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Recent problems solved by 'josmiceli'

josmiceli answered: 9642 problems
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Age_Word_Problems/487014: Linda is 3 more than 2 times the age of Jane. In five years the sum of their ages will be 28. What is Linda's age at present ? 1 solutions Answer 332910 by josmiceli(9645)   on 2011-08-27 21:55:54 (Show Source): You can put this solution on YOUR website! Let = Linda's age now Let = Jane's age now given: (1) (2) --------------------- From (1) (1) From (2) (2) Subtract (1) from (2) (2) (1) And, since (2) (2) (2) Linda's present age is 13

Travel_Word_Problems/486940: Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake? 1 solutions Answer 332870 by josmiceli(9645)   on 2011-08-27 18:28:34 (Show Source): You can put this solution on YOUR website! given: mi mi/hr -------------- hr It takes her 1 and a half hours to get to the lake

Sequences-and-series/486953: The question is to Multiply & Simplify the following problem 5 1/3 x 4 3/8. The answer is 70/3. The thing is I need to see the steps to know how to come to the answer. Can someone help. 1 solutions Answer 332864 by josmiceli(9645)   on 2011-08-27 18:17:16 (Show Source): You can put this solution on YOUR website! How many thirds are in ? There are thirds in So, in 5 1/3, there are thirds -------------- How many eighths are in ? There are eighths in So, in 4 3/8, there are eighths -------------- The numbers I need to multiply are now and , so Divide top and bottom by

Mixture_Word_Problems/486933: One solution contains 50% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to produce 10.5 liters of a 70% alcohol solution? How do i work this out? 1 solutions Answer 332860 by josmiceli(9645)   on 2011-08-27 18:08:36 (Show Source): You can put this solution on YOUR website! Let = liters of 50% alcohol solution needed Let = liters of 80% alcohol solution needed given: (1) = liters of alcohol in the 50% alcohol solution = liters of alcohol in the 80% alcohol solution (2) ------------------------ From (2): (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, from (1), (1) (1) (1) 3.5 liters of 50% alcohol solution are needed 7 liters of 80% alcohol solution are needed check answer: (2) (2) (2) (2) (2) OK

Probability-and-statistics/486922: Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a twelve or five occurs on the first roll, the player wins. What is the probability of winning on the first roll? 1 solutions Answer 332854 by josmiceli(9645)   on 2011-08-27 17:44:19 (Show Source): You can put this solution on YOUR website! There is just 1 way to get a 12 It is 6 and 6 There are 4 ways to get 5 they are: 4 and 1 1 and 4 2 and 3 3 and 2 So, with 2 die, there are 5 outcomes that you want on the first throw. The total of possible outcomes is The probability of winning on the 1st roll is

Quadratic_Equations/486883: f(x)=1/2x^2+6x+11 Use the vertex formula to find the vertex. Type answer as an ordered pair. Simplify. 1 solutions Answer 332826 by josmiceli(9645)   on 2011-08-27 15:58:15 (Show Source): You can put this solution on YOUR website! When the equation is in the form , the vertex is at Now put this value of into the equation to find , or . The vertex is at (-6, -7) Here is a plot:

Angles/486615: Kelly has a collection of nickels, dimes, and quarters with a total value of $7.40. There are four more nickels than dimes and twice as many quarters as nickels. How many of each coin is in her collection? 1 solutions Answer 332707 by josmiceli(9645)   on 2011-08-27 03:13:59 (Show Source): You can put this solution on YOUR website! Let = number of nickels she has Let = number of dimes she has Let = number of quarters she has given: (1) ( in cents ) (2) (3) -------------- This is 3 equations and 3 unknowns, so it's solvable From (2) (2) By substitution: (1) (1) (1) (1) (1) and, from (2) and, from (3), (3) (3) (3) She has 12 nickels, 8 dimes, and 24 quarters check: (1) (1) (1) (1) OK

Money_Word_Problems/486622: 2/3rds diveded by 100 1 solutions Answer 332703 by josmiceli(9645)   on 2011-08-27 02:59:12 (Show Source): You can put this solution on YOUR website!

