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# Recent problems solved by 'josmiceli'

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 Permutations/548939: How many ways can a 3-people committee be chosen from 10 twins(20 people)? Restriction: No twins can both exist in this committee. (e.g Assume A & B are twins, if A is in the committee, B cannot be in.)1 solutions Answer 357318 by josmiceli(9645)   on 2011-12-19 03:48:18 (Show Source): You can put this solution on YOUR website!The 1st choice is any one of 20 --------- There are 19 left, but one of them is the twin of the 1st choice, so there are 18 valid 2nd choices --------- There are 17 3rd choices, but one of these is the twin of the 2nd choice, so there are 16 valid 3rd choices
 Word_Problems_With_Coins/548879: Hakeem has \$2.35 in nickels and quarters. He has 23 coins altogether. How many coins of each kind does he have?1 solutions Answer 357279 by josmiceli(9645)   on 2011-12-18 22:08:10 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of quarters given: (1) (2) ( in cents ) ---------------- Multiply both sides of (1) by 5 and subtract (1) from (2) (2) (1) and, since (1) (1) There are 17 nickels and 6 quarters check: (2) (2) (2) OK
 logarithm/548913: how do i solve: log (base 2) 8^x = -31 solutions Answer 357277 by josmiceli(9645)   on 2011-12-18 21:57:17 (Show Source): You can put this solution on YOUR website!Get log base 2 on both sides of equation Note that , so , therefore
 Travel_Word_Problems/548824: Two cars leave a city at the same time, one trabels north and the other south. The car that is trabeling south averaged 12 miles/hr faster than the car traveling north. After 3 hours they are 396 miles apart. How fast is each car traveling?1 solutions Answer 357238 by josmiceli(9645)   on 2011-12-18 19:31:42 (Show Source): You can put this solution on YOUR website!Let the speed of the slower car = the speed of the faster car is They are moving apart at the sum of their speeds given: The car going south has speed of 72 mi/hr The car going north has speed of 60 mi/hr
 Polynomials-and-rational-expressions/548297: Revenue? a store has 270 washing machines R=309.37x -0.4xwith a raised 2 what is the answer. Please show how it is preformed.1 solutions Answer 356939 by josmiceli(9645)   on 2011-12-16 22:29:16 (Show Source): You can put this solution on YOUR website! The revenue is \$54,369.90
 Divisibility_and_Prime_Numbers/548318: a three digit number is divided by a 1 digit number the quotient is a 2 digit number what can you say about the dividend and the divisor ?1 solutions Answer 356937 by josmiceli(9645)   on 2011-12-16 21:48:50 (Show Source): You can put this solution on YOUR website!xxx / x = xx also, xxx = xx * x The 1-digit number can't be 1 If it is 2, then the 2-digit number must be 50 or greater. 3-digit must be 100 or greater ------------------------ If it is 3, the 2-digit number must be 34 or greater. 3-digit is 102 - 297 -------------- If it is 4, the 2-digit number must be 25 or greater. 3-digit is 100 -396 -------------- If it is 5, the 2-digit number must be 20 or greater. 3-digit is 100 - 495 ------------- If it is 6, the 2-digit number must be 17 or greater. 3-digit is 102 - 594 ------------- If it is 7, the 2-digit number must be 15 or greater. 3-digit is 105 - 693 ------------ If it is 8, the 2-digit number must be 13 or greater. 3-digit is 104 - 792 ------------ If it is 9, the 2-digit number must be 12 or greater. 3-digit is 108 - 891
 Coordinate-system/548303: what's he distance between this points (-3,4),(1,-1), i tried to get it solved with the formula, but it seems that in the book it's done in the wrong way thank for helping. 1 solutions Answer 356882 by josmiceli(9645)   on 2011-12-16 16:53:40 (Show Source): You can put this solution on YOUR website! Hope I got it
 Rate-of-work-word-problems/548284: How long will it take someone running at 12 mph to catch up to someone walking at 5 mph with an hour and a half head start? I'm thinking that I can set up a system of equations and figure it out from there, but I can't figure out how to set it up. help please! Thank-you!1 solutions Answer 356863 by josmiceli(9645)   on 2011-12-16 14:27:09 (Show Source): You can put this solution on YOUR website! mi The 5 mi/hr walker has a 7.5 mi head start Start a stopwatch when the 12 mi/hr runner starts It will now take them both the same amount of time until they meet. Call this time Runner's equation: (1) Walker's equation: (2) (2) (2) hrs It will take the runner 1 hr and 4 min to catch walker Really strange numbers, hope I got it right
