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# Recent problems solved by 'josmiceli'

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 Human-and-algebraic-language/498791: Rosie invested \$2000 last year. She put some of the money in a 3.5% saving account and the rest in a 5% CD. At the end of the year she earned \$84.25 of simple interest from her investments. HOw much money did Rosie invest in each account?1 solutions Answer 337167 by josmiceli(9671)   on 2011-09-16 03:36:21 (Show Source): You can put this solution on YOUR website!Let = amount invested @ 3.5% Let = amount invested @ 5% given: (1) (2) --------------------- Multiply both sides of (2) by (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) \$1,050 = amount invested @ 3.5% \$950 = amount invested @ 5% check: (2) (2) (2) (2) OK
 percentage/498695: Amy paid \$102 for a pair of New Balance 1122 running shoes during a 15%-sale. What is the regular price?1 solutions Answer 337117 by josmiceli(9671)   on 2011-09-15 22:16:59 (Show Source): You can put this solution on YOUR website!Let = regular price The regular price is \$120
 Mixture_Word_Problems/498675: hana walked from her home to a bicycle repair shop at a rate of 3.5mph and then rode her bicycle home at a rate of 14mph if the total time spent traveling was 1hour how far from hanas home is the repair shop1 solutions Answer 337115 by josmiceli(9671)   on 2011-09-15 22:13:20 (Show Source): You can put this solution on YOUR website!Let = distance to repair shop walking: With bicycle: and, since The distance to the repair shop is 2.8 mi check: mi OK
 Travel_Word_Problems/498678: a bus went 318km farther than a car. the car went 1/3 as far as the bus. how far did each vehicle travel1 solutions Answer 337112 by josmiceli(9671)   on 2011-09-15 22:04:14 (Show Source): You can put this solution on YOUR website!Let = the distance the car went = the distance the bus went = the distance the bus went The car went 159 km The bus went 477 km
 Rate-of-work-word-problems/498554: Pipe A can fill a pool in 5 hours. Pipe B can fill it in 2 hours less than it takes Pipe C, a drain pipe, to empty the pool. With all 3 pipes open it takes 3 hours to fill the pool. How long would it take Pipe C to empty it?1 solutions Answer 337070 by josmiceli(9671)   on 2011-09-15 20:07:32 (Show Source): You can put this solution on YOUR website!This is a problem of rates Let = pipe C's rate of emptying the pool Pipe A's rate of filling: ( 1 pool in 5 hrs ) Pipe B's rate of filling: Pipe C's rate of emptying pool: ---------- With all 3 pipes open: Multiply both sides by Completing the square: Take the square root of both sides and, also ( can't use the negative square root ) It will take pipe C alone 5 hours to empty pool check answer: OK
 Age_Word_Problems/498494: sally is 12 years old and her uncle mike is 3 times as old. How many years must pass before her uncle mike is only twice as old as sally? how many years ago was uncle mike 7 times as old.1 solutions Answer 337059 by josmiceli(9671)   on 2011-09-15 19:39:41 (Show Source): You can put this solution on YOUR website! is Mike's age now Let = number of years from now when uncle is twice Sally's age (a) In 12 years Sally will be 24 In 12 years Uncle will be 48, twice Sally's age (b) Let = number of years ago when Uncle was 7 times as old as Sally 8 years ago, Uncle was 8 years ago, Sally was Uncle was 7 times her age
 Exponents-negative-and-fractional/498390: find a simple fraction that equals .61481 solutions Answer 337017 by josmiceli(9671)   on 2011-09-15 16:26:41 (Show Source):
 Linear-equations/498376: I need your help in this problem Write the equation of each line Slope=-3/5, through (-4.0) 1 solutions Answer 337016 by josmiceli(9671)   on 2011-09-15 16:22:10 (Show Source): You can put this solution on YOUR website!Use point-slope formula Multiply both sides by Here's a plot:
