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# Recent problems solved by 'josmiceli'

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 �t�e�s�t/723450: I hate you guys!!!!!!!!!!!!!? I need help but you guys told me wrong!!!!!!!!!!!!!!!? Why did you do this?????????????? Never going to trust you again!!!!!!!!1 solutions Answer 443178 by josmiceli(9697)   on 2013-03-07 21:26:00 (Show Source): You can put this solution on YOUR website!If someone purposely misled you, that would really suck! If it was just a dumb mistake, welcome to the real world. I've totally blown a few problems myself. I know which ones to leave alone. Sorry for the crappy experience.
 Mixture_Word_Problems/723297: How much water should be added to 40 liters of a 75% acid solution to dilute it to 60%? I know the current solution has 30 liters of acid (.75x40), but I'm having difficulty with the equation for the dilution.1 solutions Answer 443117 by josmiceli(9697)   on 2013-03-07 17:17:15 (Show Source): You can put this solution on YOUR website!The liters of acid never changes liters of acid Let = liters of water to be added 10 liters of water must be added
 �t�e�s�t/723288: a king hires a crew of 30 workers, who can build a castle wall in 60 days. However, 10 days after the wall was started, the king decided that the wall must be finished in a total of 40 days. How many additional workers must be hired if all the workers work with the same constant rate?1 solutions Answer 443113 by josmiceli(9697)   on 2013-03-07 17:12:14 (Show Source): You can put this solution on YOUR website!Let = the rate at which a single worker works Add their rates of working to get their rate working together ( the means 1 wall / 60 days ) --------------- The 30 workers work for 10 days. Let = the fraction of the wall they finish So, 5/6 of the wall must be finished in days Let = the number of additional workers needed to finish the wall in 30 more days and, since Multiply both sides by 20 workers must be added to finish in 40 days check: can workers do 5/6 of the wall in 30 days? OK
 Rational-functions/723286: When you add, subtract, multiply or divide are there any special rules to consider when dealing with integers?1 solutions Answer 443094 by josmiceli(9697)   on 2013-03-07 16:35:03 (Show Source): You can put this solution on YOUR website!Yes. You can multiply by , but you can't divide by ------------- When multiplying, ( - ) x ( - ) = ( + ) ( - ) x ( + ) = ( - ) ---------------- ( - ) / ( - ) = ( + ) ( + ) / (- ) = ( -) ( - ) / ( + ) = ( - ) All the rest are pretty simple
 Word_Problems_With_Coins/723188: claire purchases a new washing machine on clearance sale for 259. if the clearance price was 65%off the original price what was the original price of the washing machine?1 solutions Answer 443081 by josmiceli(9697)   on 2013-03-07 14:18:32 (Show Source): You can put this solution on YOUR website!Let = the original price given: The original price was \$740
 Exponents/723227: A population of 75 foxes in a wildlife preserve quadruples in size every 15 yr. The function y= 75 * 4^x , where x is the number of 15 yr periods, models the population growth. How many foxes will there be after 45 years? 1 solutions Answer 443080 by josmiceli(9697)   on 2013-03-07 14:13:50 (Show Source): You can put this solution on YOUR website! So there are 3 of the 15 year periods in 45 yrs In 45 yrs, there will be 4800 foxes
 Travel_Word_Problems/723222: The Jones family drove to Disneyland at 50 m.p.h and returned on the same route at 40 m.p.h. Find the distance to Disneyland if the total driving time was 7.2 hours.1 solutions Answer 443079 by josmiceli(9697)   on 2013-03-07 14:08:12 (Show Source): You can put this solution on YOUR website!Let = distance in miles to Disneyland Let = time in hrs to get there = time in hrs to get back -------------- Equation for going: (1) Equation for coming back: (2) By substitution: ------------- (1) (1) (1) and (2) (2) (2) (2) The distance to Disneyland is 160 mi
 Travel_Word_Problems/723178: george can install new wiring for a computer in 3 hours. it takes pete 4 hours. how long will ot take if they work together1 solutions Answer 443077 by josmiceli(9697)   on 2013-03-07 13:56:25 (Show Source): You can put this solution on YOUR website!Add their rates of working ( 1 job ) / ( 3 hrs ) + ( 1 job ) / ( 4 hrs ) = ( 1 job ) / ( t hrs ) Multiply both sides by hrs Working together it will take them 1 hr and 43 min
