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Money_Word_Problems/197937: .} Recovering an investment. The manager at Cream of the Crop bought a load of watermelons for $200. She priced the melons so that she would make $1.50 profit on each melon. When all but 30 had been sold, the manager had recovered her initial investment. How many did she buy originally? 1 solutions Answer 148427 by josmiceli(9817)   on 2009-05-27 10:13:41 (Show Source): You can put this solution on YOUR website! Let = the number of watermelons bought given: = the number of watermelons sold = profit made on watermelons sold = price paid per watermelon bought -------------------------------------- This is (cost/wm + profit/wm)*(actual wm's sold) = investment Multiply both sides by (ignore negative result) She bought 80 watermelons originally check answer: = price paid per watermelon = watermelons sold = price paid for water melons sold = profit on watermelons sold OK

Travel_Word_Problems/197923: There are 220 barrels of cement in one shed and 510 barrels in another. How many barrels must be transferred from the second to the first shed will contain two thirds as much as the second? I need help setting up the equation...plez. thank you 1 solutions Answer 148409 by josmiceli(9817)   on 2009-05-27 00:38:25 (Show Source): You can put this solution on YOUR website! Let = barrels of cement to be transferred from 2nd to 1st shed After transferring: In shed 1 is In shed 2 is given: Multiply both sides by 72 barrels of cement must be transferred from 2nd to 1st shed check: Multiply both sides by OK

Linear_Equations_And_Systems_Word_Problems/197922: A B and C can finish a job in 6 days. If B and C work together the job will take 9 days. If A and C work together the job will take 8 days. In how many days can each man working alone do the job? 1 solutions Answer 148407 by josmiceli(9817)   on 2009-05-27 00:27:14 (Show Source): You can put this solution on YOUR website! I will say the following: A's rate of working is (1 job)/(a days) B's rate of working is (1 job)/{b days) C's rate of working is (1 job)/(c days) --------------------------------------- I can add their rates of working to get a rate at which they work together (1) (2) (3) ------------------------- From (2) From (3) Substitute these into (1) (1) Multiply both sides by From (2) (2) From (3) (3) A can do the job in 18 days B can do the job in 24 days C can do the job in 14.4 days check answer: (1) Multiply both sides by OK (2) Multiply both sides by OK (3) Multiply both sides by OK

Travel_Word_Problems/197729: Thelma's average driving speed is 3 miles per hour faster than Doug's. In the same length of time it takes Thelma to drive 200 miles, Doug only drives 188 miles. What is Thelma's average driving speed? 1 solutions Answer 148406 by josmiceli(9817)   on 2009-05-26 23:51:34 (Show Source): You can put this solution on YOUR website! I have an equation for each one and --------------------- given: mi/hr (I'll call them both ) mi mi --------------------- What is Thelma's average driving speed? and Substituting, hr Substituting, Thelma's average driving speed was 50 mi/hr check: mi/hr mi/hr and OK

Equations/197753: A math teacher collects old books. One day, a student asked him how many old math books he has. He replied, "If I divide the books into unequal whole numbers, then 64 times the difference between the two numbers equals the difference between the squares of the two numbers." How many old math books does the teacher have? 1 solutions Answer 148404 by josmiceli(9817)   on 2009-05-26 23:31:17 (Show Source): You can put this solution on YOUR website! Call the larger number Call the smaller number given: I now know that the sum of the numbers is I can think of the right side of the equation as (hypotenuse)^2 - (one leg)^2 of a right triangle where is the hypotenuse and is the leg The left side of the equation must be where From above, , so must be a whole number, since the right side of the original equation is a whole number That means that must be a whole number Note that if , then and , , and that is not allowed by the problem. So I'll try Not allowed, since has to be a whole number I'll try So, --------------- The teacher had 64 old math books

Age_Word_Problems/197870: The ten's digit of a two digit number is 3 more than the unit's digit. The number is eight more than six times the sum of the digits. Find the number. 1 solutions Answer 148397 by josmiceli(9817)   on 2009-05-26 22:48:08 (Show Source): You can put this solution on YOUR website! Call the tens digit Call the units digit The number is given: (1) (2) Substitute (1) in (2) (2) And, from (1) The number is 74 check answer: (2)

