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# Recent problems solved by 'josmiceli'

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 percentage/388806: Please help me solve this problem: a commission of \$168 on \$560 is a commission Of what per cent?1 solutions Answer 275216 by josmiceli(9686)   on 2010-12-26 03:22:56 (Show Source): You can put this solution on YOUR website!Per cent means "per one hundred". In place of "what per cent" I can put in Now I just read the sentence \$168 is x \$560 or Multiply both sides by a commission of \$168 on \$560 is a commission Of 30 per cent
 Money_Word_Problems/388776: If \$2500 is invested at a rate of 11% compounded continuously, find the balance in the account after 4 years. Use the formula A=Pe^rt. a.3795.18 b.3881.77 c.4333.13 d.18472.64 *the answers I'm getting do not match the answers above. please help. 1 solutions Answer 275181 by josmiceli(9686)   on 2010-12-25 17:37:48 (Show Source): You can put this solution on YOUR website! given: --------- This is close to (b). You are doing something wrong with your calculator, I think.
 Radicals/388732: Can you please help me i am doing radicals and square roots. i am having so much problems. Here are the problems: 1.)square root of 128y^4 fraction bar 64^2 2.)square root of 64x^2, 21y^3, 72z^2 Thank you very much 1 solutions Answer 275102 by josmiceli(9686)   on 2010-12-24 15:11:06 (Show Source): You can put this solution on YOUR website!1) Is the problem ? If so, think of it in a way that makes sense to you. You should know both of these basic rules: and Of course, can be any positive number Rewrite your problem to simplify it Right away I see that , so now I have This is the same as This answer can actually be plus or minus. I don't know if you've covered this yet I'll do 1 more: There are no perfect squares contained in , since the only factors are and From the rules: This answer is NOT plus or minus because of the odd exponent in
 Miscellaneous_Word_Problems/388733: A container with a square base, vertical sides, and open top is to be made from 1000 ft2 of material. (a) Write an equation for the volume of the con- tainer as a function of the length of a side of the base. (b) Write an equation for the volume of the con- tainer as a function of the length of the ver- tical side I can do part (a) but I am stuck on (b), Help would be greatly appreciated. Thanks1 solutions Answer 275099 by josmiceli(9686)   on 2010-12-24 14:31:53 (Show Source): You can put this solution on YOUR website!(a) The square base can be any size, so I'll call the sides of the base . I want the ft2 of material to be a square also, so the sides of the container will all be the same height . that means each side of the material will be ft2 I'll place the ft2 base exactly in the center. That means the 4 sides will measure by Let = volume Is this what you got? (b) I'll call the length of the vertical side Ok, now I can say that Now I just have to find in terms of , so I go back to Now I can say Check answer: Suppose That would mean The equation gives me: same answer
 Miscellaneous_Word_Problems/388274: 3.mr. kumar lives in the eastern part of the singapore. he visits his aged parents who lives 36 km away, evry weekends. he finds that if he increases the average speed of his vehicle by 12 km/h.he could save 9 min of his travelling time. find the speed at which he travels before the increase in speed1 solutions Answer 274602 by josmiceli(9686)   on 2010-12-21 15:33:36 (Show Source): You can put this solution on YOUR website!Let = his time before he increases his speed. Let = his rate before he increases his speed given: (1) (2) ---------------------- (2) Substituting from (1): Multiply both sides by Use quadratic formula the other root is ignored since it is negative His speed before the increase is 48 km/hr Check answer: (1) (2) OK
 Inequalities/387944: Adult tickets for a play cost \$14 and child tickets cost \$3. If there were 26 people at a performance and the theater collected \$199 from ticket sales, how many adults and how many children attended the play?1 solutions Answer 274239 by josmiceli(9686)   on 2010-12-19 21:02:44 (Show Source): You can put this solution on YOUR website!Let = number of adult tickets sold Let = number of child tickets sold given: (1) (2) ------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) 11 adults and 15 children attended