 Travel_Word_Problems/723216: a freight train leaves a station and travels north at 60 mph. two hours later, a passenger train leaves on a parallel track and travels north at 100 mph. how long will it take the passenger train to overtake the frieght train? how far from the station will they meet1 solutions Answer 443075 by josmiceli(9697)   on 2013-03-07 13:46:35 (Show Source): You can put this solution on YOUR website!In 2 hrs, the freight train gets a head start of mi Let = the distance the passenger train has to travel to catch the freight train ----------------- Start a stopwatch when the passenger train leaves Let = the time on the stopwatch when they meet ------------------ Equation for freight train: Equation for passenger train: ------------ By substitution: hrs and mi They will meet 300 mi from the station check: OK
 Mixture_Word_Problems/723201: It takes Ralph 6 hours to paint a fence. Lisa can do the same job in 10 hours. If Ralph paints alone for 30 minutes before Lisa begins helping, how long must they work together to finish painting the fence? Give your answer to three decimal places. 1 solutions Answer 443070 by josmiceli(9697)   on 2013-03-07 13:36:47 (Show Source): You can put this solution on YOUR website!The question to ask is: "What fraction of the job does Ralph get done in a 1/2 hour ?" ------------------ Multiply Ralph's rate of painting times 1/2 hr ( 1 fence / 6 hrs ) x ( 1/2 ) = 1/12 So Ralph finishes 1/12 of the fence in 1/2 hr --------------- There is 11/12 of the fence left to paint Add their rates of painting to get their rate painting 11/12 of the fence Multiply both sides by They must work together for 3.438 hrs to finish
 Travel_Word_Problems/723156: A plane travels 100 mph in still air. It travels 240 miles into the wind and 240 miles with the wind in a total time of 5 hours. Find the wind speed.1 solutions Answer 443065 by josmiceli(9697)   on 2013-03-07 13:21:50 (Show Source): You can put this solution on YOUR website!Let = the wind speed in mi/hr = the plane's speed going with the wind in mi/hr = the plane's speed going against the wind in mi/hr Let = plane's time going against the wind in hrs = planes time going with the wind in hrs ---------------- Equation going against the wind: (1) Equation going with the wind: (2) ----------------------------- (2) (2) (2) and, (1) (1) Substitute this result into (2) (2) (2) (2) (2) (2) (2) The wind speed is 20 mi/hr ------------------------ check answer: (1) (1) (1) (1) hrs and (2) (2) (2) (2) (2) hrs OK
 �t�e�s�t/723179: I have a question. For i= the square root of -1, if 3i(2+5i) = x+6i, then x = A. -15 B. 5 C. 5 D. 15 E. 271 solutions Answer 443060 by josmiceli(9697)   on 2013-03-07 12:56:34 (Show Source): You can put this solution on YOUR website! Use the definitions: A.
 Rate-of-work-word-problems/723180: If 4 workers can pack 16 parcels in 8 hours then how many could 8 workers pack in 4 hours?1 solutions Answer 443058 by josmiceli(9697)   on 2013-03-07 12:52:11 (Show Source): You can put this solution on YOUR website!Twice as many worker can pack twice as many parcels in the same amount of time, so 8 workers can pack 32 parcels in 8 hours In half of that time, the same number of workers could pack half as many parcels, so 8 workers can pack 16 parcels in 4 hours
 logarithm/722987: how long will it take for the populations of a certain country to double if its annual growth rate is 6.2%?1 solutions Answer 442975 by josmiceli(9697)   on 2013-03-06 22:00:42 (Show Source): You can put this solution on YOUR website!Let P[n] = population after years Let = the starting population = rate of growth of population ------------ given: yrs It will take 11 years 6 months and 9 days
 Rate-of-work-word-problems/722406: aron, Brenda, Charlie, and Danita are house painters. The team of Aaron, Brenda, and Charlie can paint my house in 3 days; if Aaron and Danita work as a pair it takes 6 days; the pair of Charlie and Danita takes 8 days, and the team of Brenda, Charlie, and Danit can finish in 5 days. How long would it take the whole 4-person crew to paint my house?1 solutions Answer 442761 by josmiceli(9697)   on 2013-03-06 00:16:19 (Show Source): You can put this solution on YOUR website!Let = Aaron's rate of painting in houses/day Let = Brenda's rate of painting in houses/day Let = Charlie's rate of painting in houses/day Let = Danita's rate of painting in houses/day ---------------------------------------------- Add rates to get the rate working together (1) (2) (3) (4) --------------------------- This is 4 equations and 4 unknowns, so it should be solvable Subtract (4) from (1) (1) (4) (4) (4) -------------------- Add this result to (2) (2) (4) --------------- and, since (2) (2) (2) (2) (2) You can finish- have to go
