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# Recent problems solved by 'josmiceli'

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 Linear_Equations_And_Systems_Word_Problems/667142: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will they complete the job?1 solutions Answer 414819 by josmiceli(10616)   on 2012-10-16 03:42:53 (Show Source): You can put this solution on YOUR website!A painter can do a given job in 6 hours. The painter can do 1/6 of the job in 1 hour The painter can do 2/6 or 1/3 of the job in 2 hours That means 2/3 of the job is left to be done Add their rates of working to get the rate at which they can do the remaining 2/3 of a job Let = hours needed to do the 2/3 of a job Multiply both sides by They will complete the job in 2 and 1/2 hours
 Linear_Equations_And_Systems_Word_Problems/667143: One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone? 1 solutions Answer 414818 by josmiceli(10616)   on 2012-10-16 03:30:54 (Show Source): You can put this solution on YOUR website!If the 1st group can do 1 job in 8 days, they do 1/8 of the job in 1 day So, in 3 days they do 3/8 of the job That means 5/8 of the job is left to be done ------------------ Let = the number of days the 2nd group takes to do the job alone. Add their rates of working to get the rate at which they can do the 5/8 of a job working together Multiply both sides by The 2nd group could have done the job alone in 12 days
 Polynomials-and-rational-expressions/667139: I am trying to solve an equation by factoring. The equation is: x^2/2 + x/20 = 10 What I have done is cleared the denominators and ended up with: 10x^2 + x = 10 Then I moved the 10 to the left side of the equation and ended up with: 10x^2 + x -10 = 0 I am stuck and cannot factor: 10x^2 + x -10 The answer in the back of the book is: {2/5, -1/2}, but am not sure how to get to this answer without successfully factoring first. In an attempt to factor, I multiplied the first and last coefficients and came up with -100. There are no numbers that when multiplied together equal -100 and also equal the middle coefficient of 1 when added together. Please help.1 solutions Answer 414816 by josmiceli(10616)   on 2012-10-16 03:17:03 (Show Source): You can put this solution on YOUR website! You are not simply changing the appearance of the fractions on the left side. This would be the case if you did: Note that you haven't really changed the value of the left side Now you can multiply through by -------------------------- What you wanted to do was multiply both sides by same answer You can use the quadratic formula and check: Multiply both sides by OK Why does the book disagree? I don't know
 Linear-systems/667138: After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 30 minutes later, the marshall leaves to pursue the robber at 15 mi/h. How long (in hours) does it take the marshall to catch up to the robber? 1 solutions Answer 414815 by josmiceli(10616)   on 2012-10-16 02:47:17 (Show Source): You can put this solution on YOUR website!The robber's head start is miles Start a stop watch when the marshall leaves town Now they both ride for the same amount of time until marshall catches him Let = distance marshall has to ride to catch him robber's equation: (1) marshall's equation: (2) ------------------------ (1) By substitution: It takes the marshall 7 hrs to catch robber check: (2) (2) mi and (1) (1) (1) mi OK
 Exponential-and-logarithmic-functions/667135: im sorry if this is the wrong section to ask it in but here it is... ( x^3 / 64 ) ^2/3 please help :) thanks in advance, i will recomend you if you answer 1 solutions Answer 414814 by josmiceli(10616)   on 2012-10-16 02:36:58 (Show Source): You can put this solution on YOUR website!This is the right place
 Mixture_Word_Problems/667136: • In a trip a person went one-third of the way by bus, 10 miles by foot and one sixth of the way by horse, How long was the trip?1 solutions Answer 414813 by josmiceli(10616)   on 2012-10-16 02:30:15 (Show Source): You can put this solution on YOUR website!Call the length of the trip in miles One-third of the way is One-sixth of the way is given: Multiply both sides by The trip was 20 miles check: OK