 Equations/387807: write in standard form an equation of the line that passes trough the given point and has the given slope.Use integer coefficient. (6,-1),m=01 solutions Answer 274158 by josmiceli(9686)   on 2010-12-19 13:16:28 (Show Source): You can put this solution on YOUR website! given: The line passes through (6,-1), so answer Note that is always the same no matter what isThe plot is:
 Miscellaneous_Word_Problems/387814: A sale at Carney's Electronics offers a specific model of sony radio at 20% off the regular price. If the sale price of the radio is \$45, what is the regular price?1 solutions Answer 274152 by josmiceli(9686)   on 2010-12-19 13:05:23 (Show Source): You can put this solution on YOUR website!Let = regular price given:
 Polynomials-and-rational-expressions/387765: I can't seem to get this right, please help? Use polynomial long division to divide -4x3 + 24x2 – 24x + 4 by x2 – 5x + 1 1 solutions Answer 274147 by josmiceli(9686)   on 2010-12-19 12:31:38 (Show Source): You can put this solution on YOUR website!My 1st term would be , since and And my next term will be , since and The answer is (it checks out)
 Money_Word_Problems/387763: A musician is planning to market a CD. The fixed costs are \$720 and the variable costs are \$6 per CD. The wholesale price of the CD will be \$10. For the artist to make a profit, revenues must be greater than costs. How many CDs, x, must be sold for the musician to break even?1 solutions Answer 274139 by josmiceli(9686)   on 2010-12-19 11:26:37 (Show Source): You can put this solution on YOUR website!Let = total cost of making CDs Let = total income from making CDs given: The problem is asking "When does the income = cost?" 180 CDs must be sold to break even
 Money_Word_Problems/387756: if you deposit \$150 in an account that earns simple interest.The annual interest rate is 3.2%. How much interest will you earn in 3 years?1 solutions Answer 274138 by josmiceli(9686)   on 2010-12-19 11:18:50 (Show Source): You can put this solution on YOUR website!Let Let = earnings at end of each year At the end of the 1st year: At the end of the 2nd year: At the end of the 3rd year: Substituting: Interest earned = In 3 years \$14.87 interst is earned
 absolute-value/387717: joe has a nickles and dime that is worth \$2.15. if the number of dimes was doubled and the number of nickles was increased by 28 , the value of the coins would be \$6.00. How many nickles and dimes does he has?1 solutions Answer 274114 by josmiceli(9686)   on 2010-12-19 03:14:45 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of dimes given: (1) (in cents) (2) ---------------------------------- There are 2 equations and 2 unknowns, so it's solvable (2) (2) Now subtract (1) from (2) (2) (1) impossible In (1), has to be odd to get In (2), ends up being odd again and that can't give me These numbers are wrong somehow, I think.
 Rate-of-work-word-problems/387668: A larger pipe can empty a pool in 6 hrs and a smaller pipe can empty the same pool in 9 hrs. How long will it take both pipes to empty the pool?1 solutions Answer 274050 by josmiceli(9686)   on 2010-12-18 19:47:22 (Show Source): You can put this solution on YOUR website!Add their rates of emptying to get rate for both In words: {1 pool)/(6 hours) + (1 pool)/(9 hours) = (1 pool)/(x hours) Multiply both sides by It will take 3.6 hrs or 3 hours and 36 minutes
 Travel_Word_Problems/387537: Two trains are traveling in 60 kmph on same trace, towards each other. When the distance between them is 18 km, a fly is going to start, flying between them in 80 kmph speed. Find the traveling path distance of the fly up to when it is going to crush by the 2 trains?1 solutions Answer 273973 by josmiceli(9686)   on 2010-12-18 07:24:21 (Show Source): You can put this solution on YOUR website!You can think of the situation as 1 of the trains being stationary and the other moving towards it at the sum of their speeds, or km/hr The fly leaps off the stationary one at km/hr. Now think of the fly as being stationary, and the other train coming towards it at the sum of their speeds, or km/hr. At that speed, the fly and the train will meet in hr or min But the trains will meet in hr or min So, the fly gets to travel for hr at km/hr and km I get km as the distance the fly travels I am unsure of this. I may only be half right. Check another source.