Polynomials-and-rational-expressions/197872: A rectangular pen has a length of 3 feet greater than its width. If both dimensions are increased by 5 feet, which expression gives the resulting increase in area? a. 10x + 40 b. 13x + 40 c. x2 + 13x + 40 d. x2 + 10x =40 My attempt: area = length x width original pen would be x(x+3)=x2+3x new pen would be (x+5)(x+8)=x2+13x+40 However answer sheet says correct answer is A. Thank you 1 solutions Answer 148395 by josmiceli(9817)   on 2009-05-26 22:33:52 (Show Source): You can put this solution on YOUR website! What they're asking for is: "How much bigger is the 2nd pen than the 1st? So, in words Difference = (area of 2nd pen) - (area of 1st pen)

Equations/197480: Please help me solve for x in this problem 3/(5x)-4/(3x)=7 Thanks 1 solutions Answer 148090 by josmiceli(9817)   on 2009-05-23 22:28:09 (Show Source): You can put this solution on YOUR website! Note that can't be , since that would mean dividing by , which is prohibited Multiply both sides by , the LCD check answer: Multiply both sides by Multiply both sides by OK

percentage/197461: An item which normally sells for $80 is on sale at a 20% discount. The sale price of the item is 1) $100 2) $16 3) $60 4) $64 1 solutions Answer 148089 by josmiceli(9817)   on 2009-05-23 22:04:46 (Show Source): You can put this solution on YOUR website! Let = the sale price The sale price is $64

Equations/197479: Please help me solve this problem. 6/(15x) +7/75-2/(3x) I think you should find the lcd which would be 75 I think but then I get confused with the x's. Thanks 1 solutions Answer 148088 by josmiceli(9817)   on 2009-05-23 22:00:38 (Show Source): You can put this solution on YOUR website! This has to equal something to solve. As it sits, it's not even a problem. I'll pick a number for it to equal, say The LCD is Multiply both sides by check answer: OK

Equations/197478: please help me solve the following problem. I get very confused with the letters instead of numbers as denominators. 1/a+2/b+3/c 1 solutions Answer 148084 by josmiceli(9817)   on 2009-05-23 21:37:36 (Show Source): You can put this solution on YOUR website! It has to equal something to solve it, like: It can't be solved the way it is. For an equation with 3 unknowns, you need 2 more equations to solve it. If you know what any 2 of the unknowns are, you can solve for the remaining one. Multiply both sides by . The is the common denominator

Quadratic_Equations/197469: Can someone help me with this problem: x^2 + 3/2x = 3 1 solutions Answer 148080 by josmiceli(9817)   on 2009-05-23 21:26:29 (Show Source): You can put this solution on YOUR website! Complete the square The left side is a perfect square Take the square root of both sides and --------------------- I checked one solution with pencil&paper OK

Quadratic_Equations/196945: Find two numbers whose difference is 14 and whose product is a minimum. Be sure to use "let statement". 1 solutions Answer 147938 by josmiceli(9817)   on 2009-05-21 21:43:24 (Show Source): You can put this solution on YOUR website! Let the numbers be and The product is The function Is a minimum when The numbers are 7 and -7 check: The product is If I change the numbers very slightly, what happens to the product? This gives me more confidence answer is right

Equations/197106: This question is from textbook Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar. 1 solutions Answer 147921 by josmiceli(9817)   on 2009-05-21 19:25:59 (Show Source): You can put this solution on YOUR website! Let = length in cm Let = length in inches For a direct relation: where cm/in In terms of units only, cm = (cm/in) x in cm = cm The equation is

Average/197028: sir/madam hello i have a question In what ratio should water mixed with spirit costing $12 per liter so as to make a profit of 25% by selling the diluted liquid at $13.75 1 solutions Answer 147714 by josmiceli(9817)   on 2009-05-20 10:37:56 (Show Source): You can put this solution on YOUR website! I assume the diluted liquid is sold for $13.75 per liter Let =liters water in final mixture Let = liters of spirit in final mixture is the price of spirit in final mixture is what the spirit cost originally