 Mixture_Word_Problems/667133: • How many pounds of tea worth 6 dollar per pound should be mixed with 20 pounds of tea worth 4.50 dollars per pound to get a mixture to be sold for 5 dollars per pound?1 solutions Answer 414812 by josmiceli(10616)   on 2012-10-16 02:20:15 (Show Source): You can put this solution on YOUR website!Let = pounds of \$6 tea needed 10 pounds of \$6 tea are needed check: OK
 Linear_Equations_And_Systems_Word_Problems/667056: One thousand quarts of milk testing 4% butterfat are to be reduced to 3%. How many quarts of cream testing 23% butterfat must be separated from the milk to produce the required result? All percentage are by volume. 1 solutions Answer 414788 by josmiceli(10616)   on 2012-10-15 23:03:38 (Show Source): You can put this solution on YOUR website!The butterfat in quarts is quarts Let = quarts of 23% butterfat to be removed = quarts of butterfat removed ---------------- 50 quarts of 23% butterfat cream must be removed check: OK
 Rate-of-work-word-problems/666907: Larry, Curly and Mo assembled a puzzle together in 40 hours. If Curly worked twice as fast as Mo and Larry worked just as fast as Curly, then how long would it have taken Mo to assemble the puzzle alone? 1 solutions Answer 414727 by josmiceli(10616)   on 2012-10-15 19:37:22 (Show Source): You can put this solution on YOUR website!Add their rates of working to get their rate of working together Let Mo's rate is ( 1 puzzle done ) / ( t hours ) Curly's rate is ( 2 puzzles done ) / ( t hours ) Larry's rate is ( 2 puzzles done ) / ( t hours } --------------- Multiply both sides by Mo took 200 hrs to assemble the puzzle check: OK
 test/666905: I'm a fith grader who has trouble with math can you help me1 solutions Answer 414721 by josmiceli(10616)   on 2012-10-15 19:10:48 (Show Source): You can put this solution on YOUR website!Go back to the earliest time when you started having trouble and work on that with help from someone who knows it well. Then keep moving on.
 real-numbers/666900: Find the total admission for the top-grossing movie if they were 12/19 of the total admissions for the top-grossing movie of all time, which had total admissions of 207 million. The total admission forthe top grossing movie is___ millions?1 solutions Answer 414720 by josmiceli(10616)   on 2012-10-15 19:08:38 (Show Source): You can put this solution on YOUR website! \$130,736,842.10
 Word_Problems_With_Coins/666381: April has 100 stamps - some of which are worth 20 cents each and the rest are worth 17 cents each. If the total value of the stamps is \$18.83, how many 17 cnets stamps does april have? I have tried .2(50y)+.17y = 18.83 so far1 solutions Answer 414435 by josmiceli(10616)   on 2012-10-14 20:41:00 (Show Source): You can put this solution on YOUR website!Let = number of 20 cent stamps Let = number of 17 cent stamps given: (1) (2) ----------------------- (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and (1) (1) (1) 61 = number of 20 cent stamps 39 = number of 17 cent stamps check: (2) (2) (2) OK
 Mixture_Word_Problems/666384: Please help me with this mixture problem. A farmer has some red pepper seeds that cost 2o cents per pound and 100 pounds of green pepper seeds that cost 50 cents per pound. How much of the red pepper seeds must be added to the green pepper seeds to make a mixture that sells for 4o cents per pound. Thank you 1 solutions Answer 414430 by josmiceli(10616)   on 2012-10-14 20:29:58 (Show Source): You can put this solution on YOUR website!Let = pounds of red pepper seeds needed given: 50 pounds of red pepper seeds are needed check: OK
 Numbers_Word_Problems/666329: a two-digit number is such that the tens digit is at least 5 more than twice the units digit. find all positive integers.1 solutions Answer 414424 by josmiceli(10616)   on 2012-10-14 20:18:44 (Show Source): You can put this solution on YOUR website!If the 10s digit is , then The units digit can be , or ---------- If the 10's digit is , then The units digit can be or ---------- If the 10's digit is , then The units digit can be or ---------- The 10's digit is or lower The units digit must be ----------- the numbers are 10,20,30,40,50,60, 70,71,80,81,90,91, or 92 ----------- Hope I got it