Age_Word_Problems/486645: ‎"Four years ago, the sum of the ages of May and Ann was 45. Six years from now, twice Anne's age will be 28 years more than May's age then. How old is May now?? 1 solutions Answer 332702 by josmiceli(9645)   on 2011-08-27 02:53:57 (Show Source): You can put this solution on YOUR website! Let = May's age now Let = Ann's age now given: (1) (2) ---------------------------- (1) (1) (1) and (2) (2) (2) (2) ----------------- Add (1) and (2) (1) (2) and, since (1) (1) (1) May is 28 now ----------------- check: (2) (2) (2) (2) OK

test/486659: A store charges $49 for a pair of pants. This price is 40% more than the amount it costs the store to buy the pants. After a sale, any employee is allowed to purchase any remaining pairs of pants at 30% off the store's costs. How much would it cost an employee to purchase the pants after the sale? 1 solutions Answer 332700 by josmiceli(9645)   on 2011-08-27 02:42:13 (Show Source): You can put this solution on YOUR website! Let = the Store's cost given: --------------- 30% off the stores cost is The employee's cost after the sale is $24.50

Travel_Word_Problems/486672: If a boy run the length of football field in half a minute,how many times he cover this distance in 15minutes 1 solutions Answer 332698 by josmiceli(9645)   on 2011-08-27 02:34:33 (Show Source): You can put this solution on YOUR website! how may times does a half minute divide 15 minutes? He covers this distance 30 times in 15 minutes

Graphs/486445: Graph the function below by plotting the points. 3x-2y=-8 I can't seem to plot the correct points. 1 solutions Answer 332507 by josmiceli(9645)   on 2011-08-26 11:49:46 (Show Source): You can put this solution on YOUR website! First, let --------- Next, let --------- Now a good one to try is --------- You have the 3 points: (0,4), (-(8/3), 0), and (-2,1) --------- Here's a plot:

Evaluation_Word_Problems/486447: How do I write the decimal number .8 in words? 1 solutions Answer 332505 by josmiceli(9645)   on 2011-08-26 11:29:57 (Show Source): You can put this solution on YOUR website! is eight-tenths of a whole, which is

Mixture_Word_Problems/485684: A nut wholesaler sells a mix of nuts and cashews. the wholesaler charges 2.65 per pound for nuts and 4.90 per pound for cashews.the mix is to sell for 3.28 per pound. how many pounds of nuts and how many pounds of cashews should be used to make 125 pounds of mix 1 solutions Answer 332137 by josmiceli(9645)   on 2011-08-24 18:50:04 (Show Source): You can put this solution on YOUR website! Let = pounds of nuts to be used Let = pounds of cashews to be used 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) 90 pounds of nuts are to be used 35 pounds of cashews are to be used check: (2) (2) (2) (2)

Miscellaneous_Word_Problems/484630: amy and michelle have $29.40 between them and amys money is 3 quarters of michelles. how much money does each have? 1 solutions Answer 331580 by josmiceli(9645)   on 2011-08-22 19:53:39 (Show Source): You can put this solution on YOUR website! Let = Amy's amount Let = Michelle's amount given: (1) (2) ----------------- By substitution Amy has $12.60 and Michelle has $16.80 check: OK

Numeric_Fractions/484621: what is 17/8 divided by 4/9 1 solutions Answer 331576 by josmiceli(9645)   on 2011-08-22 19:45:32 (Show Source): You can put this solution on YOUR website!

Miscellaneous_Word_Problems/484598: Apples are collected in a basket for six people. One third, one fourth, one eight and one fifth are given to four people respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket? thank you very for the answer! :) 1 solutions Answer 331572 by josmiceli(9645)   on 2011-08-22 19:39:38 (Show Source): You can put this solution on YOUR website! Let = original number of apples given: Multiply both sides by There were 120 apples originally in the basket check:

Word_Problems_With_Coins/483428: Generalize: Write a rule that describes how to find the number of quarters for any number of nickels. 1 solutions Answer 330831 by josmiceli(9645)   on 2011-08-19 16:56:41 (Show Source): You can put this solution on YOUR website! Let = number of quarters Let = number nickels where Ignore any fractions of a quarter

Sequences-and-series/483262: How many numbers between 4000 an 5000 can be formed with the digit 2,3,4,5,6,7? How many of these numbers are divisible by 5? 1 solutions Answer 330734 by josmiceli(9645)   on 2011-08-19 05:15:31 (Show Source): You can put this solution on YOUR website! The first digit has to be since is the smallest number I can make with as the MSD There are ways to make numbers starting with ( allowing repetitions ) is the smallest Divisible by means the LSD is a . The number will always look like 4**5 so there are numbers divisible by

Rate-of-work-word-problems/482977: A bus takes 48 minutes to cover a certain distance when travelling at a speed of 50 km/hr. How much time will it take to cover the same distance when travelling at a speed of 30 km/hr. (Ans. 1 hour 20 minute) 1 solutions Answer 330534 by josmiceli(9645)   on 2011-08-17 23:25:31 (Show Source): You can put this solution on YOUR website! km The same distance at 30 km/hr takes hr hr hr and min

logarithm/482777: Log5a+log5b-log5c 1 solutions Answer 330433 by josmiceli(9645)   on 2011-08-17 16:59:45 (Show Source): You can put this solution on YOUR website! Make use of 2 rules 1st rule: 2nd rule: ------------------------ Using 1st rule: Now I have: answer ------------------- Suppose and compare with: which equals The log to the base 5 which equals 1 is 0 OK