Radicals/197047: Simplify: 1/9 -5/2. which is one over nine with negative 5/2 exponent. 1 solutions Answer 147713 by josmiceli(9817)   on 2009-05-20 09:35:44 (Show Source): You can put this solution on YOUR website! answer check answer: Multiply both sides by The left side is the same as and The right side is the same as OK

Polynomials-and-rational-expressions/196704: A chemist has 500 mL of a solution that is 60% acid. how much of a 30% solution must be added to make a solution that is 50% acid? 1 solutions Answer 147437 by josmiceli(9817)   on 2009-05-17 21:05:22 (Show Source): You can put this solution on YOUR website! given: ml of acid Let = ml of solution to be added = ml of acid added Multiply both sides by ml 250 ml of a 30% solution must be added check: OK

Word_Problems_With_Coins/196511: In Canada, $1 and $2 bills have been replaced by coins. When Marissa returned home to San Fran from a trip to Canada, she found that she had acquired 37 of these coins, with a total value of 51 canadian dollars. How many coins of each denomination did she have? 1 solutions Answer 147295 by josmiceli(9817)   on 2009-05-16 00:01:18 (Show Source): You can put this solution on YOUR website! Let = the number of $1 coins she has Let = the number of $2 coins she has given: Subtract the 1st equation from the 2nd And, since She has 23 $1 coins and 14 $2 coins check: OK OK

Quadratic_Equations/196540: Solve by completing the square: x^2 + 8x + 13 = 0 1 solutions Answer 147294 by josmiceli(9817)   on 2009-05-15 23:41:42 (Show Source): You can put this solution on YOUR website! The left side is a perfect square Take the square root of both sides and I'll check the 2nd result OK

Miscellaneous_Word_Problems/196339: respected sir, 1] After paying a 10 percent tax on all income over $3,000, a person had a net income of $12,000. What was the income before taxes? plz solve my doubt as soon as possible..waiting for yur reply........ thanks binita 1 solutions Answer 147253 by josmiceli(9817)   on 2009-05-15 00:03:15 (Show Source): You can put this solution on YOUR website! Let the income before taxes = The income after taxes will then be The problem says the income after taxes is , so The income before taxes was $13,000

Exponents-negative-and-fractional/196370: This question is from textbook algebra structure and method Can you please help me solve and leave in simplest radical form the following: (((x^2+8x= -16))) 1 solutions Answer 147250 by josmiceli(9817)   on 2009-05-14 23:51:47 (Show Source): You can put this solution on YOUR website! Using the complete the square method: The left side is a perfect square This is a double root at I'll plot the function

Exponents-negative-and-fractional/196373: This question is from textbook algebra structure and method Can you please help me solve the following by using the quadratic formula and leave irrational roots in the simplest radical form:2x^2-3x+1=0))) 1 solutions Answer 147246 by josmiceli(9817)   on 2009-05-14 23:39:21 (Show Source): You can put this solution on YOUR website! If you plug these values into equation, they both check OK

Travel_Word_Problems/196230: The track team ran to the cemetary at 8mph and jogged back home at 6mph. If the total trip took 7 hours, how far was it to the cemetary? 1 solutions Answer 147091 by josmiceli(9817)   on 2009-05-13 16:38:40 (Show Source): You can put this solution on YOUR website! Let = the one-way distance to the cemetary in miles If , then Multiply both sides by It is 24 miles to the cemetary

Equations/196219: Hello. I'm having some difficulty figuring out the following word problem, Can you help me? A bottle contains 650 mL of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that Jill added? 1 solutions Answer 147090 by josmiceli(9817)   on 2009-05-13 16:34:27 (Show Source): You can put this solution on YOUR website! If Jill drinks some of the 50% pure fruit juice, what she drinks has that same concentration and what is left has that same concentration What is left is: ml of 50% pure fruit juice She filled up the bottle, replacing what she drank with cheaper drink with ml of unknown concentration fruit juice. Let = the ml of pure juice in the cheaper drink In words, I need to write this equation: (ml of pure juice I end up with)/(total ml of punch) = 48% ml Now the question is: How much of the cheap drink added was water? There was ml in the bottle before she added it She added ml of pure juice, so The rest of the ml bottle must have been water ml And the concentration of the cheap drink was 37% is the answer check: does the fruit drink + water add up to 650? fruit drink: water: OK