 Inequalities/666094: Jamel takes a taxicab to work sometimes. Taxicabs charge \$1.50 for the first 1/5 of a mile and an additional \$.25 for each additional 1/5 of a mile. Jamal has \$3.75 total. What is the maximum miles Jamal can travel without giving a tip?1 solutions Answer 414279 by josmiceli(10616)   on 2012-10-14 13:29:20 (Show Source): You can put this solution on YOUR website!Let = the maximum number of miles he can go ( in cents ) He can go 1 mile check: There are 5 fifths in 1 miles 5 fifths minus 1 fifth is 4/5 OK
 Linear-equations/666034: A jar filled with change is holding 5.45 and has 41 coins. There are nickles dimes and quarters. If we remove the nickles, the remaining coins have a value of 4.55. How many type of each coin were there originally? Please set up a system of 3 equations and solve to answer this question. Please show work.1 solutions Answer 414232 by josmiceli(10616)   on 2012-10-14 09:39:06 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of dimes Let = number of quarters --------------------------- given: (1) (2) (3) ---------------------- Multiply both sides of (1) by 5 and subtract (1) from (2) (2) (1) Multiply both sides by Subtract (3) from this and (3) (3) (3) (3) and (1) (1) (1) (1) The number of nickels is 18 The number of dimes is 8 The number of quarters is 15 check: (2) (2) (2) (2) OK
 Age_Word_Problems/666033: Derek is four times as old as his brother.Five years ago,the sum of their ages was equal to derek's present age,How old is derek and his brother"1 solutions Answer 414227 by josmiceli(10616)   on 2012-10-14 09:07:04 (Show Source): You can put this solution on YOUR website!Let = Derek's age now Let = Brother's age now ------------ given: (1) (2) ---------------------- (2) (2) and (1) (1) Derek is 40 and his Brother is 10
 Miscellaneous_Word_Problems/666017: The minute hand of a clock is 18 inches long and its hour hand is 12 inches long. How far does the tip of the minute hand move in 20 minutes? The hour hand?1 solutions Answer 414224 by josmiceli(10616)   on 2012-10-14 08:53:42 (Show Source): You can put this solution on YOUR website!The circumference that is traced out by the minute hand is The circumference traced out by the hour hand is ------------------- 20 minutes is of the circumference The tip of the hour hand travels 37.7 inches in 20 min The tip of the minute hand travels 25.13 inches in 20 min
 Miscellaneous_Word_Problems/666008: Chris went shopping and bought her 9 nephews each a gift, either a video costing \$14.95 or a CD costing \$16.88. She spent \$142.27 on gifts. How many videos and CD's did she buy?1 solutions Answer 414213 by josmiceli(10616)   on 2012-10-14 05:37:53 (Show Source): You can put this solution on YOUR website!Let = number of videos bought Let = number of CDs bought given: (1) ( in cents ) (2) --------------- Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and, since (2) (2) She bought 5 videos and 4 CDs
 Linear_Algebra/665942: A basketball player scored 24 times during one game. He scored a total of 40 points,2 points for each 2 point shot and 1 point for each free throw. How many 2 point shots did he make? How many free throws?1 solutions Answer 414178 by josmiceli(10616)   on 2012-10-13 20:42:54 (Show Source): You can put this solution on YOUR website!Let = number of 2-point shot he took Let = number of free throws he took given: --------------- By substitution: and He took 16 2-point shots He took 8 free throws
 Money_Word_Problems/665702: Shandra Childs earned \$42 in simple interest in 7 years at an annual interest rate of 2%. How much money did she invest?1 solutions Answer 414025 by josmiceli(10616)   on 2012-10-12 23:51:24 (Show Source): You can put this solution on YOUR website!Each year she earned \$6 Let = the amount she invewsted She invested \$100
 Age_Word_Problems/665558: A man's age is four times that me his son. Seven years ago his age was eleven times that of his son. How old are they now?1 solutions Answer 413923 by josmiceli(10616)   on 2012-10-12 14:45:14 (Show Source): You can put this solution on YOUR website!Let = Father's age now Let = Son's age now = Father's age 7 yrs ago = Son's age 7 yrs ago --------------------------- given: (1) (2) ----------------------- (2) (2) Substitute (1) into (2) (2) (2) (2) and, since (1) (1) (1) The father is 40 and the Son is 10 check answer: (2) (2) (2) (2) OK
