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# Recent problems solved by 'josmiceli'

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 Mixture_Word_Problems/398250: how many ounces of pure water must be added to 75oz. of an 8% salt solution to make a 5% salt solution?1 solutions Answer 282206 by josmiceli(9697)   on 2011-01-22 20:17:38 (Show Source): You can put this solution on YOUR website! 45 ounces of pure water must be added
 Expressions-with-variables/398182: Barry us paid double-time for each hour over 40. Last week he worked 47 hour and earned 486, what is his hourly rate1 solutions Answer 282204 by josmiceli(9697)   on 2011-01-22 20:11:34 (Show Source): You can put this solution on YOUR website!He worked at double his rate for 7 hrs Let = his hourly rate his hourly rate is \$9/hr
 Complex_Numbers/398218: The answer to (4sqrt(-3))(-2sqrt(-18))1 solutions Answer 282201 by josmiceli(9697)   on 2011-01-22 20:00:13 (Show Source):
 Triangles/398245: doing special right triangles (30-60-90) - if you are given a 30-60-90 triangle and the hypotenuse is 12square roots of 3 and you are not given the other lengths of the legs but you need to find the short legs length ( short leg is x and long leg is y ) what do you do to find it ?1 solutions Answer 282200 by josmiceli(9697)   on 2011-01-22 19:50:30 (Show Source): You can put this solution on YOUR website!You know the ratios of the sides opposite the angles ar as follows: (30, 60, 90) = , , given: The hypotenuse is
 Money_Word_Problems/398239: Job A offers an annual salary of \$30,000 plus bonus of 1% of sales. Job B offers an annualsalary of \$24,000 plus a bonus of 2% of sales. How much would you have to sell to earn the same amount in each job?1 solutions Answer 282197 by josmiceli(9697)   on 2011-01-22 19:30:34 (Show Source): You can put this solution on YOUR website!Let = amount of sales Job A: Annual salary = Job B: Annual salary = ---------------------------- Set the expression equal to each other You would have to makel \$600,000 worth of sales
 Evaluation_Word_Problems/398223: a 10lb mixture of peanuts and cashews sells for \$5.32 per lb. The price of peanuts is \$3.60 per lb and the price of cashews is \$7.90 . How many lbs of each type is in the mixture1 solutions Answer 282177 by josmiceli(9697)   on 2011-01-22 18:21:00 (Show Source): You can put this solution on YOUR website!Let = pounds of peanuts in mix Let = pounds of cashews in mix given: (1) pounds (in cents) (2) Multiply both sides 0f (1) by , and subtract (1) from (2) (2) (1) and, since There are 6 pounds of peanuts in mix There are 4 pounds of cashews in mix check: OK
 Graphs/397996: Sarahs two student loans totaled \$12,000. One of her loans was at 6% simple interest and the other at 9%. After one year, Sarah owed \$855 in interest. What was the amount of each loan? I got x+y=12,00 but what is the next step????1 solutions Answer 281999 by josmiceli(9697)   on 2011-01-21 19:07:44 (Show Source): You can put this solution on YOUR website!If the 6% loan was for dollars, and the 9% loan was for dollars, then (1) (2) (after 1 year) (2) Multiply both sides of (1) by , then subtract (1) from (2) (2) (1) and, from (1), The 6% loan was for \$7500, and the 9% loan was for \$4500
 Permutations/397991: A baseball manager chooses his lineup 1-9. How many ways can he organize his lineup if the pitcher doe not hit in the first four? I did 9*8*7*6*6*5*4*3*2 is this correct?1 solutions Answer 281994 by josmiceli(9697)   on 2011-01-21 18:56:50 (Show Source): You can put this solution on YOUR website!If the top of the lineup is considered first, there are only 8 choices for 1st batter, then 7 choices, 6, and 5 So the number of choices for the top 4 positions are then the pitcher becomes available plus the 4 others left. , next here are 4 choices, then 3, 2, and 1 is the sum of all the choices Hope I got it right
 Polynomials-and-rational-expressions/397954: The are approximately 3 pounds of muscle for every 5 pounds of body weight of a certain animal. For a 105 pound animal, how much of the weight is muscle?1 solutions Answer 281962 by josmiceli(9697)   on 2011-01-21 17:06:43 (Show Source):