 Miscellaneous_Word_Problems/722401: Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three had their birthdays, the sum of their ages was 144. In what years were they born? My work: 2-x+2+x+x=144 x=140 I can't figure out how to make the equation or the to find the years each were born.1 solutions Answer 442736 by josmiceli(9697)   on 2013-03-05 20:36:45 (Show Source): You can put this solution on YOUR website!Let = Clark Gable's age in 1951 = Bob Hope's age in 1951 = Henry Fonda's age in 1951 given: ------------- Clark Gable was born in = 1901 Bob Hope's was born in = 1903 Henry Fonda was born in = 1905
 Percentage-and-ratio-word-problems/722370: the base material for a certain roadbed is 80% crushed rock when measured by weight. How many tons of this material must be mixed with another material containing 30% rock to make 150 tons of material that is 40% crushed rock?1 solutions Answer 442732 by josmiceli(9697)   on 2013-03-05 20:17:16 (Show Source): You can put this solution on YOUR website!Let = tons of 80% crushed rock needed Let = tons of 30% crushed rock needed given: (1) (2) --------------------------- (2) (2) (2) -------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 30 tons of 80% crushed rock are needed 120 tons of 30% crushed rock are needed check: (2) (2) (2) (2) (2) OK
 Miscellaneous_Word_Problems/722321: A wide screen TV is priced at \$3000 was on sale for 30 percent off. When the TV didn't sale,an additional 10 percent of the sale price was taken off the sale price.What sort of equation do I need to write to solve this? 1 solutions Answer 442714 by josmiceli(9697)   on 2013-03-05 18:11:20 (Show Source): You can put this solution on YOUR website!You can say that is the original price ( \$3,000 in this case ) Also say that is the price after whatever discounts are applied After 1st discount: ----------- After 2nd discount: -------------- Now just say and solve for , the current price
 Word_Problems_With_Coins/722275: Given nine nickels and four pennies, find how many different sums of money can be formed using one or more coins.1 solutions Answer 442709 by josmiceli(9697)   on 2013-03-05 16:50:05 (Show Source): You can put this solution on YOUR website!Using just the nickels, there are 9 possible sums ( 5, 10, 15, 20, 25, 30, 35, 40, 45 ) Using just pennies, there are 4 possible sums ( 1, 2, 3, 4 ) so far --------------------- Each of the 4 possible sums using pennies can be combined with any one of 9 possible sums using nickels. possible sums ------------ There are 49 possible sums
 Rate-of-work-word-problems/722152: If 3 persons can do 3 times of a particular work in 3 days then 7 persons can do 7 times of that work in1 solutions Answer 442673 by josmiceli(9697)   on 2013-03-05 13:34:38 (Show Source): You can put this solution on YOUR website!3 persons can do 3 jobs in 3 days 1/3 of the work will take 1/3 of the time, so 3 persons can do 1 job in 1 day It will take 1 person 3 times as long, so 1 person can do 1 job in 3 days 7 persons can do 7 times the work in the same time, so 7 persons can do 7 jobs in 3 days -----------------------------
 Travel_Word_Problems/722171: If an airplane travels 525 miles per hour, how fast does it travel in feet per minute?1 solutions Answer 442672 by josmiceli(9697)   on 2013-03-05 13:25:13 (Show Source): You can put this solution on YOUR website!In terms of units, ( miles / hour ) x ( feet / mile ) x ( hours / minutes ) = feet / minute 525 mi/hr = 46,200 feet/min
 Complex_Numbers/722194: how do i solve (5-4i)^21 solutions Answer 442667 by josmiceli(9697)   on 2013-03-05 13:11:49 (Show Source): You can put this solution on YOUR website! Note that
