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# Recent problems solved by 'josmiceli'

josmiceli answered: 9669 problems
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 Rational-functions/728685: You travel up a hill at 10mph. You travel down the hill at 30mph. What was your average speed?1 solutions Answer 445558 by josmiceli(9671)   on 2013-03-20 18:39:00 (Show Source): You can put this solution on YOUR website!Average speed is ( total distance ) /( total time ) Going up: Going down: ----------------- The average speed is 15 mi/hr
 Signed-numbers/728633: 1/14+18/x=? I need to know how to do a problem like this1 solutions Answer 445547 by josmiceli(9671)   on 2013-03-20 16:53:08 (Show Source): You can put this solution on YOUR website! This is an expression, not an equation, so the most you can do with it is express it as a single fraction. Multiply the 1st fraction by Multiply the 2nd fraction by This changes nothing, since you're multiplying by in both cases Hope this helps
 Functions/728632: i was given the following input/output table but i couldn't figure out the rule for it. i also know that if you were to graph this relation there would be no slope. what is the rule? input----> output -3----> 0.0016 -2----> 0.008 -1----> 0.04 0-----> 0.2 1 ----> 1 2-----> 5 3-----> 25 1 solutions Answer 445543 by josmiceli(9671)   on 2013-03-20 16:45:55 (Show Source): You can put this solution on YOUR website!If the input is , the output is ------------------------ check: OK
 �t�e�s�t/728566: A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes. a) If these machines were together how much time will it take to cap 1000 bottles? b) if t1 and t2 are the time in the above problem. Determine the time taken by both machines working together? c) What expression corresponds to the time it takes the 2 machines to do a job if the first does it in (a-2) minutes and the second one does it in (a^2-2a) minutes. Can you please help me? Thanks so much in advance:)1 solutions Answer 445538 by josmiceli(9671)   on 2013-03-20 16:36:47 (Show Source): You can put this solution on YOUR website!Since you're only dealing with 1000 bottles, you can say that 1000 bottles = 1 job Add the rates that the 2 machines work at ( 1 job / 10 min ) + ( 1 job / 8 min ) = 1 job / t min Multiply both sides by min with both working --------------- min min I'm not sure this is what they want, though --------------------- Multiply both sides by Hope I got it ------------ Tough problems
 Circles/728616: Please help!!! The circumference of a circular plate is 94.2 centimeters. Find the radius of the plate. Use 3.14 as an approximation1 solutions Answer 445526 by josmiceli(9671)   on 2013-03-20 16:05:31 (Show Source): You can put this solution on YOUR website! given: cm cm
 Travel_Word_Problems/728607: riley walked 10 1/2 miles in 2 and3/4 hours at this speed how far does riley walk in one hour 1 solutions Answer 445523 by josmiceli(9671)   on 2013-03-20 16:02:31 (Show Source): You can put this solution on YOUR website!The distance traveled is directly proportional to the time ( at the same speed ), so I can use a proportion: miles
 test/728611: 45 is 90% of what number1 solutions Answer 445518 by josmiceli(9671)   on 2013-03-20 15:55:22 (Show Source): You can put this solution on YOUR website!45 = .9x }}} 45 is 90% of 50
 logarithm/728531: I must evaluate log3 81 (The 3 is below the log) Thank! 1 solutions Answer 445479 by josmiceli(9671)   on 2013-03-20 13:06:41 (Show Source): You can put this solution on YOUR website!Log to the base 3 which gives you 81 You need the log, which is the exponent Raise the base to the unknown exponent This gives you , so
 Travel_Word_Problems/728479: A train goes from New Orleans to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?1 solutions Answer 445478 by josmiceli(9671)   on 2013-03-20 13:03:10 (Show Source): You can put this solution on YOUR website!Average speed = ( total distance ) / ( total time ) 1st trip: 2nd trip: ----------------- By sustitution: ---------- The distance traveled is The total time is ---------------- ( total distance ) / ( total time ) = The average speed is 53.333 mi/hr