 Travel_Word_Problems/498380: One runner finishes a race in one hour. A second runner finishes 20 minutes later. If the faster runner is 2mph more than the slower runner, find the rate of each runner. How do I set this up?1 solutions Answer 337015 by josmiceli(9671)   on 2011-09-15 16:13:30 (Show Source): You can put this solution on YOUR website!You need an equation for each runner Let = speed of slower runner in mi/hr Let = the distance of the race given: = speed of faster runner hr = faster runner's time hr = slower runner's time --------------------------- Slower runner: Faster runner: ----------------- Multiply both sides by The faster runner's speed is 8 mi/hr The slower runner's speed is 6 mi/hr
 Miscellaneous_Word_Problems/498357: Nectarines are 3 for a dollar, and pomegranates are \$2 each. If Ms. Petersen buys z nectarines and y pomegranates, how much did she spend?1 solutions Answer 337013 by josmiceli(9671)   on 2011-09-15 16:03:37 (Show Source): You can put this solution on YOUR website!In words: ( cost for fruit ) / ( number of fruit ) = cost / single fruit { cost / single fruit ) x ( number bought ) = amount spent = cost for a nectarine = cost for a pomegranate = amount spent
 Word_Problems_With_Coins/498302: Lindsey has 43 coins in her change purse that are either dimes or quarters. If n represents the number of quarters, write an expression in terms of n taht describes the numbers of dimes1 solutions Answer 337004 by josmiceli(9671)   on 2011-09-15 13:27:22 (Show Source): You can put this solution on YOUR website!Let = number of dimes given:
 Travel_Word_Problems/498275: I don't know why I can't figure these out. Given Running speed 12 km/hr and Biking 30 km/hr. It is a run, bike , then run. A duathlon consists of run, a bike ride and a second run. Use the information below about the average rate of speed of a participant who completed a 55 kilometer duathlon in 2 hours and 25 minutes. Write an equation based on the model. Solve the equation to find the time they spent running and the time they spent biking. Verify that their sum is 55 kilometers. THanks again!!!1 solutions Answer 337003 by josmiceli(9671)   on 2011-09-15 13:25:14 (Show Source): You can put this solution on YOUR website!Let = total running distance in km Let = biking distance in km given: (1) km = time for running = time for biking (2) hrs ----------------------- The average speed is always ( total distance ) / (total time ), so km/hr average speed --------------- Multiply both sides of (2) by (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since = time for running = .9722 hrs or 58 min 20 sec = time for biking = 1.4444 hrs or 1 hr 26 min 40 sec ( the times add up to 2 hrs 25 min ) The key was that they never asked for the separate distances for the 2 runs.
 Equations/498286: Can you show me how to solve: Find the real solutions of the equation by factoring. 2x^4 - 18x^2 =01 solutions Answer 337000 by josmiceli(9671)   on 2011-09-15 12:52:50 (Show Source): You can put this solution on YOUR website! This is true if either: or This is a 4th degree equation, so there should be 4 roots The is called a "double root", so the 4 roots are
 Travel_Word_Problems/498277: A cyclist rides her bike at a rate of 18 kilometers per hour. What is this rate in meters per second? How many meters will the cyclist travel in 20 seconds? Do not round your answers. 1 solutions Answer 336998 by josmiceli(9671)   on 2011-09-15 12:47:27 (Show Source): You can put this solution on YOUR website! km/hr x m / km x hr / secs = m/sec = 100 m / 20 sec
 Distributive-associative-commutative-properties/498278: i don't understand algebra do you have any examples of each way to work out the properties. i can barley do my work it's way too confusing thanks 1 solutions Answer 336997 by josmiceli(9671)   on 2011-09-15 12:40:56 (Show Source): You can put this solution on YOUR website!You need to go back to the very basic stuff, like the number line, etc. Get an " Algebra for idiots" book. You're not an idiot, I'm sure, but they explain things better, and I've used them for all kinds of things.