 Numbers_Word_Problems/548275: A 2-digit number is 12 tims its tends digit. The sum of the digits is 12. What is the tens digit?1 solutions Answer 356856 by josmiceli(9645)   on 2011-12-16 13:48:23 (Show Source): You can put this solution on YOUR website!Let the 10's digit = Let the unit's digit = given: (1) (2) ------------------- (1) (1) Substitute (1) into (2) (2) (2) (2) and, since (2) (2) (2) The 10's digit is 4
 Miscellaneous_Word_Problems/548244: I have a tank that can be filled by a small pipe in 12 hours or by a large pipe in 8 hours. Suppose I start filling the tank with the large pipe for two hours. After that 2 hours is up, I use both pipes and continue filling the tank for a length of time, t. I then turn off the large pipe and it takes 2 more hours to fill the tank with just the small pipe. How long of a time is t?1 solutions Answer 356855 by josmiceli(9645)   on 2011-12-16 13:42:24 (Show Source): You can put this solution on YOUR website!In words: ( portion of the tank filled ) = ( rate of filling ) x ( time spent filling ) Rate using small pipe: ( 1 tank ) / ( 12 hrs ) Rate using large pipe: ( 1 tank ) / (8 hrs ) ---------------------------------- Using large pipe for 2 hrs: Portion of tank filled is There is of the tank left to be filled ---------------------------------- Using both pipes, add their rates of filling to get rate together Now the fraction of the tank left to be filled is ------------------ Using the small pipe for 2 more hrs hrs min is 2 hrs and 48 min I may have made a mistake, but I think the method is good
 Triangles/548260: is it possible to have a triangles with sides of 3,4 and 5 inches long1 solutions Answer 356835 by josmiceli(9645)   on 2011-12-16 12:26:05 (Show Source): You can put this solution on YOUR website!Yes. Any of the sides must be shorter than the sum of the other 2 sides. 5 is shorter than 3 + 4, and that is the worst case 3-4-5 happens to be a right triangle
 Equations/548227: This is a system of equation problem and I am not sure what I need to do as we are just starting them. Could you please help me out? The question is How many days before 17th August is it, if 50 days ago it was four times as many since March 30th? 1 solutions Answer 356814 by josmiceli(9645)   on 2011-12-16 10:37:03 (Show Source): You can put this solution on YOUR website!Let = number of days before August 17 ------------------------------------- given: days before August 17 it was days since March 30 ------------------------- = number of days between March 30 and August 17 --------------------- March 31 = 1 day April has 30 days May has 31 June has 30 July has 31 There are 16 days before August 17 I'll call it 18 days check: August 17 minus 18 days is July 31 July 31 minus 50 days is June 10 --------------------------- Is it 72 days since March 30? days --------------------------- I believe 18 days is the answer, but I lost 1 day somehow in my calculations
 Miscellaneous_Word_Problems/548143: if a person takes 10 hours to clean his room. It takes his mother 5 hours to clean his room. If that person starts cleaning a 1pm and his mother starts helping at 2pm, at what time will it take the room to be clean?1 solutions Answer 356735 by josmiceli(9645)   on 2011-12-15 23:29:20 (Show Source): You can put this solution on YOUR website!First find the fraction of the room that person cleans from 1 PM to 2 PM Person's rate = ( 1 room ) / ( 10 hrs ) Person cleans 1/10 of the room in 1 hr There is 9/10 of the room left to clean ------------------------------- Add their rates. Let = time for both to finish room With person and Mother both cleaning: Multiply both sides by hrs The room will be clean in hrs 4 hrs from 1 pm is 5 pm