 Rate-of-work-word-problems/728481: To travel 84 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 42 miles riding a bicycle. Sue travels 15 miles per hour faster than Doreen. Find the times and rates of both girls. 1 solutions Answer 445468 by josmiceli(9671)   on 2013-03-20 12:11:37 (Show Source): You can put this solution on YOUR website!Let = Doreen's time in hrs = Sue's time in hrs , Let = Doreen's speed in mi/hr = Sue's speed in mi/hr ------------------------------- Doreen's equation: (1) Sue's equation: (2) ---------------------------- (2) (1) Substitute (1) into (2) (2) (2) (2) Multiply both sides by (2) (2) (2) Use the quadratic equation ( ignore negative sqrt- can't have negative speed ) and, since (1) (1) (1) ------------- Sue's time: 4 hrs Doreen's time: 7 hrs Sue's speed: 21 mi/hr Doreen's speed: 6 mi/hr -------------------- check: (2) (2) (2) (2) and (1) (1) (1) OK
 Mixture_Word_Problems/728124: Water is flowing into a 5100 gallon pool at the rate of 40 gallons every 15 minutes. write an equation to describe the amount of water in the pool after t minutes.1 solutions Answer 445311 by josmiceli(9671)   on 2013-03-19 16:43:03 (Show Source): You can put this solution on YOUR website!The rate of filling is gal / min ( rate ) x ( time ) = gallons of water in the pool gallons in the pool after min The size of the pool doesn't matter, except that at some time it will overflow.
 Unit_Conversion_Word_Problems/728119: Jarend can work 54 math problems in one hour. How many problems can he work in 10 minutes?1 solutions Answer 445309 by josmiceli(9671)   on 2013-03-19 16:37:43 (Show Source): You can put this solution on YOUR website!This is like a problem except you've got ( number of problems done ) = ( rate of doing problems ) x ( time to do the problems ) Note that the time is converted from minutes to hour ) He can do 9 problems is 10 min
 Unit_Conversion_Word_Problems/728090: Leah rides 22 feet per second on her bicycle. How many miles per hour does she ride? 1 solutions Answer 445301 by josmiceli(9671)   on 2013-03-19 15:52:11 (Show Source): You can put this solution on YOUR website!Tn terms of units: ( ft /sec ) x ( miles/ft ) x ( sec/min ) x ( min/hr ) = miles/hr Her rate is 15 miles/hr
 Mixture_Word_Problems/728071: bronze which costs \$9.10/kg is made by combining copper which costs \$8.90/kg with tin which costs \$9.50/kg. Find the number of kg of copper required to make 16.6 kg of bronze?1 solutions Answer 445299 by josmiceli(9671)   on 2013-03-19 15:45:50 (Show Source): You can put this solution on YOUR website!Let = kg of copper needed Let = kg of tin needed (1) (2) ------------------ (1) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and (2) (2) (2) 11.0667 kg of copper is needed 5.5333 kg of tin is needed check answer: (1) (1) (1) (1) close enough
 Mixture_Word_Problems/727984: a 20 liter container is filled with pure acid. five liters of the mixture are drawn off and replaced with water and so on until 5 drawing and 5 replacements have been made. find the amount of acid in the final mixture1 solutions Answer 445295 by josmiceli(9671)   on 2013-03-19 15:20:01 (Show Source): You can put this solution on YOUR website!After 1st replacement, there is liters of acid in 20 liters of solution ------------------- After 2nd replacement There is liters of acid removed There is liters of acid left liters left -------------------- After 3rd replacement There is liters of acid removed There is liters of acid left liters left --------------------- After 4th replacement There is liters of acid removed There is liters of acid left liters left ----------------------- After 5th replacement There is liters of acid removed There is liters of acid left ------------------------- liters of acid left Hope I got it!
 Travel_Word_Problems/728056: A boat travels 336 miles in 7 hours(with constant speed). How much time will it take to travel 144 miles? 1 solutions Answer 445285 by josmiceli(9671)   on 2013-03-19 14:39:52 (Show Source): You can put this solution on YOUR website! The boat's rate is mi/hr hrs --------------- Note that the units are miles/hr and miles, so you don't have to convert any units.