 Mixture_Word_Problems/498280: Given a stock solution of 5.0% sodium chloride (NaCl), how would you prepare 20 ml of a 2.0% sodium chloride solution? (I have tried many of the examples you give others but I can't work it out for some reason.)1 solutions Answer 336995 by josmiceli(9671)   on 2011-09-15 12:36:38 (Show Source): You can put this solution on YOUR website!In words: (ml of NaCl you end up with) / (ml of total solution you end up with) = 2% They are not telling you how many ml of the stock solution you start with. They only say you end up with 20 ml of solution. In order to get down from 5% to 2% you must add water ( or whatever the solvent is) They should have mentioned that Let = ml of the 5% solution you need Let = ml of water to add given: = NaCl in the 5% solution (1) --------------- (2) (2) (2) and, since (1) (1) (1) You need 8 ml of the 5% solution and 12 ml of water check: (2) (2) (2) (2) OK
 Numbers_Word_Problems/498215: which is a possible solution of 6 + sqrt(3x^4 + 1) = 10 - 2x^2 the answer is -sqrt(15) but i don't know the solution1 solutions Answer 336972 by josmiceli(9671)   on 2011-09-15 10:44:01 (Show Source): You can put this solution on YOUR website! Square both sides I can make the substitution Completing the square: Take the square root of both sides and, since , and --------------- check: The needs to be I would get the same result if I used the answer so both are valid I think the has to be the negative root, or else the equation doesn't work
 Miscellaneous_Word_Problems/498242: Jin and Phyliss received a total of \$50,000 from a deceased relative. They decided to put \$10,000 in a trust fund for their nephew and divide the remainder. Phyliss recieved 3/4 of the remainder, Jim received 1/4. How much did Jim and Phyliss recieve?1 solutions Answer 336969 by josmiceli(9671)   on 2011-09-15 10:22:21 (Show Source): You can put this solution on YOUR website! Phyliss received \$30,000 Jim received \$10,000
 Travel_Word_Problems/498236: John covered a total distance of 16 km by walking for 45 min and running for 40 min. the next day he covered the same distance by walking for 30 min and running for 48 min How fast does he walk and how fast does he run assuming these rates are constant. D1=D2=16 km R1=walking r2=running r1T1=R2T2 3/4R1+2/3R2=16km 1/2R1+4/5R2=16km 3/4R1+2/3R2=1/2R1+4/5R21 solutions Answer 336967 by josmiceli(9671)   on 2011-09-15 10:18:26 (Show Source): You can put this solution on YOUR website!(1) (2) Multiply both sides of (1) by Multiply both sides of (2) by (1) (2) Subtract (2) from (1) (1) (2) km/hr Plug this result back into (2) (2) (2) (2) (2) km/hr He walks at 8 km/hr He runs at 15 km/hr
 Age_Word_Problems/498227: Stephanie is 3 years older than Andrew. Twelve years from now the sum of their ages will be 30 years more than Stephanie's age at present. a. If x represent Andrew's Present age; what represent Stephanie's age? b. What expression represents the sum of the present ages of the two? c. what expression represents the sum of their ages in 12 years? d. What linear function may be used to solve the problem? e. what are the present ages of the two?1 solutions Answer 336964 by josmiceli(9671)   on 2011-09-15 10:04:17 (Show Source): You can put this solution on YOUR website!(a) (b) = (c) = (d) (e) Andrew is 6, Stephanie is 9 check: In 12 years, = OK
 Travel_Word_Problems/498064: a woman is jogging at 6 mi/h and passes a man on a bike going the opposite way at 12 mi/h. if they maintain their current speeds, how far away from each other will they be in ten minutes after passing?1 solutions Answer 336915 by josmiceli(9671)   on 2011-09-14 22:40:19 (Show Source): You can put this solution on YOUR website!Add their speeds: mi/hr They will be 3 miles apart
 Numbers_Word_Problems/498102: Find 3 consecutive intergers whose sum is 211 solutions Answer 336914 by josmiceli(9671)   on 2011-09-14 22:31:57 (Show Source): You can put this solution on YOUR website!Call the integers ,, and given: The integers are 6,7, and 8
