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# Recent problems solved by 'josmiceli'

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 Trigonometry-basics/251514: can you graph 2sinx-cos21 solutions Answer 183270 by josmiceli(9645)   on 2009-12-19 17:09:15 (Show Source):
 Miscellaneous_Word_Problems/251479: How many revolutions per minute does a wheel make if its angular velocity is 120 pi radians per hour? a) 1 rpm b) 2pi rpm c) 1/60 rpm d) 3600 rpm e) 7200 rpm1 solutions Answer 183182 by josmiceli(9645)   on 2009-12-19 10:51:32 (Show Source): You can put this solution on YOUR website! radians/hr x (1 hr/60 min) = radians/min radians/min x (1 revolution/radians) = 1 rpm The answer is a)
 Miscellaneous_Word_Problems/251387: The bacteria E Coli are found in the human bladder. Suppose 2,000 bacteria are present at time t = 0. Then, t minutes later the number of bacteria present can be approximated by N(t) = 2000(3)t/12. How many bacteria will be present after 40 minutes? How long will it take before there are 100,000 bacteria present?1 solutions Answer 183084 by josmiceli(9645)   on 2009-12-18 18:14:37 (Show Source): You can put this solution on YOUR website! given: min ----------------- given: Take the log of both sides min
 absolute-value/248846: -|x+56|=-651 solutions Answer 181322 by josmiceli(9645)   on 2009-12-11 21:46:31 (Show Source): You can put this solution on YOUR website! Multiply both sides by
 Quadratic_Equations/248836: bill & jose's discount cinema sold adults' tickets for \$4.10 each and children's tickets for \$2.70 each. last tuesday, a total of \$331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.) 4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0. 1 solutions Answer 181319 by josmiceli(9645)   on 2009-12-11 21:36:34 (Show Source): You can put this solution on YOUR website!Let = number of adult tickets sold Let = number of children's tickets sold given: (in cents) (1) (2) Multiply both sides of (2) by and subtract from (1) (1) (2) and, since 65 adult tickets and 24 children's tickets were sold check: (1) OK
 Expressions-with-variables/248641: "solve the problem" A closed box with a square base is required to have a volume of 10 cubic feet. Express the amount of material used to make such a box as a function of the length x of a side of the square base? I tried to start with f(x)=10/x+x thanks for any help1 solutions Answer 181188 by josmiceli(9645)   on 2009-12-11 10:03:08 (Show Source): You can put this solution on YOUR website!Let = height Let = side of square base The volume is given: The area of the closed box is: m2 answer
 Quadratic_Equations/248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.1 solutions Answer 181176 by josmiceli(9645)   on 2009-12-11 09:21:36 (Show Source): You can put this solution on YOUR website!Let = length Let = width m2 given: The length is 120 m and the width is 75 m
 Coordinate-system/248642: identifiy the slope of the given by the equation y-5=-2(x+5). THEN identify one point on the line. 1 solutions Answer 181175 by josmiceli(9645)   on 2009-12-11 09:16:48 (Show Source): You can put this solution on YOUR website!First, get the equation into the form Add to both sides The slope is -2 To find a point on the line just randomly pick any value for either or I'll say Therefore, (-15,25) is a point on the line
 logarithm/248628: Please help really stumped! Approximately one-third of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function N(t)=310,000(1/2)^t After how many years will 60,000 bottles still be in use? .1 solutions Answer 181171 by josmiceli(9645)   on 2009-12-11 08:56:34 (Show Source): You can put this solution on YOUR website!The 1st part of the problem seems to say that 2/3 of the bottles are still in use after 1 year, but the formula seems to say that 1/2 of the bottles are still in use after 1 year. I'm stumped, too
 Miscellaneous_Word_Problems/248629: One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?1 solutions Answer 181169 by josmiceli(9645)   on 2009-12-11 08:36:40 (Show Source): You can put this solution on YOUR website!Faster maid's rate of working + slower maids rate = rate working together Let = slower maids rate of working in (1 house cleaned)/(time to clean it) then, Faster maid's rate = (note: 1/3 is: (1 house/(3 hours)) The slower maid can clean 1 house in 12 hours The faster maid's rate is: The faster maid can clean the house in 4 hours