test/482789: Complete the square. x^2 + 15x= 5 1 solutions Answer 330432 by josmiceli(9645)   on 2011-08-17 16:44:27 (Show Source): You can put this solution on YOUR website! Take 1/2 of the coefficient of the term, then square it, then add it to both sides Take the square root of both sides

real-numbers/482770: How do you find an irrational number between two other numbers -ex: 0.142 and 0.143 Thank you , Ashley 1 solutions Answer 330423 by josmiceli(9645)   on 2011-08-17 16:12:44 (Show Source): You can put this solution on YOUR website! I'll write the numbers given as fractions: ------------------ Multiply both sides by ------------------ If I add to top and bottom of . . . is less than , and, since both and are prime, the result is irrational

Age_Word_Problems/482759: The number of tickets sold each day for an upcoming performance of Handels Messiah is given by N(x)=-0.4x^2+12x+15 where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day? 1 solutions Answer 330421 by josmiceli(9645)   on 2011-08-17 15:50:33 (Show Source): You can put this solution on YOUR website! When a quadratic has the general form , the peak is at . when is a negative number. given: max = daily ticket sales will peak 15 days after concert was announced The number of tickets sold on that day will be --------------- You can check this by making sure that both and are smaller than

Complex_Numbers/482752: if sarah can type and spell check 6 pages of a manuscrpt in 22 minutee, how long wukk ut take her to type and spell check 27 pages? 1 solutions Answer 330417 by josmiceli(9645)   on 2011-08-17 15:34:44 (Show Source): You can put this solution on YOUR website! Let = her time in minutes to type and spell checking page Multiply both sides by Now let = her time for pages It will take her 99 min or 1 hour and 39 min

real-numbers/482610: one person working 1/4 time and one person works 1/3 time what remaining time will the last person have to work in order to make 40hr and it equals 5/12 1 solutions Answer 330353 by josmiceli(9645)   on 2011-08-17 09:58:20 (Show Source): You can put this solution on YOUR website! 1/4 time is 1/3 time is To find the remaining time find: What is this fraction of 40 hrs equal to? hrs Note that hrs = min The last person will have to work 16 hrs and 40 min to make a total of 40 hrs

Rectangles/482059: jane's garden was doubled when she added equal amount of meters to its length and width.if the original dimension where 9 m and 6 m,what would be the final dimension of the enlarged garden? 1 solutions Answer 330077 by josmiceli(9645)   on 2011-08-15 22:30:50 (Show Source): You can put this solution on YOUR website! The original area was m2 Double this area is m2 given: Use the quadratic formula The final dimensions are and = 12 m x 9 m check: OK

Word_Problems_With_Coins/482075: I have An even number of coins in my pocket. Exactly one-third of them are pennies. Exactly one-half of them are dimes. Record the value. 1 solutions Answer 330075 by josmiceli(9645)   on 2011-08-15 22:16:13 (Show Source): You can put this solution on YOUR website! I can call the number of coins if the number is even is the number of pennies and also the value of the pennies is the number of dimes is the value of the dimes The total value is = answer ----------------- If the number of coins is , The value of the pennies and dimes is cents, or $3.20

Exponents/482001: (-2) to the 5th power + (-5) to the 2nd power. I get really confused on how to do these. I have tried over and over again and I still can't get the right answer. 1 solutions Answer 330035 by josmiceli(9645)   on 2011-08-15 18:53:02 (Show Source): You can put this solution on YOUR website! You can always write these out the long way ( if the numbers aren't very big ) and look at them The main thing to notice is that there are an odd number of (-2)'s and an even number of (-5)'s Think of the (-2)'s grouped in pairs with one left over (-2)*(-2) this is positive (-2)*(-2) also positive (-2) this is negative So, you have (+) x (+) x (-) = (-) --------------------------- What if it was ? You would pair these up the same way, so you'd have a bunch of (+) x (+) x (+) . . . etc and one (-) left. that would give you a minus result -------------------- Back to your problem, then and OK?

Polynomials-and-rational-expressions/482003: factor this polynomial completely 1 solutions Answer 330031 by josmiceli(9645)   on 2011-08-15 18:40:01 (Show Source): You can put this solution on YOUR website!

Permutations/481932: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)? 2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0) 3. How many 4-digit numbers in terbary numeral system containing two 0, can be constructed? (number must not start with zero.) 1 solutions Answer 330030 by josmiceli(9645)   on 2011-08-15 18:35:17 (Show Source): You can put this solution on YOUR website! (1) There are 3 choices for each digit (2) There are 2 choices for the 1st digit (3) There are 3 choices for the 1st digit ( 1,2,or 3 )