 Linear_Equations_And_Systems_Word_Problems/497978: At a bake, it cost you \$100 to make the baked goods.if you charge \$2 for each goodie write an equation that models your total profit.1 solutions Answer 336878 by josmiceli(9671)   on 2011-09-14 20:00:49 (Show Source): You can put this solution on YOUR website!Let = profit Let = number of goodies
 Linear_Algebra/497951: Mrs. Boudon's dog dreams of chasing cats 2x+3 hours per day. How many hours does the dog dream in 4 weeks? 1 solutions Answer 336875 by josmiceli(9671)   on 2011-09-14 19:58:39 (Show Source): You can put this solution on YOUR website! weeks x days/wk = days The dog dreams hours/days x days = 56x + 84 hours
 Linear-systems/497960: I am having problems with systems of linear equations and would like some help explain how to do it. My teacher has not taken the time to help me and i am asking if you will please. Once i got it down i wont need any more help. Thank You - Emily Wright1 solutions Answer 336867 by josmiceli(9671)   on 2011-09-14 19:48:12 (Show Source): You can put this solution on YOUR website!check out the " --- for idiots ". It doesn't mean you're an idiot. I've used them many times for all kinds of subjects. It's a way to get off the ground floor when you're stuck. Good luck
 Percentage-and-ratio-word-problems/497954: A recipe calls for 1/3 cup of sugar. If the chef wants to make 1/2 of the recipe, how much sugar should be used?1 solutions Answer 336864 by josmiceli(9671)   on 2011-09-14 19:43:21 (Show Source): You can put this solution on YOUR website!The chef should use 1/2 of 1/3 cup 1/6 of a cup of sugar
 Problems-with-consecutive-odd-even-integers/497946: how do you find 2 consecutive odd intergera whose sum is negative 104?1 solutions Answer 336863 by josmiceli(9671)   on 2011-09-14 19:41:27 (Show Source): You can put this solution on YOUR website!The numbers must be negative to sum up to Let = larger odd integer is the next smaller consecutive odd integer given: the numbers are -51 and -53
 Probability-and-statistics/497848: Can you please help me with this problem: A photo-processing kiosk charges \$0.25 for each print it produces. The cost of producing the print is \$0.08 per print. The overhead cost \$45.00 per day to rent and staff the kiosk. How many prints must be produced each day to realize a profit of at least \$50.00 per day?1 solutions Answer 336859 by josmiceli(9671)   on 2011-09-14 18:39:54 (Show Source): You can put this solution on YOUR website!Let the daily profit = Let = number of prints produced daily ---------- If 559 prints must be produced daily to make a profit of \$50 /day
 Finance/497884: In the year of 2043, 700 students apply to attend Cedric Benson high school in Chicago. 175 of them are interested in joining the table tennis team. 320 are interested in joining the math team. If there are 100 student who are interested in joining both, how many are interested in joining neither? 1 solutions Answer 336858 by josmiceli(9671)   on 2011-09-14 18:32:58 (Show Source): You can put this solution on YOUR website! join both teams That means want to join only the tennis team And want to join only the math team. The number joining teams is The number joining neither is
 Rational-functions/497855: Can you help me please? Annual profit in thousands of dollars is given by the function, P(x) = 5000 - (1000/(x-1)), where x is the number of items sold in thousands, x > 1. will this profit function have a maximum, if so, what is it?1 solutions Answer 336857 by josmiceli(9671)   on 2011-09-14 18:24:29 (Show Source): You can put this solution on YOUR website!The function approaches 5 million as becomes larger than 1 million. The function can't be greater than 5 million.
 Travel_Word_Problems/497859: Matthew travels two and on-half miles to get to school. This is 3 times the distance that Jennifer travels. How far does Jennifer travel?1 solutions Answer 336856 by josmiceli(9671)   on 2011-09-14 18:19:42 (Show Source): You can put this solution on YOUR website!Let = miles that J. travels given: She travels 5/6 of a mile