 Proportions/248635: A 3-men crew can do a certain job in 3 weeks and 2 days, if we are to hire 4 men crew instead, with the same rate as the first crew, how long would it take the 4-men crew to do the same job? Note: a week contains 6 working days and a work day is 8 hours.1 solutions Answer 181168 by josmiceli(9645)   on 2009-12-11 08:26:58 (Show Source): You can put this solution on YOUR website!A good question to ask is: If 3 men can do a job in a certain time, how long will it take 1 man to do the job working alone? given: A 3-men crew can do a certain job in 3 weeks and 2 days Using logic, it will take 1 man 3 times as long to do the same job So, 1 man will take 9 weeks and 6 days to do the job (9 weeks) x (6 working days/week) = 54 working days 54 days + 6 days = 60 days (60 days) x (8 hours/day) = 480 hours ----------------------------- Using logic again, It will take 4 men 1/4 of the time that it takes 1 man to do the job hrs (120 hrs) x (1 day/8 hrs) = 15 days (15 days) x (1 week/6 days) = 2.5 weeks (.5 weeks) x (6 days/week) = 3 days It will take the 4 men 2 weeks and 3 days to do the job
 Travel_Word_Problems/248633: Trent can deliver his newspapers in 30 minutes. It takes Lois 20 minutes to do the same route. How long would it take them to deliver the newspapers if they work together?1 solutions Answer 181167 by josmiceli(9645)   on 2009-12-11 08:05:28 (Show Source): You can put this solution on YOUR website!Trent's rate of delivering papers plus Lois's rate of delivering papers equals their rate working together. In words: (1 route)/(Trent's time) + (1 route)/(Lois's time) = (1 route)/(time working together) Multiply both sides by minutes
 Miscellaneous_Word_Problems/248364: If each boy purchases a patty and each girl purchases a bun, they would spend a total of one cent more than if each boy purchased a bun and each girl purchased a patty. We know that the number of boys is greater than the number of girls. What is the difference between the number of boys and the number of girls?1 solutions Answer 181023 by josmiceli(9645)   on 2009-12-10 18:01:19 (Show Source): You can put this solution on YOUR website!Let = price of a bun in cents Let = price of a patty in cents Let = number of boys Let = number of girls given: subtract from both sides Subtract from both sides Divide both sides by answer
 Word_Problems_With_Coins/248373: Mike has 15 coins. One third of them are dimes; the rest are nickels. How much money does Mike have? How would I solve this problem?1 solutions Answer 181011 by josmiceli(9645)   on 2009-12-10 17:39:39 (Show Source): You can put this solution on YOUR website!Let = number of dimes he has Let = number of nickels he has given: He has 5 dimes and 10 nickels = total He has 100 cents, or \$1
 Polygons/248366: A 50-gon is a polygon with 50 sides. How could you find the sum of the angles in a 50-gon? What is the answer?1 solutions Answer 181002 by josmiceli(9645)   on 2009-12-10 17:31:34 (Show Source): You can put this solution on YOUR website!First, draw lines from each vertex to some common point inside the figure If I start going part way around the polygon, and look only at the triangles formed by the lines I just drew, I add up the interior angles of each triangle. If the angle in the center of the 1st triangle is , it's angles add ip to , and for the 2nd triangle, , and for the 3rd triangle, There are exactly of these triangles, so adding up all their angles, I get - (A + B + C + D + . . .) I will run out of letters, but there must be of them. Since they go completely around the interior point of the polygon, they add up to degress, so degrees is the answer degrees
 Polynomials-and-rational-expressions/246714: Factor the polynomial. x^3-y^91 solutions Answer 180291 by josmiceli(9645)   on 2009-12-07 21:27:31 (Show Source): You can put this solution on YOUR website! I'd like to check this Suppose and By my calculator: And my solution: OK