 Mixture_Word_Problems/397947: 1. Jacob mixes 8 liters of 4% acid solution with a 24% acid solution, which results in a 8% acid solution. Find the number of liters of 24% acid solution in the new mixture.  Identify the variable  Construct a table to organize the information  Show all of your work to solve the problem.  Write your answer as a complete sentence,  Check your answer. HELP PLEASE! Its due by monday and I can only do the first two problems! (Barley!) 1 solutions Answer 281961 by josmiceli(9697)   on 2011-01-21 17:02:07 (Show Source): You can put this solution on YOUR website!Hi, I can solve it in a straight forward algebra way. You can do all the fancy stuff they want. In words: (total liters of acid you end up with)/(total liters of solution you end up with) = 8% Let = liters of 24% solution needed given: acid in 4% solution = liters acid in 24% solution = liters ----------------------------------- liters 2 liters of the 24% acid solution are needed check answer: OK
 percentage/397941: The ticket price of the swimming pool is to be priced so that the average price is 4.4 . Students, unemployed, pensioners and children will receive a discount of 30%. How much the ticket price should be set.. if 40% of visitors are entitled to a discount?? i tried and i found 10...am i right ?1 solutions Answer 281948 by josmiceli(9697)   on 2011-01-21 16:34:55 (Show Source): You can put this solution on YOUR website!Let the regular price = Let = number of visitors Then the discounted price would be given: I get 5.
 test/397939: My other algebra 2 question is find the value of x. Area of the rectangle=40ft2. xft and (x+3). How do u solve it?1 solutions Answer 281943 by josmiceli(9697)   on 2011-01-21 16:15:45 (Show Source): You can put this solution on YOUR website!One side is ft The other side is ft given: ft2 ------------ Now you can use the quadratic formula: ft answer and (can't use the negative root) also, ft2
 Travel_Word_Problems/397935: a cyclist travels two and a half miles in 20 minutes. find the speed of the cyclist in miles per hour1 solutions Answer 281938 by josmiceli(9697)   on 2011-01-21 16:01:48 (Show Source): You can put this solution on YOUR website! mi/min x min/hr = mi/hr
 Mixture_Word_Problems/397853: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know it takes 24 h using both hoses. They also know that Bob's hose, used alone, takes 40% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?1 solutions Answer 281873 by josmiceli(9697)   on 2011-01-21 11:39:53 (Show Source): You can put this solution on YOUR website!Let = rate that Bob's hose alone fills pool (1 pool/ b hrs) Let = rate that Jim's hose alone fills pool (1 pool/ j hrs) Let = rate that both hoses fill pool (1 pool/ x hrs) Then (1) ----------------- given: (1 pool)/(24 hrs) (2) and, from (1) (1) These are 2 equations and 2 unknowns, so it's solvable By substitution: Multiply both sides by and, from (2), Bob's hose alone takes 38.4 hrs Jim's hose alone takes 64 hrs ------------------------- check answer: (1) I'll just convert to decimals: close enough
 Probability-and-statistics/397843: Maximum numbers that can be formed using all the 4 digits 6 4 8 1 without repetition and which is divisible by 91 solutions Answer 281864 by josmiceli(9697)   on 2011-01-21 11:03:06 (Show Source): You can put this solution on YOUR website!In order to be divisible by , the sum of the digits must also be divisible by So, no arrangement of these digits is divisible by
 Polynomials-and-rational-expressions/397833: Factor the expression: x^2 - 7x + 101 solutions Answer 281850 by josmiceli(9697)   on 2011-01-21 10:30:13 (Show Source): You can put this solution on YOUR website!You can do this by completing the square. Now both sides are a perfect square Take the square root of both sides (1) and (2) -------------- solving: (1) (1) and (2) (2) (2) ------------------ Then therefore