 Geometry_Word_Problems/665557: what isthe sum of 5ft 2 3/4in, 8ft 1/2in, and 12 1/2inches?1 solutions Answer 413918 by josmiceli(10616)   on 2012-10-12 14:33:51 (Show Source): You can put this solution on YOUR website!The easy part is: ft and in The common denominator of the fractions is and Adding up inches: The sum is 25 ft 3 and 3/4 in
 t e s t/665522: The formula P = 0.62x2 - 0.043x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 25,062 fish? I got 2005 for my answer It is multiple choice -2005 -2003 -2004 -20021 solutions Answer 413900 by josmiceli(10616)   on 2012-10-12 11:59:29 (Show Source): You can put this solution on YOUR website! Here's the plot: This shows 1997 + 6.7 = 2003 + some months
 Rate-of-work-word-problems/665479: sally can paint a room in 6 hours, it takes steve 3 hours to paint the same room. how long will it take if they both work together?1 solutions Answer 413896 by josmiceli(10616)   on 2012-10-12 11:26:07 (Show Source): You can put this solution on YOUR website!Add their rates of painting ( 1 room painted / Sally's time ) + ( 1 room painted / Steve's time ) = ( 1 room painted / time working together ) Multiply both sides by It will take them 2 hrs working together
 Word_Problems_With_Coins/665485: kelly saves all of her dimes and nickels in a jar on her desk. when she counts he money, she finds that she has 107 coins worth a total of \$8.65. how many dimes and how many nickels does she have?1 solutions Answer 413895 by josmiceli(10616)   on 2012-10-12 11:21:19 (Show Source): You can put this solution on YOUR website!Let = number of nickels she has Let = number of dimes she has given: (1) (2) ( in cents ) --------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) She has 41 nickels and 66 dimes check: (2) (2) (2) OK
 Geometry_Word_Problems/665518: A 22-foot board is cut into two pieces. Twice the length of the shorter piece is 4 ft less than the length of the longer piece. Find the length of each piece.1 solutions Answer 413892 by josmiceli(10616)   on 2012-10-12 11:12:49 (Show Source): You can put this solution on YOUR website!Let = the length of the shorter piece = the length of the longer piece given: The pieces are 6 ft and 16 ft check: Twice the shorter piece is 2 x 6 = 12 The longer piece is 4' longer, or 16' OK
 Finance/665488: A train leaves Washington and travels north at 85 miles per hour. Another train leaves at the same time and travels south at 60 miles per hour. How long before they are 580 miles apart1 solutions Answer 413889 by josmiceli(10616)   on 2012-10-12 11:05:51 (Show Source): You can put this solution on YOUR website!You can think of one train as standing still and the other moving away at the sum of their speeds They will be 580 mi apart in 4 hrs
 Complex_Numbers/665512: Need to solve: 5(n+7)/7=7 Thanks!1 solutions Answer 413887 by josmiceli(10616)   on 2012-10-12 10:58:34 (Show Source): You can put this solution on YOUR website! Multiply both sides by Subtract from both sides Divide both sides by check answer: Note that Multiply both sides by Divide both sides by OK
 Finance/665487: The number of registered vehicles on the road in a country is constantly increasing. In 2009, there were approximately 320 million registered vehicles. This represents a 5% increase over 2002. How many registered vehicles were there in the country in 2002? 1 solutions Answer 413883 by josmiceli(10616)   on 2012-10-12 10:49:14 (Show Source): You can put this solution on YOUR website!L:et = number of registered vehicles in 2002 in millions given: ( in millions ) million There were 304,761,880 in 2002
 Travel_Word_Problems/665499: Im traveling 176 miles and i get 12 miles to a gallon and its 4.00 per gallon how much money would i need for gas?1 solutions Answer 413879 by josmiceli(10616)   on 2012-10-12 10:38:36 (Show Source): You can put this solution on YOUR website!You want to find ( dollars ) / ( mile ) so you can multiply ( miles ) x ( dollars ) / (mile ) and come up with dollars. ------------- ( dollars / gallon ) / ( miles / gallon ) = dollars / mile ) dollars / mile, and You need \$58.67 for gas check: gallons miles OK