 Expressions-with-variables/727999: A single-engine airplane carries enough fuel for an 8-hour flight. After the airplane has been flying for 1 h, the fuel tank begins to leak at a rate that would empty the tank in 12 h. How long after the leak begins does the plane have until it runs out of fuel?1 solutions Answer 445281 by josmiceli(9671)   on 2013-03-19 14:34:23 (Show Source): You can put this solution on YOUR website!The plane flies for 1 hr, so it has hrs of fuel left This is of a tankful --------------- This is similar to a problem ( 7/8 of a tank ) = [ ( 1 tankful / 12 hrs ) + ( 1 tankful / 8 hrs ) ] x time in hrs Note that the plane is using fuel at the normal rate plus rate due to leak Multiply both sides by hrs The plane will run out of fuel in 4.2 hrs after leak begins
 logarithm/728031: I must write the following in exponential form: log5x=4 (the 5 is below the log) 1 solutions Answer 445275 by josmiceli(9671)   on 2013-03-19 14:11:09 (Show Source): You can put this solution on YOUR website!You have, in words, The log to the base which gives you equals ------------------- You really have to know how to read this to understand it. Just look at the beginning and the end: "The log . . . . . . equals " Log are exponents, so you know that is the exponent ------------------- " to the base " The base is what the exponent raises, if is the base, then you have so far -------------------- " which gives you " Now you have answer Working it out, Hope this helps
 pythagorean/727969: how do yhu find the pyhtagorean distance formula???? im having a little trouble1 solutions Answer 445268 by josmiceli(9671)   on 2013-03-19 13:23:01 (Show Source): You can put this solution on YOUR website!You have 2 legs that form the right angle and you have the hypotenuse that connects them If the legs are and and the hypotenuse is , then the formula is: ------------------------ If the leg is horizontal and the leg is vertical, then you have: This is when: ( x[1], y[1] ) are the coordinates of one end of the hypotenuse ( x[2], y[2] ) are the coordinates of the other end of the hypotenuse ------------------------ If your points were ( 5,7 ) and (-1, 4 ) then ------------------ Hope this helps
 Equations/728012: I need to have this problem solved: (x - 2/3)^2 = 14 Thanks1 solutions Answer 445263 by josmiceli(9671)   on 2013-03-19 13:05:46 (Show Source): You can put this solution on YOUR website!I'll say and, also and, also --------------------- check answer: OK
 Money_Word_Problems/728005: 2 stores made a combine 625,000,000 store A made 275,000 more than store B. how much did each store make.1 solutions Answer 445260 by josmiceli(9671)   on 2013-03-19 12:58:23 (Show Source): You can put this solution on YOUR website!Let = the amount that store B made Store A made given: Store B made \$312,362,500 Store A made \$312,637,500 check: OK
 Travel_Word_Problems/727857: "It takes Beverly 4 hours to clean a room. If Steve worked together with her, it would take only 48 minutes for the room to be cleaned. How long would it take Steve to clean the room by himself?" I honestly have no idea how to figure this out. 1 solutions Answer 445213 by josmiceli(9671)   on 2013-03-19 00:39:54 (Show Source): You can put this solution on YOUR website!You have to find the rate of working for each person and add their rates of working to get their rate working together. Let = Steve's time working alone ( 1 room cleaned / 4 hrs ) + ( 1 room cleaned in t hrs ) = ( 1 room cleaned / 48 minutes ) You have to convert 48 min to hrs hrs Multiply both sides by It will take Steve 1 hr working alone check: OK
 Money_Word_Problems/727760: Cindy gets paid a 5% commission for selling furniture. If Cindy’s goal is to earn \$4,000 per month in commission checks, how much furniture does she need to sell per month to reach her goal? 1 solutions Answer 445174 by josmiceli(9671)   on 2013-03-18 20:40:47 (Show Source): You can put this solution on YOUR website!Let = dollars worth of furniture she must sell given: She must sell \$80,000 worth of furniture