 Travel_Word_Problems/397477: if a vehicle travels 440 miles in 7.7 seconds how fast is it going1 solutions Answer 281676 by josmiceli(9697)   on 2011-01-20 16:18:58 (Show Source): You can put this solution on YOUR website!I'll convert to miles/hour In words: (miles/seconds)*(seconds/minute)*(minutes/hour) = miles/hour miles/hour
 Parallelograms/397279: "If the diagonals of a rhombus are 7cm and 12cm, What is the area?" I have no earthly idea even how to set this up in any form of an equation, ive been out of school for two weeks and im sick at home,so i havent had any help on this.1 solutions Answer 281610 by josmiceli(9697)   on 2011-01-20 11:09:48 (Show Source): You can put this solution on YOUR website!A rhombus is a parallelogram with all 4 sides equal. The diagonals intersect at right angles, and they bisect each other. If you think of he rhombus as 2 triangles reflected about the 7 cm diagonal, then the altitudes of these triangles are 12/2 = 6 cm long. The area of 1 of these triangles is (1/2)x7*6 = 21 cm2 Twice this area 2 x 21 = 42 cm2 is the area of the rhombus Hope it's right
 Money_Word_Problems/397281: there is \$5.40 and there is 27 coins how many quater and dimes are there that make up the 5.40?1 solutions Answer 281595 by josmiceli(9697)   on 2011-01-20 10:29:23 (Show Source): You can put this solution on YOUR website!Le = number of dimes Let = number of quarters given: (1) (2) (in cents) Multiply both sides of (1) by , and subtract (1) from (2) (2) (1) and, since, There are 9 dimes and 18 quarters check answer: (2) OK
 Square-cubic-other-roots/397277: Use rational exponents to simplify. Complete the expression. 1 solutions Answer 281594 by josmiceli(9697)   on 2011-01-20 10:21:07 (Show Source):
 Probability-and-statistics/397264: How do I find the domain of f(x)=ln(ln(x))without using my calculator?1 solutions Answer 281593 by josmiceli(9697)   on 2011-01-20 10:14:01 (Show Source): You can put this solution on YOUR website!First find the domain of can never be negative or zero. This is true because there is no log to any base that can give me a (-) or (0). can however be any (+) number The natural log of The x's is (-), but you can't take the natural log of those (-) numbers, so is the domain of f(x) = ln(ln(x)) Hope I got it
 Square-cubic-other-roots/397257: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. Type an exact answer, using radicals as needed.1 solutions Answer 281584 by josmiceli(9697)   on 2011-01-20 09:50:49 (Show Source):
 Problems-with-consecutive-odd-even-integers/397247: if one number is 4 times as large as another number and the smaller number is decreased by 2 , the result is 14 less then the larger number. What is the two numbers. The numbers i got were -6 and -12. is this right1 solutions Answer 281579 by josmiceli(9697)   on 2011-01-20 09:25:11 (Show Source): You can put this solution on YOUR website!I'll call the numbers and given: (1) is the larger number, is the smaller (2) By substitution: (2) and, from (1), The numbers are 16 and 4
 Reduction-of-unit-multipliers/397190: A bricklayer charges \$8 per square foot to lay a patio. How much would it cost for the bricklayer to lay a 12-foot-Χ-16-foot patio? 1 solutions Answer 281551 by josmiceli(9697)   on 2011-01-20 05:17:22 (Show Source): You can put this solution on YOUR website! ft2 The bricklayer charges \$1,536
 Travel_Word_Problems/397193: train travelling @ 40kph leaves 10 mins before train travelling @ 60kph.when will they meet??1 solutions Answer 281550 by josmiceli(9697)   on 2011-01-20 05:14:47 (Show Source): You can put this solution on YOUR website!How far does the 1st train get in 10 min? (10 min is 1/6 of an hour) km Now if the 2nd train has to travel km to meet the 1st train, then the 1st train has to travel km They will both travel for the same time period 1st train: (1) 2nd train: (2) Substitute (2) in (1) hr They will meet 20 min after the 2nd train leaves check answer: (2) km and (1) OK