 Mixture_Word_Problems/246889: A standard deck of 52 playing cards consists of four different suits and 13 cards of different ranks in each suit. Four cards will be drawn at random without replacement from this deck. The probability that the four cards will be all the same suit is k times the probability that they will be all the same rank. What is the value of k?1 solutions Answer 180222 by josmiceli(9645)   on 2009-12-07 18:15:10 (Show Source): You can put this solution on YOUR website!If I want P1(4 cards same suit), I don't care what the 1st card is, so I'll call P1(1st card) = , which means I'm certain to get any one of the cards. Now I have that card, and it is a certain suit, say clubs. There are 12 clubs left, so my chances of getting another club is Now there are 11 clubs left , and ----------------------------------- There are 13 groups of 4 cards which are the same rank I don't care what the 1st card is I've got the 1st card. Say it is a 9 is P2(another 9) is P3(another 9) is P4(another 9) -------------------------------------- given: Multiply right side by
 Word_Problems_With_Coins/246221: Paula can have pennies, nickels, dimes, and quarters in her purse. The average value of coins in her purse is 20 cents. If she adds one more quarter to her purse, the average value of all the coins will be 21 cents. How many nickels does she have in her purse?1 solutions Answer 179869 by josmiceli(9645)   on 2009-12-05 23:20:33 (Show Source): You can put this solution on YOUR website!Let = amount of money in her purse Let = number of coins in her purse given: --------------------- The only 4 coins that give me 80 cents is 3 quarters and 1 nickel she has 1 nickel check: OK
 Quadratic_Equations/246206: a quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)=mx-5. What value(s) of the slope owuld make it a tangeant to the prabola The answer to the problem is m=-2, and m=101 solutions Answer 179850 by josmiceli(9645)   on 2009-12-05 20:59:31 (Show Source): You can put this solution on YOUR website!Is this question part of a calculus course? The answer is easiest with calculus. I want to know all solutions where Also, is a solution for and since I'll do a plot of the quadratic and 2 lines:
 Pythagorean-theorem/242965: The sides of a right triangle have lengths x – y, x, x + y, where x>y>0. Find the ratio of x : y. 1 solutions Answer 178009 by josmiceli(9645)   on 2009-11-27 11:57:36 (Show Source): You can put this solution on YOUR website! check nanswer: OK
 Equations/242990: Please help me solve this equation: 3x^2 - 2x = 12.1 solutions Answer 178007 by josmiceli(9645)   on 2009-11-27 11:36:37 (Show Source): You can put this solution on YOUR website! Subtract from both sides Now this is in the general form Now apply the quadratic formula where The answers are: and It's a difficult process, but you can plug these answers (one at a time) back into the original equation and see if they work
 Travel_Word_Problems/242993: My car gets 25 mpg for in-town driving, and 40 mpg on the highway. If I used 51 gallons on a recent 1800 mile trip, how many miles were highway miles?1 solutions Answer 178004 by josmiceli(9645)   on 2009-11-27 11:23:42 (Show Source): You can put this solution on YOUR website!Let = highway miles driven Let = in-town miles driven given: (1) mi (2) gallons --------------------- Note that (miles)/(miles/gallon) = (miles) x (gallons/mile) = gallons I have 2 equations and 2 unknowns, so it's solvable (2) Multiply both sides by (2) Now multiply both sides of (1) by and subtract (1) from (2) Plug this back into (1) 1400 miles were highway miles check answer: (2) OK
 Systems-of-equations/242018: It says to solve the problem by using the substitution method, elimination method or graphing method. 2(x-y)=3+x, x=3y+41 solutions Answer 177189 by josmiceli(9645)   on 2009-11-23 12:52:18 (Show Source): You can put this solution on YOUR website!I'll graph them and
 Polynomials-and-rational-expressions/242008: Hi I submitted these problems but no one has help me, can someone please help me I been out of school for 15 years and I am talking college algebra, here are the problems. 1. factor into product of 2 binomials: 5x(6x-5) -2(6x-5) This is what I got 5*x(6*x-5) – 12*x+10 2. factor completely, if the polynomial is a prime, state this: 49y^2-49w^2 This is what I got for the answer: 49*y^-49*w^2 1 solutions Answer 177182 by josmiceli(9645)   on 2009-11-23 12:00:59 (Show Source): You can put this solution on YOUR website!Note that is a factor in both terms answer ---------------------- And I can factor out the 's answer