 Surface-area/727729: A can has a height of 5.5 inches and a radius of 2.2 inches. A label needs to be placed on the can so that it wraps around the can exactly once with no overlap. What would be the surface area of the label? Use 3.14 for pi. Please help!! I'm unsure of what formula to use.1 solutions Answer 445172 by josmiceli(9671)   on 2013-03-18 20:36:59 (Show Source): You can put this solution on YOUR website!The area of the label is ( circumference of can ) x ( height of can ) in2
 Percentage-and-ratio-word-problems/727759: Ty spent 4/5 hours listening to tapes of Classical and Jazz. He spent 1/3 hours listening to Jazz. How many hours were spent listening to Classical?1 solutions Answer 445171 by josmiceli(9671)   on 2013-03-18 20:26:55 (Show Source): You can put this solution on YOUR website! is the time listening to classical is still -no change is still -no change is the number of hours listening to classical
 Rate-of-work-word-problems/727755: Five workers can do three jobs in 2 days. How many workers would it take to do 18 jobs in 10 days?1 solutions Answer 445170 by josmiceli(9671)   on 2013-03-18 20:17:40 (Show Source): You can put this solution on YOUR website!5 workers can do 3 jobs in 2 days. ---------------------------------- It will take 3 times as many workers to do 3 times as many jobs in the same time, so 15 workers can do 9 jobs in 2 days ------------------------------ In 5 times as many days, it will only take 1/5 as many workers to do the same number of jobs, so 3 workers can do 9 jobs in 10 days ------------------------------- It will take twice as many workers to do twice as many jobs in the same time, so 6 workers can do 18 jobs in 10 days
 Reduction-of-unit-multipliers/727736: How do I convert 20 squaref miles into square feet using a unit multiplier?1 solutions Answer 445166 by josmiceli(9671)   on 2013-03-18 19:39:48 (Show Source): You can put this solution on YOUR website!1 square mile is a square which is 1 mile x 1 mile 1 mile = 5280 ft, so the 1 square mile is ft2 ( square ft / square mile ) x ( square miles ) = square ft 557,568,000 square ft
 Percentage-and-ratio-word-problems/727734: A wheel makes 1 5/8 revolutions per minute. If it rotates for 68 minutes, how many revolutions does it make?1 solutions Answer 445163 by josmiceli(9671)   on 2013-03-18 19:30:27 (Show Source): You can put this solution on YOUR website!( revs / min ) x ( min ) = revs it makes 110.5 revs
 Exponential-and-logarithmic-functions/727726: logx-log(x/100)= x what are the steps to complete this problem?1 solutions Answer 445160 by josmiceli(9671)   on 2013-03-18 19:25:46 (Show Source): You can put this solution on YOUR website! --------- check answer: OK
 Linear-systems/727285: You can travel by boat 8 miles downstream in the same amount of time it takes you to travel 4 miles upstream. What is the speed of the current? 1 solutions Answer 445040 by josmiceli(9671)   on 2013-03-17 21:33:40 (Show Source): You can put this solution on YOUR website!Let = the speed of the current The time, is the same for both trips ------------------ The speed going downstream minus the speed of the current equals the speed going upstream plus the speed of the current -----------
 Linear_Algebra/727022: In 1980, the average price of a home in lake county was \$92,000. By 1987,the average price of a home was \$127,000. Which of the following is a linear model for the price p of a home in lake county, in terms of the year t? Let t=0 correspond to 1980. A) P=5000t+92,000. B) P=127,000-35,000t C) P=32,000t+92,000. D)P=127,000-5000t1 solutions Answer 444949 by josmiceli(9671)   on 2013-03-17 12:26:55 (Show Source): You can put this solution on YOUR website! is plotted on the horizontal axis {{ P }}} is plotted on the vertical axis You are given 2 points ( 0, 92000 ) and ( 7, 127000 ) Use the point-slope formula (A) is the answer check: Let OK