 Money_Word_Problems/397195: An executive invested \$18,000 in two accounts, one a cash on reserve that yielded 7% simple interest, and the other a long-term certificate paying 11% simple interest. At the end of one year, the two accounts had earned her a total of \$1540. How much had she invested in each account? How do i set this up as an algebra equation?1 solutions Answer 281549 by josmiceli(9697)   on 2011-01-20 04:53:26 (Show Source): You can put this solution on YOUR website!Let = amount invested @ 7% Let = amount invested @ 11% given: (1) (2) ---------------------- Multiply both sides of (1) by (1) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and, from (2), \$11,000 was invested @ 7% \$7,000 was invested @ 11%
 Money_Word_Problems/397188: Cicily Montague, and author from Paris, sells the movie rights to her book and will recive 600,000 euros at the end of each quarter for the next 4years. Assuming that money is worth 6% compounded quarterly, what is the value of the movie rights? I have the answer in the back of the book \$847.875.843 but i am not coming up with that as the answer i think i am setting the problem up wrong. Please Help!1 solutions Answer 281548 by josmiceli(9697)   on 2011-01-20 03:57:48 (Show Source): You can put this solution on YOUR website!Hi, The regular compound interest rate formula which is does not work here because It uses , which is a lump of money that gets compounded over time and gives as a result. I found a formula on the internet that is used for periodic deposits in a bank, and the deposits are compounded at a certain interst rate. The formula they gave is: is the regular deposit is the compound rate of interest is number of times per year interest is compounded is the number of years is amount accumulated after years ------------------------------------------------------------ For this problem: = 600000 euros = .06 = 4 (quarterly) = 4 years ----------------------- I don't get the answer you're supposed to, either, so I made a mistake, or this isn't the right formula.
 Radicals/397091: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.1x^2-0.5x+6.47, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycles. 1 solutions Answer 281505 by josmiceli(9697)   on 2011-01-19 22:03:16 (Show Source): You can put this solution on YOUR website! To make math easier, I'm going to say so, will be in dollars In a quadratic equation the minimum occurs at where the equation is of the form dollars 250 bikes must be made to minimize cost at \$584.50
 Equations/397057: Train A and B are traveling in the same direction on parellel tracks. Train A is traveling 80 miles per hour and train B is traveling at 88 miles per hour. Train A passes a station at 6:25 P.M. If train B passes the same station at 6:40 P.M., at what time will train B catch up to train A? (Can you inclede in the answer, either A.M. or P.M, thanks)! 1 solutions Answer 281490 by josmiceli(9697)   on 2011-01-19 21:40:49 (Show Source): You can put this solution on YOUR website! Train B passes the station at 6:40 PM. I know that train A passed the station 15 min ago at 6:25 PM. In 15 min, train A has travelled mi Let = distance train B has to go to catch train A. Then is the distance train A must go to meet B. For train A: For train B: Substitute in 2nd equation into 1st equation hr train B will catch train A in 2.5 hrs after train B passed station. 6:40 PM + 2.5 = 9:10 PM
 Average/397062: jerod has quiz scores of 90, 88, 72, and 83. What does he need tl score on his next quiz so that he has an average quiz score of 88?1 solutions Answer 281478 by josmiceli(9697)   on 2011-01-19 21:14:00 (Show Source): You can put this solution on YOUR website!Let = score of next test solve for
 Linear-systems/397052: solve the linear system: x-2y=-5 , -3x+y=0 I need step by step help.1 solutions Answer 281476 by josmiceli(9697)   on 2011-01-19 21:11:23 (Show Source): You can put this solution on YOUR website!Hi, (1) (2) ------------- The most important rule is: "What ever you do to one side of an equation, you must do to the other side." Multiply both sides of (2) by then add the equations (1) (2) (notice that ) Now substitute this value in (1) (1) Subtract from both sides Divide both sides by The solution is (1,3)