 Linear-equations/387531: Here is my problem. Write the slope-intercept equation for the line with the given slope that contains the given point m=-3/4;(0,5)1 solutions Answer 273963 by josmiceli(9686)   on 2010-12-18 01:49:08 (Show Source): You can put this solution on YOUR website!The slope-intercept form is given: Now you have: If the line goes through (0,5), I can say So, the equation is: Here's the plot:
 Linear-equations/387415: Food-stamp program participation. Participation in the U.S. food-stamp program grew from approximately 17.1 million people in 2000 to approximately 23 million in 2004 Calculate the number of participants in 2001. b) Predict the number of participants in 2010.1 solutions Answer 273962 by josmiceli(9686)   on 2010-12-18 01:41:31 (Show Source): You can put this solution on YOUR website!Basically, you need to find the equation , where is the number of participants for a given year, and is that year -------------------- You want to plot on the vertical axis You want to plot on the horizontal axis Assume the relation between and is linear given: Note that I'm saying The slope will be So, the equation is: (a) There are 18,575,000 participants in 2001 (b) There will be 31,850,000 participants in 2010 Here's the plot:
 Average/387522: I have a percent 91% on first test and 87% on second test and 86% on third test what average percent should I receive of the fourth and fifth test to receive a 95%1 solutions Answer 273960 by josmiceli(9686)   on 2010-12-18 01:17:58 (Show Source): You can put this solution on YOUR website!Let the grades on the 4th and 5th tests = and The problem wants to know what is given: It looks like you can't average 95% for the 5 tests, because then you would need to get better than 100% on the 4th and 5th tests
 Age_Word_Problems/387528: mary is 24 years old. tina is twice as old as mary 3 years ago. what will be tina's age 5 years from now?1 solutions Answer 273959 by josmiceli(9686)   on 2010-12-18 01:06:11 (Show Source): You can put this solution on YOUR website!Let = Mary's age now Let = Tina's age now Three years ago, mary was Three years ago, Tina was given: ------------------- and In five years, Tina will be 50 years old
 Miscellaneous_Word_Problems/387384: Could someone work this out step by step for me. I do not understand. I am lost. b^4+13b^2+36=0 Thank you so much.1 solutions Answer 273823 by josmiceli(9686)   on 2010-12-17 11:13:43 (Show Source): You can put this solution on YOUR website!I can say The equation becomes Using the quadratic formula: where and And, since and The roots are imaginary If I put back into the equation: should check also (note that)
 Angles/387385: Find two complementary angles whose ratio is 4:5.1 solutions Answer 273822 by josmiceli(9686)   on 2010-12-17 10:58:30 (Show Source): You can put this solution on YOUR website!Let the angles be and given: The angles are 40 degrees and 50 degrees
 Graphs/387365: given the graph points of (2,3)(5,5)(8,8) Find the slope of each of the three line segments in the graph. Please show all of your work. Between which two points is the slope the smallest? HELP!!1 solutions Answer 273821 by josmiceli(9686)   on 2010-12-17 10:52:25 (Show Source): You can put this solution on YOUR website!There is a line between the points (2,3) and (5,5) There is a line between the points (2,3) and (8,8) There is a line between the points (5,5) and (8,8) The definition of slope is (change in y)/(change in x) For the 1st line: slope = For the 2nd line: slope = For the 3rd line: slope = The smallest slope is , since, using the LCD, the slopes are , , and
 Linear-equations/387190: I do not really understand how to solve this. The question says: "Graph the line passing through (2,4) tbat is perpendicular to the graph of y=-3" 1 solutions Answer 273681 by josmiceli(9686)   on 2010-12-16 19:59:00 (Show Source): You can put this solution on YOUR website!A line is perpendicular to another line if their slopes are related this way: where means slope of the line(s) It is given that a line has the equation You usually find by comparing the given equation with the general equation , but what you have is more like where , so must be zero. What is ? = infinity, or a vertical slope. So, you have a vertical line that goes through (2,4). All vertical lines have the form From (2,4), I see that the line is
 Age_Word_Problems/387104: John is two times older than Mary. Mary is three times younger than Steve. How old is Steve if he is 3 years older than John?1 solutions Answer 273631 by josmiceli(9686)   on 2010-12-16 16:15:18 (Show Source): You can put this solution on YOUR website!given: (1) (2) (3) This is 3 equations and 3 unknowns, so it's solvable ------------- By substituting (1) into (2): (2) Put this into (3): Steve is 9 years old check answer: and These values check OK