 Linear_Equations_And_Systems_Word_Problems/722190: Cashews sell for \$5.00 a pound and peanuts sell for \$2.00 a pound. How many pounds of each would you use to make 25 pounds of a mixure that sells for \$92.oo?1 solutions Answer 442666 by josmiceli(9697)   on 2013-03-05 13:07:04 (Show Source): You can put this solution on YOUR website!Let = pounds of cashews needed Let = pounds of peanuts needed given: (1) (2) ------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 14 pounds of cashews are needed 11 pounds of peanuts are needed check: (2) (2) (2) (2) OK
 Mixture_Word_Problems/722182: You need to make 1.5 liters of a 30% salt solution. How much salt do you need? Be sure to include proper units1 solutions Answer 442665 by josmiceli(9697)   on 2013-03-05 12:57:31 (Show Source): You can put this solution on YOUR website!Let = liters of salt needed You need .45 liters of salt
 Rational-functions/722184: So, the question in my textbook reads: "Determine whether the given value of x is a non-permissible value for the rational expression." a) "(3x + 9)/[(x-5)(x+6)] I did the work for the denominator and found that the Non-permissible values for 'x' are "5 and -6." The numerator factors to 3(x+3), however I am not sure if I have to do anything with the numerator. 5/0 is considered undefined, but is 0/5? please help. thank you so much.1 solutions Answer 442664 by josmiceli(9697)   on 2013-03-05 12:50:06 (Show Source): You can put this solution on YOUR website! is permissible You have the correct answers
 Human-and-algebraic-language/722167: A room contains 96 chairs. The number of chairs per row is four more than the number of rows. Find the number of rows and the number of chairs per row.1 solutions Answer 442662 by josmiceli(9697)   on 2013-03-05 12:47:38 (Show Source): You can put this solution on YOUR website!Let = the number of rows = the number of chairs /row Complete the square take the square root of both sides The number of rows is 8 The number of chairs /row is 12 Check: OK
 Money_Word_Problems/722040: Jeane worked 45 hours one week and earned a \$380.00 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the number of hours she works in excess of 40. What is Jeane's regular hourly wage?1 solutions Answer 442593 by josmiceli(9697)   on 2013-03-04 23:38:45 (Show Source): You can put this solution on YOUR website!Let = her regular hourly wage = her overtime hourly wage given: Her hourly wage is \$8/hr
 Polynomials-and-rational-expressions/721854: I cant seem to figure out how x squared+x-12 works1 solutions Answer 442536 by josmiceli(9697)   on 2013-03-04 18:10:07 (Show Source): You can put this solution on YOUR website!(1) It's a function. You can call it f(x), or a function of x. That means that there is 1 and only 1 value of f(x) for each value of x. ------------------- If there were 2 possible values of f(x) for a certain x, then it would be disqualified as a function. ------------------------------------ (2) It's a 2nd degree equation, also called a parabola Here's the plot: --------------- You can see that there are 2 x-crossings, called roots. That is a feature of 2nd degree equations- 2 real roots. If there were no x-crossings at all, then there would still be 2 roots, but they would be imaginary. --------------------------- Hope this helps
 Linear_Equations_And_Systems_Word_Problems/721832: A vendor learned that, by pricing caramel apples at \$1.75 sales will reach 57 caramel apples per day. Raising the price to \$2.75 will cause that sale to fall to 13 caramel apples per day. Let y be the number of caramel apples the vendor sells at x dollars each. Create a linear equation that models the number of caramel apples sold per day when the price is x dollars each. Then determine how many apples will sell per day if the cost is lowered to \$1.50.1 solutions Answer 442531 by josmiceli(9697)   on 2013-03-04 17:56:42 (Show Source): You can put this solution on YOUR website!The given points are: ( x1,y1 ) = ( 1.75, 57 ) ( x2,y2 ) = ( 2.75, 13 ) ------------------- Use the point-slope formula answer If the cost is \$1.50, 68 apples/day will sell if the price is \$1.50/apple --------------- check: Does the line go through ( 1.75, 57 ) ? OK You can check the other point
 Miscellaneous_Word_Problems/721721: Don drew a scale drawing of a county park. The scale he used was 7 inches = 1 yard. What is the scale factor of the drawing?1 solutions Answer 442475 by josmiceli(9697)   on 2013-03-04 12:54:34 (Show Source): You can put this solution on YOUR website!In units: ( yards )x( ft/yard )x( in/ft ) = in in The scale factor is