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# Recent problems solved by 'josmiceli'

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 Travel_Word_Problems/674406: At noon, a jetliner left New York for Los Angeles 4000 kn away. At 1:00 P.M. New York time a jetliner, flying 10 km/hr faster than the first one, left Los Angeles for New York. The planes passed each other at 3:00 P.M.New York time. Find the speed of the planes. 1 solutions Answer 419217 by josmiceli(9664)   on 2012-10-31 17:54:49 (Show Source): You can put this solution on YOUR website!Let the speed of the NY_LA plane = The NY-LA plane got a head start of km The planes were then km apart Let = distance in km that the NY-LA plane has to travel until it meets the LA-NY plane ---------------------- NY-LA plane's equation: (1) ( note that time starts at 1 PM and ends at 3 PM ) LA-NY plane's equation: (2) ------------------------------ Substitute (1) into (2) (2) (2) (2) (2) (2) The speeds of the planes are: NY-LA - 796 km/hr LA-NY - 806 km/hr ----------------- check answer: (1) (1) (1) km and (2) (2) (2) (2) (2) km OK
 percentage/674390: The Carcharodon megaladon shark of the Miocene ere is believed to have been about 12 meters long.The modern great white shark is about 6 meters long.Write the change in length of these longest sharks over time as a percent increase or decrease. 1 solutions Answer 419208 by josmiceli(9664)   on 2012-10-31 17:17:14 (Show Source): You can put this solution on YOUR website!The change in length is m The percent decrease in length is 50% decrease
 Linear_Algebra/674383: how do you substitute: 3u + 8 = 4v 24v = 6 - 3u1 solutions Answer 419207 by josmiceli(9664)   on 2012-10-31 17:13:29 (Show Source): You can put this solution on YOUR website!(1) (2) ------------------ (2) (2) Substitute in (2) in place of in (1) (1) (1) (1) Plug this back into (1) (1) (1) (1) (1)
 Linear-equations/674382: Which equation represents a line that passes through the points (-3,2) and (1,10)1 solutions Answer 419205 by josmiceli(9664)   on 2012-10-31 17:05:45 (Show Source): You can put this solution on YOUR website!Use the general point-slope formula --------------- check answer: (-3,2) (1,10) OK
 percentage/674371: Mr.Simmons owns a hardware store and typically marks up merchandise by 28% over warehouse cost.How much would he charge for a hammer that costs him \$13.50?1 solutions Answer 419203 by josmiceli(9664)   on 2012-10-31 17:00:00 (Show Source): You can put this solution on YOUR website! He charges \$17.28
 Rate-of-work-word-problems/674348: If 7 guys take 8 days to build a trench, how many guys will it take to build the trench in 1/2 day?1 solutions Answer 419201 by josmiceli(9664)   on 2012-10-31 16:57:01 (Show Source): You can put this solution on YOUR website!7 guys take 8 days for 1 trench It takes 8 times as may guys to do 1 trench in 1/8 of that time, or 1 day, so It takes 56 guys 1 day to do 1 trench To do it in 1/2 that time will take twice as many guys 112 guys can do 1 trench in 1/2 day
 Rate-of-work-word-problems/674345: anthony can build a wall in 10 hours. his helper can do it in 15 hours. how long will it take them working together, assuming that each works at his own rate? 1 solutions Answer 419170 by josmiceli(9664)   on 2012-10-31 15:16:45 (Show Source): You can put this solution on YOUR website!Add their rates of working Anthony's rate is ( 1 wall ) / ( 10 hrs ) Helper's rate is ( 1 wall ) / ( 15 hrs ) Let = time in hours for them to do it together Multiply both sides by It takes them 6 hrs working together
 Miscellaneous_Word_Problems/674341: Find two consecutive positive integers such that the sum of their squares is 145.1 solutions Answer 419169 by josmiceli(9664)   on 2012-10-31 15:12:04 (Show Source): You can put this solution on YOUR website!Let the consecutive integers be and given: I can see that this is is the positive answer The numbers are 8 and 9 check: OK
 Quadratic_Equations/674342: What is the y intercept of the function y=4x²-1?1 solutions Answer 419168 by josmiceli(9664)   on 2012-10-31 15:05:46 (Show Source): You can put this solution on YOUR website!The y-intercept is where ,so the answer is (0,-1)
 Expressions-with-variables/674338: A goes down river 9 miles, then back upriver for 3 miles. Rate of river current is 6 mph. How long does it take A to go the 12 miles? I have 9/x-6 for time downstream, and 3/x-6 for time upstream, but don't know how to set up the equation. (Answer is 1 hour.)1 solutions Answer 419167 by josmiceli(9664)   on 2012-10-31 15:03:53 (Show Source): You can put this solution on YOUR website!let = A's rate in still water ( no current ) Going downstream, his rate is Going upstream, his rate is --------------- Going downstream, Going upstream, ------------------- You need to find -------------------- I think you're missing his rate in still water Can't solve without it.