 Miscellaneous_Word_Problems/387070: My homework isnt hard a lot of the time, but this problem is REALLY stumping me! Any help? Last month Cindy Lou ate an unknown number of cans of Who Hash. Her mother ate 7 fewer than 4 times as many cans as Cindy Lou. Her father ate twice as many cans as her mother. Using “h” to represent the number of cans Cindy Lou ate, write an expression to show the total number of cans that Cindy Lou, her mother and father ate. Simplify the expression. I wrote that H= Cindy M=Cindy's Mom F=Cindy's Father 4h-7= M 2m=F I understood that two M is F, and two M is Also equal to 8h-14=F But Im having trouble figuring out how to solve for h in... Please, help me!1 solutions Answer 273625 by josmiceli(9686)   on 2010-12-16 16:05:05 (Show Source): You can put this solution on YOUR website!You can't solve for because it's unknown, and the information given does not make it possible to find. All they want is basically what you already found The number of cans of hash is and this equals This simplifies to
 Average/387082: IT WOULD TAKE BETSEY 4 HOURS TO CLEAN HER ROOM. HER MOM COULD DO IT IN 2 HOURS. USE ALGEBRA TO FIND HOW LONG IT WOULD TAKE THEM WORKING TOGETHER?1 solutions Answer 273616 by josmiceli(9686)   on 2010-12-16 15:54:44 (Show Source): You can put this solution on YOUR website!Think of these problems as adding their rates of working separately Let = Betsy's rate of working alone Let = Mother's rate of working alone Let = their rate of working together --------------------------- The rule is: given: This means 1 room cleaned in 4 hours This means 1 room cleaned in 2 hours ---------------- So far I've got I can express as , or 1 room cleaned in hours Now I have: Multiply both sides by hours This is the same as: min, or 1 hour and 20 minutes working together
 Miscellaneous_Word_Problems/383394: Bonnie had some stickers. First, Bonnie gave away 1/6 of her stickers. When Bonnie gets 12 more stickers, she has 47 stickers.How many stickers did Bonnie have at the start? 1 solutions Answer 271459 by josmiceli(9686)   on 2010-12-08 22:04:27 (Show Source): You can put this solution on YOUR website!Let = number of stickers to start given:
 Proportions/383384: If Jahan can eat 24 hot dogs in 4 minutes, how many hot dogs can he eat in 320 seconds?1 solutions Answer 271454 by josmiceli(9686)   on 2010-12-08 21:31:01 (Show Source): You can put this solution on YOUR website!(4 min) x (60 sec / min) = 240 sec (24 hotdogs/ 240 sec) = (1 hotdog / 10 sec) (1 hotdog / 10 sec) x 320 sec = 32 hotdogs
 Travel_Word_Problems/383218: Traveling downstream, a boat can go 12 miles in 2 hours. Going upstream it takes only 2/3 the distance in twice the time. What is the rate of the boat in still water, and what is the rate of the current?1 solutions Answer 271396 by josmiceli(9686)   on 2010-12-08 17:54:46 (Show Source): You can put this solution on YOUR website!Let = rate of current in mi/hr Let = rate of boat in still water = rate going downstream = rate going upstream given: (1) mi/hr (2) mi/hr add (1) and (2) and since The rate of the boat in still water is 4 mi/hr The rate of the current is 2 mi/hr
 Surface-area/383225: If the box is 12 inches long, 4 inches wide and 3 inches high, then what is the length of the diagonal?1 solutions Answer 271392 by josmiceli(9686)   on 2010-12-08 17:44:19 (Show Source): You can put this solution on YOUR website!Let = diagonal (in in2) in
 Geometry_proofs/378225: Well, I am taking geometry and I forgot how to divide fractions. I have 29/3 divided by 3. So I know I change it to 29/3 divided by 3/1, but what comes next?1 solutions Answer 268777 by josmiceli(9686)   on 2010-11-30 12:40:09 (Show Source):
 Human-and-algebraic-language/378073: i actually have 3 questions. 1. henry wants to join a book of the month club. the first club cost \$40 to join and \$10 per book. The second club cost \$15 per book and has no fee to join. how many books need to be purchased from each club for the clubs to cost the same? they need to be in an equation. 2. A car's speed before a sudden stop can be estimated by the formula S=30gk, where S=speed of the car in mph, g= drag fact,k=length of skid mark. the drag factor during a recent crash was 0.8. What was the approximate speed of the car if it created skid marks 193 feet long? 3. A group of 3 children and 2 adults pay a total of \$120 to take a karate class. A group of 5 children and 1 adult take the same karate class for \$95. What is the total cost for 1 child and 1 adult to take the karate class?1 solutions Answer 268637 by josmiceli(9686)   on 2010-11-30 05:50:31 (Show Source): You can put this solution on YOUR website!I can answer (3) Let = cost for 1 child Let = cost for 1 adult given: (1) (2) Multiply both sides of (2) by and subtract (1) from (2) (2) (1) And, from (2), (2) \$10 = cost for 1 child \$45 = cost for 1 adult