an expression for the amount of money this will cost you. If I buy 20 T-shirts, how much will cost me if I have a total of \$145 to spend?1 solutions Answer 386568 by richwmiller(9143)   on 2012-05-24 12:19:15 (Show Source): You can put this solution on YOUR website!Your problem is poorly worded. You can't buy 20 t shirts with 145 dollars. y=15x+10 y=20*15+10 y=300+10 y=310 20 t shirts will cost you 310 dollars y=15x+10 145>=15x+10 135>=15x 27>=3x 9>=x You can buy 9 shirts for \$145