 Trigonometry-basics/241987: Can you help me convert 36 degrees to a radian?1 solutions Answer 177171 by josmiceli(9645)   on 2009-11-23 10:41:47 (Show Source): You can put this solution on YOUR website!There are radians in a circle If you are given an angle in degrees, (number of degrees) x ( radians/ degrees) is your conversion formula degrees x radians/degree = radians answer There should be radians in a circle, and there are: OK
 Miscellaneous_Word_Problems/241985: bill has 10 coins which are quarters and dimes if his quarters were dimes and his dimes were quarters the total is 30 cents more how many quarters does he has?1 solutions Answer 177167 by josmiceli(9645)   on 2009-11-23 10:32:12 (Show Source): You can put this solution on YOUR website!Let = number of dimes he has Let = number of quarters he has given: (1) (2) --------------------------------------- Notice that on the right side, I make the quarters worth each and dimes worth each From (1): (1) And, substituting: (2) And, since He has 4 quarters check answer: (2) OK
 Miscellaneous_Word_Problems/241880: snookers lumber can convert logsinto either lumber or plywood. In a given day, the mill turns out thre times as mny units of plywood as lumber. It makes a profit of \$30 on a unit of lumber and \$40 on a unit of plywood. Howmany of each must be produced and sold in orer to make a profit of \$15,600?1 solutions Answer 177129 by josmiceli(9645)   on 2009-11-22 22:49:16 (Show Source): You can put this solution on YOUR website!Let = units/day of lumber needed Let = units/day of plywood needed given: (1) (2) --------------------------------------- Substitute (1) in (2) (2) = units/day of lumber needed = units/day of plywood needed
 Equations/241609: I have two question. write the equation of the line. Through (8,-9), perpendicular to 7x + 9y = -25 question #2 is through (-6,-7) parallel to -2x + 7y=26 Can you please Help?????1 solutions Answer 176975 by josmiceli(9645)   on 2009-11-22 12:12:52 (Show Source): You can put this solution on YOUR website!The rule is: if you have a line with slope = , then ANY line perpendicular to it will have slope = So, first you have to find the slope of your line. Get it into the form where = slope You can see that Now you have to find Divide both sides by Divide both sides by So, ANY line perpendicular to the given line will have this slope The line you're looking for passes through (8,-9) The formula is where( , ) is the given point Multiply both sides by answer Or, if you like, I'll plot both lines
 Quadratic_Equations/241607: Molly’s age is twice Anita’s. If the sum of the squares of their ages is 80, then translate these words into an algebraic equation to determine their ages?1 solutions Answer 176967 by josmiceli(9645)   on 2009-11-22 11:41:31 (Show Source): You can put this solution on YOUR website! By substitution, and, since Molly is 8 and Anita is 4
 Graphs/241600: How do you solve this type of absolute value equation? It has a number outside the absolute value symbol that would indicate the distributive property, but it isn't matching the answers in the back when I tried that. Here is an example: 3/5 |3x+2| +5 = y Would you try the 2 solutions, one positive and one negative? But I can't see how to do that when you don't know what x is. Thanks!1 solutions Answer 176966 by josmiceli(9645)   on 2009-11-22 11:37:23 (Show Source): You can put this solution on YOUR website!The way I approach it is to disassemble it, then put it back together I'll disregard the and the for now y can never be negative When , I'll plot it Now I'll factor in the , and plot that The plot is spread out, since is now less for every Now I'll add to the last plot Since there are 2 variables, the solution is the plot Do you want inequalities? You can get those from the plot, too
 Money_Word_Problems/241518: P dollars invested at interest rate r compounded annually for 5 years increases to an amount A = P(1 + r)^5. If an investment of \$1000 is to increase to an amount greater than \$1400 in 5 years, then the interest rate must be greater than what percentage?1 solutions Answer 176892 by josmiceli(9645)   on 2009-11-21 22:47:36 (Show Source): You can put this solution on YOUR website! Take the log base 10 of both sides The interest rate has to be greater than 7%