 Rate-of-work-word-problems/548134: At 10:00 a.m. pipe A began to fill an empty storage tank. At noon, pipe A malfunctioned and was closed. Pipe B was used to finish filling the tank. If pipe A needs 6h to fill the tank alone and pipe B needs 8h, at what time was the tank full?1 solutions Answer 356733 by josmiceli(9645)   on 2011-12-15 23:17:15 (Show Source): You can put this solution on YOUR website!First find out how much of the tank by pipe A alone 10 AM to noon is 2 hrs Pipe A's rate is ( 1 tank )/( 6 hrs ) of a tank ------------------------ There is 2/3 of the tank left to fill Let = time in hrs for B to finish filling tank B's rate is ( 1 tank ) / ( 8 hrs ) Multiply both sides by The time used by both pipes is This is 7 hrs and 20 min to fill the tank
 Surface-area/548141: what is the volume of a squre1 solutions Answer 356728 by josmiceli(9645)   on 2011-12-15 22:57:16 (Show Source): You can put this solution on YOUR website!If I call the length of a side , the volume, of a cube is ------------ Note: A square has zero volume. A square has only area
 test/548133: solve by substitution 2x + 4y = 8 -2x + y = 121 solutions Answer 356726 by josmiceli(9645)   on 2011-12-15 22:54:41 (Show Source): You can put this solution on YOUR website!(1) (2) --------------- Divide both sides of (1) by (1) (1) ---------------- Substitute (1) into (2) (2) (2) (2) (2) -------------- And, since (2) (2) (2) (2) -------------- The solution is ( -4, 4 ) check answer: (2) (2) (2) (20 OK and (1) (1) (1) (1) OK
 Age_Word_Problems/547974: Lewis and Vernon are 152 miles apart. A car leaves Lewis headed toward Vernon, and another car leaves Vernon at the same time headed towards Lewis, the car leaving Lewis averages 10mph more than the other and they meet after 1hr and 36 min. what are the average speeds of the cars?1 solutions Answer 356668 by josmiceli(9645)   on 2011-12-15 18:17:42 (Show Source): You can put this solution on YOUR website!Let = speed of car leaving Vernon = speed of car leaving Lewis You can add their speeds to get speed of approach hrs 1 hr 36 min = hrs The speed of car leaving Vernon is 42.5 mi/hr The speed of car leaving Lewis is 52.5 mi/hr
 Word_Problems_With_Coins/547950: Hi, I tried this question out a bunch of times, but I can't find the answer. Here is the question: "Mark has 26 nickels, dimes and quarters, altogether totaling \$3.00. He has twice as many dimes as nickels. Find the number of each coin that he has" And I was taught not to do q for quarters, d for dimes, or n for nickels. here is an example. " A student has \$5.90 in dimes and quarters. There are 32 coins altogether. How many of each coin does the student have?" the let statements I would write would be: Let x= dimes Let 32-x= quarters. Sorry if this is confusing but I would like if you could try to help. You can do the q, d, or n, but if you could do it the way i learned it that would really help. 1 solutions Answer 356662 by josmiceli(9645)   on 2011-12-15 17:43:16 (Show Source): You can put this solution on YOUR website!I personally like the q,d,n method but I can do it the other way, too. There are 26 coins, and it is given: , so I now have , , so now I have n, 2n, 26 - 3n instead of n, d, and q Now I can say ( all in cents ) and, there are dimes, so and quarters There are 7 nickels, 14 dimes, and 5 quarters check answer: OK
 Evaluation_Word_Problems/547946: A farm stand owner mixes apple juice and ranberry juice. How much should he charge if he mixes 8L of apple juice for \$.45L with 10L of cranberry juice selling for \$1.08L?1 solutions Answer 356660 by josmiceli(9645)   on 2011-12-15 17:25:09 (Show Source): You can put this solution on YOUR website!Let = cost in cents of apple juice = cost in cents of cranberry juice liters total mixture The cost/liter of the mixture is 80 cents
 Rate-of-work-word-problems/547938: Ok i am not understanding this question . A sightseeing boat makes 4 trips each day. It travels 9 miles on each trip. How many miles does it travel in 6 days ?1 solutions Answer 356658 by josmiceli(9645)   on 2011-12-15 17:08:03 (Show Source): You can put this solution on YOUR website!the boat makes 4 trips/day ( 4 trips/day ) x ( 9 mi/trip ) = 36 mi/day ( 9 mi/day )x ( 6 days ) = 54 mi ------------------------- can you see how the units cancel? ( trips/day ) x ( mi/trip ) = mi/day Notice how the trips cancel
 absolute-value/547924: |3x|+7=10 I cant figure out the answer. I got 17/3 when I tried. Thank you1 solutions Answer 356657 by josmiceli(9645)   on 2011-12-15 16:58:19 (Show Source): You can put this solution on YOUR website!Subtract from both sides This is true only if or