Money_Word_Problems/196226: In the period of a year, an investor lost twice as much as he gained. If he originally had $10,000 , and he now has 8,000, what amount did he gain and what amount did he lose. My daughter and I have been working ont his but I am quite sure that we are not getting the right answer and we are totally stumped! I hope someone can help!!!! She is thinking gain of 2000 and loss of 4000- that seems wrong but who knows... I think our minds are blown at this point Please Help!! 1 solutions Answer 147086 by josmiceli(9817)   on 2009-05-13 15:54:00 (Show Source): You can put this solution on YOUR website! Let = the amount he gained Then will be the amount he lost given: He gained $2,000 and lost $4,000 check: OK - I think your daughter was right

Radicals/196224: Can someone please help me Simplify or reduce these Radicals Please help me I do Appreciate it 1 solutions Answer 147083 by josmiceli(9817)   on 2009-05-13 15:46:44 (Show Source): You can put this solution on YOUR website! What you have is the cube root of If I say , then I can also say

Mixture_Word_Problems/196090: Ten liters of a 4% acid solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? 1 solutions Answer 147068 by josmiceli(9817)   on 2009-05-13 10:34:11 (Show Source): You can put this solution on YOUR website! Let = liters of 10% acid solution needed In words: (liters of acid in final solution)/(total liters of solution) = 6% Multiply both sides by 5 liters of 10% acid solution are needed check answer: OK

Linear_Equations_And_Systems_Word_Problems/196141: A chemist has three samples of unknown mass. Each pair of the samples is balanced against the third sample and one of the three known masses. Find the unknown masses if the known ones are 9 g, 15 g, and 27 g. 1 solutions Answer 147054 by josmiceli(9817)   on 2009-05-13 02:42:03 (Show Source): You can put this solution on YOUR website! Let the unknown masses be , , and From those I get: Adding the 1st two: Adding the 2nd two: And from the 1st: The unknown masses are 18g, 12g, and 21g

Finite-and-infinite-sets/196165: Determine the vertex (h,k) of I am supposed to find the x intercept(s), y intercept(s) and graph the function. Thank you in advance for your help. 1 solutions Answer 147053 by josmiceli(9817)   on 2009-05-13 02:29:12 (Show Source): You can put this solution on YOUR website! Any value I pick for except will give me a value for which is greater than by some amount, so (4, -1) is a minimum vertex. The x-intercept is where The x-intercepts are (5,0) and (3,0) The y-intercept is where The y-intercept is at (0,15) Here's the plot:

Finance/196180: This question is from textbook Three-fifths of the men in chemistry class have beards and two-thirds of the women have long hair. If there are 120 men in the class and 46 are not in the above groups, how many men and how many women are there in the class? I have the answer but I can't figure out how to get it. I've done it a zillion different ways and get nothing close. 1 solutions Answer 147051 by josmiceli(9817)   on 2009-05-13 01:58:57 (Show Source): You can put this solution on YOUR website! If there are 120 men in the class, and 3/5 have beards, then have beards. The remaining do not have beards There are already 48 who are not in one of the bearded or long-haired groups, so 46 is too low. Was there a misprint or copy error?

Linear_Equations_And_Systems_Word_Problems/196171: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 45. The first car has consumed 40 gallons during that week, and the second car has consumed 20 gallons, for a total of 1400 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars that week? 1 solutions Answer 147050 by josmiceli(9817)   on 2009-05-13 01:49:16 (Show Source): You can put this solution on YOUR website! Let = the average mpg for the 1st car Let = the average mpg for the 2nd car given: (1) mi/gal (2) mi Multiply both sides of (1) by 20 and subtract (1) from (2) mi/gal and (1) mi/gal The 1st car got 25 mpg and the 2nd car got 20 mpg