 Polynomials-and-rational-expressions/674037: tring to figue out how to do this problem (3x to the 2nd power-6x+8)+(2x to the 2nd power+2x-6) can you show me how to do this problem 1 solutions Answer 419164 by josmiceli(9664)   on 2012-10-31 14:49:52 (Show Source): You can put this solution on YOUR website!Is this it? If so, you need to combine the like terms and then add everything answer
 percentage/674047: In June, Lindsey purchased an airfare ticket for \$450 from Dallas to New York City. In July, the airline reduced the fare to \$360. What percent is the reduction? (Please solve in percent decrease formula, i got 92% but im not sure i was absent yesterday and this is my make up work)1 solutions Answer 419013 by josmiceli(9664)   on 2012-10-30 21:27:18 (Show Source): You can put this solution on YOUR website!The dollar amount of the reduction is The percent reduction is 20%
 Travel_Word_Problems/673883: Two trains, one express and one local, leave Indianapolis at noon and head for Chicago 220 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of the local. Find the speed of each train1 solutions Answer 418921 by josmiceli(9664)   on 2012-10-30 16:46:07 (Show Source): You can put this solution on YOUR website!Let = the speed of the local train Let = the travel time for the local train ----------- Equation for local train: (1) Equation for express train: (2) ---------------------- (2) Substitute (1) into (2) (2) (2) (2) (2) The express train's speed is 110 m,i/hr The local train's speed is 55 mi/hr check answer: (1) (1) (1) and (2) (2) (2) OK
 Square-cubic-other-roots/673723: I am really struggling when the 'power' is either a fraction, a decimal or a square root. For example 5^1.9 or 4^square root of 6. 5^1 would be 5^2 would be 25, so logic would tell me since 1.9 is slightly less than 2, the number would be less than the 25, but I have no idea how to work these. I know in the other example the square root of 6 is 2.44, so that should tell me that it would be equal to 4^2.44, but again, while 4^2 is 16, I think the answer would be greater than that, but do not know how to do the math! All help would be tremendously appreciated. I have gone back to school after a 35 year absence and math is giving me problems.1 solutions Answer 418849 by josmiceli(9664)   on 2012-10-30 12:30:38 (Show Source): You can put this solution on YOUR website!Basically, the answer is that you follow the normal rules that you know when dealing with whole numbers. You are right that it's hard to get a feel for what something like means, but all you can do is apply rules that you know, like (1) and (2) and (3) --------------------- You can always convert decimals to fractions, too, if it helps , and using rule (1) backwards, You could do this on a calculator that only has +,-,x, and square root like the one I'm using --------------------- If you have , follow rule (3) Note that , so you have The 1000th root of 3 is probably a little more than 1, so the fraction 1/1.0+ should be a little less than 1 ---------------------- Hope some of this helps