 Polynomials-and-rational-expressions/547929: Help me to undestand how to solve this equation. r^5+25-10r. The answer I got is (r-5)^21 solutions Answer 356656 by josmiceli(9645)   on 2011-12-15 16:52:21 (Show Source): You can put this solution on YOUR website!Are you sure about the ? Your answer is good if the problem is
 Exponential-and-logarithmic-functions/547930: Please help me solve this equation: ( 1/4 * ( sqrt ( 6 ) * sqrt ( 3 ) )1 solutions Answer 356655 by josmiceli(9645)   on 2011-12-15 16:49:54 (Show Source): You can put this solution on YOUR website!There is nothing to solve. You mean "simplify"
 Average/547928: If I got 69 problems right on a test with 86 answers, what's my percentage?61 solutions Answer 356654 by josmiceli(9645)   on 2011-12-15 16:43:23 (Show Source): You can put this solution on YOUR website! 80% ( rounded to nearest % )
 Mixture_Word_Problems/547922: if u have to add or subtract to find and answer and be equivelent to 22 gallons whats the answer 21 gallons and 2 quarts over 9 gallons and 3 quarts1 solutions Answer 356653 by josmiceli(9645)   on 2011-12-15 16:41:34 (Show Source): You can put this solution on YOUR website!There are 4 quarts in a gallon, so 2 quarts = 1/2 gallon 3 quarts = 3/4 gallon
 decimal-numbers/547914: One problem on my homework is "It took 86 hours for joe kittinger To cross the Atlantic in his ballon, Rosie O'Grady, a distance of 3543 miles. What was the average speed of the ballon ? Round to the nearest tenth ." So i tried to divide 3543 by 86 and came up with 41.1976744 but it seems Kind of impossible to round to the nearest tenth . Can you help please ? Thank You ! 1 solutions Answer 356651 by josmiceli(9645)   on 2011-12-15 16:32:47 (Show Source): You can put this solution on YOUR website! ( rounded to nearest tenth ) This problem gets into the subject of " significant figures " Actually, not all the digits after the decimal point are really " significant ". Notice the hours is 86 and not 86.3, or 85.9, so 86 is as close as can be judged That is 2 significant figures. 3543 has 4 significant figures. They could have said 3543.27. That would have been 6 significant figures -------------------- The number of significant figures in the answer is determined by the least accurate number in the input data, so really only 2 figures in answer can be relied on. So 3 figures is just fine
 Graphs/547910: Write the equation for the following situation: In one U.S. town, the annual consumption, s, of sugar (in kg per person) can be estimated by adding 30 to half the years, t, since 1975. Then graph the equation and use the graph to determine the sugar consumption in the year 1991.1 solutions Answer 356650 by josmiceli(9645)   on 2011-12-15 16:19:53 (Show Source): You can put this solution on YOUR website!given: here's the plot: is plotted on the vertical axis is plotted on the horizontal axis Go to since 1975 + 16 = 1991 looks like about
 Polynomials-and-rational-expressions/547898: how do you solve 2-4i divided by 3+i1 solutions Answer 356648 by josmiceli(9645)   on 2011-12-15 16:12:00 (Show Source): You can put this solution on YOUR website! This isn't actually "solving". It is really "simplifying" Multiply top and bottom by Divide top and bottom by answer check the answer: multiply both sides by OK
 Percentage-and-ratio-word-problems/547852: A sold an article to B for a gain of 10%.B sold it to C for a gain of 15%.If C paid €25.30,how much did A and B pay for it?1 solutions Answer 356600 by josmiceli(9645)   on 2011-12-15 14:05:26 (Show Source): You can put this solution on YOUR website!Let = price A paid for it B got it for C got it for given: and A paid 20 for it B paid 22 for it
 Complex_Numbers/547853: What is (7+6i)-(4+2i)+(10+10i) in a + bi form?1 solutions Answer 356598 by josmiceli(9645)   on 2011-12-15 13:58:21 (Show Source):
 Rate-of-work-word-problems/547846: one pipe can fill a tank in 12 hours, and another can fill the tank in 8 hours. how long will it take both pipes working together to fill the tank?1 solutions Answer 356597 by josmiceli(9645)   on 2011-12-15 13:56:03 (Show Source): You can put this solution on YOUR website!Add their rates of filling 1st pipe's rate = ( 1 tank ) / ( 12 hrs ) 2nd pipe's rate = ( 1tank ) / ( 8 hrs ) Let = hrs to fill tank using both pipes Multiply both sides by It will take 4 hrs and 48 min with both pipes