 Average/673585: what is nCn. please i need help. my math teacher hates me!!!!!!!!!!!!!!!!!!!!!!!!!!1 solutions Answer 418723 by josmiceli(9664)   on 2012-10-29 22:27:56 (Show Source): You can put this solution on YOUR website!With combinations, you don't care about the order of the things being counted. Suppose is the combination of 10 things taken 10 at a time. There is only 1 of these, since you're looking at all 10 of the things.The same is true no matter what is
 Rate-of-work-word-problems/673552: Justin starts at a point 26 miles from home and runs toward home at 6 mph. Rhonda starts from home 1.3 hours later and pedals toward Justin at 8 mph. How long has Justin been running when he meets Rhonda? How far from home do they meet?1 solutions Answer 418717 by josmiceli(9664)   on 2012-10-29 22:04:31 (Show Source): You can put this solution on YOUR website!Justin gets a head start of mi They are then mi apart ---------------- Let = the distance Rhonda now has to cover to meet Justin. = distance Justin now has to cover Let = the time it now takes them to meet ------------ After Justin's head start: Justin's equation: (1) Rhonda's equation: (2) ------------- Substitute (2) into (1) (1) (1) (1) hrs and (1) (1) (1) (1) Justin has been running for hrs Rhonda travels mi from home where they meet
 Linear_Equations_And_Systems_Word_Problems/673452: a health club charges a one time fee of \$99 and then \$39 per month for membership. Let m represent the number of months, and let C represent the total amount of money spent on the health club membership write an equation that relates m and C1 solutions Answer 418692 by josmiceli(9664)   on 2012-10-29 19:51:42 (Show Source):
 Numeric_Fractions/673457: Please help me solve this problem 9 over 14 x 7 over 9 1 solutions Answer 418677 by josmiceli(9664)   on 2012-10-29 18:47:56 (Show Source): You can put this solution on YOUR website! Numbers on the bottom can be moved around when multiplying, as long as they stay on the bottom, so you can rewrite it this way: Note that , so now you have You can rewrite this as: and again as: and since
 Travel_Word_Problems/673461: Jim was driving to work.He drives 50 miles in 60 minutes.How fast was he going?1 solutions Answer 418675 by josmiceli(9664)   on 2012-10-29 18:42:24 (Show Source): You can put this solution on YOUR website!60 minutes = 1 hr so, he was going 50 mi/hr
 Travel_Word_Problems/673077: During the first 6 hours of a trip, you average 44 mi/h. During the last 4 hours of your trip, your average 50 mi/h. What is your average speed for the entire trip?1 solutions Answer 418476 by josmiceli(9664)   on 2012-10-28 22:13:27 (Show Source): You can put this solution on YOUR website!Average speed is always ( total distance ) / ( total time ) for 1st 6 hrs: mi -------------- For the last 4 hrs: mi -------------- The average speed is: mi/hr
 Linear-equations/673083: What is x and y in this problem 3x +8y =1011 solutions Answer 418475 by josmiceli(9664)   on 2012-10-28 22:06:52 (Show Source): You can put this solution on YOUR website!It can't be solved You need 1 equation if you have 1 unknown You need 2 equations if you have 2 unknowns You need 3 equations if you have 3 unknowns You need 4 equations if you have 4 unknowns You need 5 equations if you have 5 unknowns etc.
 Square-cubic-other-roots/673041: For some reason this still isn't clicking .... homework problem finding the square root sets: 3(x+3)^2 = 36 Hellppp :(1 solutions Answer 418448 by josmiceli(9664)   on 2012-10-28 20:58:41 (Show Source): You can put this solution on YOUR website! I can say Take the square root of both sides (1) --------------------- Now go back to (1) and take the negative square root of the right side (1) --------------------- You can plug both these results back into the original problem
 Rectangles/672940: The area is 4700 square feet. The length is twice the width minus six feet. I need help setting up the problem and solving it.1 solutions Answer 418409 by josmiceli(9664)   on 2012-10-28 16:41:18 (Show Source): You can put this solution on YOUR website!Let The width = ft You are given that the length = ft Let area = = length x width ft2 You are given that ft2 Divide both sides by ( ignore the negative square root of 9409 ) The width is 50 ft and the length is 94 ft ------------------- check: OK
 test/672830: Josh was in charge of bringing bags of chips to a homecoming party the doritos cost \$1.79 per bag and the cheetos cost \$2.01 per bag he bought 15 bags of chips together how many of each type did he buy if he spent a total of \$28.17?1 solutions Answer 418334 by josmiceli(9664)   on 2012-10-28 11:49:02 (Show Source): You can put this solution on YOUR website!Let = bags of Doritos bought Let = bags of Cheetos bought given: (1) (2) --------------------------- (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and (1) (1) 9 bags of Doritos were bought 6 bags of Cheetos were bought check: (2) (2) (2) OK
 Travel_Word_Problems/672809: During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads?1 solutions Answer 418330 by josmiceli(9664)   on 2012-10-28 11:31:02 (Show Source): You can put this solution on YOUR website!Let = his rate on the freeway = his rate on side roads Let = time for both ---------- On side roads: (1) On freeway: (2) --------------- (1) Substitute (2) into (1) (1) (1) (1) -------------- On side roads: (1) (1) (1) (1) (1) His rate on side roads is 45 mi/hr check: (2) (2) (2)
 Evaluation_Word_Problems/672812: The following formula models the number of prison inmates, P, in thousands who are in US prisons x years after 1980. P=2x^2+20x+328 Find the first year in which the population of US prisons was approximately 440,000 people. Thank you for your help1 solutions Answer 418321 by josmiceli(9664)   on 2012-10-28 11:00:01 (Show Source): You can put this solution on YOUR website! is in thousands, so Complete the square The year is 1984
 test/672714: 3{ [4 (x-1) +5] - [ 2 ( 2x-1) +5]} i know "pemdas", but i cant figure this out. I dont get when to apply the distributive law, and how this cancles out. I guess the order us messing me up. 1 solutions Answer 418269 by josmiceli(9664)   on 2012-10-27 22:02:32 (Show Source): You can put this solution on YOUR website!Always work from the inside out One check that you can do is just count the number of ( 's and the number of ) 's -they should be the same. In this problem, they both are 5. ------------ first step: Now simplify: The doesn't really need to be in parentheses at this point, also, do the subtraction using distributive law. Note that it doesn't matter what is, the result is still
 Linear_Equations_And_Systems_Word_Problems/672706: Julio has found that his new car gets 36 miles per gallon on the highway and 31 miles per gallon in the city. He recently drove 397 miles on 12 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?1 solutions Answer 418266 by josmiceli(9664)   on 2012-10-27 21:46:44 (Show Source): You can put this solution on YOUR website!( miles/gallon ) x ( gallons used ) = miles driven Let = gallons used on highway Let = miles driven on highway On highway: (1) In city: (2) --------------------------- (2) (2) Substitute (1) into (2) (2) (2) (2) and (1) (1) He drove 180 mi on the highway he drove 217 mi in the city ----------------------- check: (2) (2) (2) (2) (2) OK
 Rational-functions/672676: I am stumped.. when I solved the equation there was no need for the square root method. But that is what my hmwrk question is calling for. Will you please break this problem down for me so that I can see where I am messing up? (x-3)^2 = 251 solutions Answer 418255 by josmiceli(9664)   on 2012-10-27 20:15:49 (Show Source): You can put this solution on YOUR website! Both sides are a perfect square So you can take the square root of both sides to simplify it. Add to both sides ------------ check the answer: OK
 test/672642: An oil tanker can be emptied by a main pump in 4hours an auxiliary pump can empty it in 9 hrs if the main pump is started at 9 am when should the auxiliary pump be started so the tanker will be empty by noon?1 solutions Answer 418244 by josmiceli(9664)   on 2012-10-27 18:09:03 (Show Source): You can put this solution on YOUR website!From 9 AM to noon is 3 hrs Let = number of hours the main pump is used pumping by itself = number of hours that both pumps are pumping --------------- The main pump's rate of pumping is ( 1 tanker / 4 hrs ) the auxilliary pump's rate is ( 1 tanker / 9 hrs ) ---------------- ( fraction of tanker pumped in x hrs ) + ( fraction pumped by both pumps in 3-x hrs ) = 1 whole tanker pumped Multiply both sides by The auxiliary pump should be started at 9:45 check answer: In 3/4 of an hour the main pump empties of the tanker In 2.25 hrs, both together empty and OK