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# Recent problems solved by 'josmiceli'

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 Rational-functions/621573: Please help me solve the equation 8x^2+28=36 I need to factor for the larger and smaller values. I would appreciate if I could get all steps involved.1 solutions Answer 390820 by josmiceli(9687)   on 2012-06-17 22:37:23 (Show Source): You can put this solution on YOUR website! Divide both sides by Divide both sides by I will complete the square Take the square root of both sides and also, ------------- I'll check the 2nd answer: OK
 Linear_Equations_And_Systems_Word_Problems/621577: johnston and betsy waring have a jar containing 80 coins all of which are either quarters or nickels.The total value of the coins is \$14.60. How many of each type of coin do they have?1 solutions Answer 390819 by josmiceli(9687)   on 2012-06-17 22:20:07 (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 and subtract (1) from (2) (2) (1) and, since (1) (1) (1) They have 27 nickels and 53 quarters check: (2) (2) (2) OK
 Mixture_Word_Problems/621574: On two investments totaling \$6,000, Peter lost 6% on one and earned 9% on the other. If his net annaul receipts were \$327, how much was each investment?1 solutions Answer 390818 by josmiceli(9687)   on 2012-06-17 22:11:40 (Show Source): You can put this solution on YOUR website!Let = amount invested losing 6% Let = amount invested making 9% given: (1) (2) ----------------------- (2) Multiply both sides of (1) by , then add the equations (1) (2) and since, (1) (1) (1) The amount invested losing 6% was \$1,420 The amount invested making 9% was \$4,580 check answer: (2) (2) (2) OK
 Polynomials-and-rational-expressions/621456: 7x + 12 > 6x - 15 i dont remeber what section this is under can you help me solve it1 solutions Answer 390755 by josmiceli(9687)   on 2012-06-17 13:01:22 (Show Source): You can put this solution on YOUR website! Subtract from both sides Subtract from both sides ------------- You can check answer. If the inequality is not true, so and this is not true. Now check with and that should be true
 Square-cubic-other-roots/621451: what is the cubed root of x^2+2=3? please show work! (:1 solutions Answer 390752 by josmiceli(9687)   on 2012-06-17 12:25:40 (Show Source): You can put this solution on YOUR website!Is this the problem? If so, Cube both sides Subtract from both sides Take the square root of both sides ---------- check answer: Cube both sides OK
 Quadratic_Equations/621351: Dmitri needs 7 liters of a 24% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 28% solution and the other an unlimited supply of of the 14% solution. How many liters of each solution should Dmitri use?1 solutions Answer 390694 by josmiceli(9687)   on 2012-06-16 21:07:46 (Show Source): You can put this solution on YOUR website!Let = liters of 28% solution needed Let = liters of 14% solution needed = liters of sulfuric acid in 28% solution = liters of sulfuric acid in 14% solution ------------------------------------- (1) (2) --------------------------- (2) (2) (2) Subtract (1) from (2) (2) (1) and, since (1) (1) (1) 5 liters of 28% solution are needed 2 liters of 14% solution are needed check: (2) (2) (2) (2) (2) OK
 Travel_Word_Problems/621342: a car and a train leave station A at the same time for station B, 220 miles away. if the speed of the car averages twice the speed of the train and the car arrives 5.5 hours before the train, find the speed of the car and the speed of the train.1 solutions Answer 390692 by josmiceli(9687)   on 2012-06-16 20:56:40 (Show Source): You can put this solution on YOUR website!Let = the speed of the car Let = the speed of the train Let = the time it takes for the train to get to station B. -------------------- Equation for the train: (1) Equation for the car: (2) (3) ------------- Substitute (3) into (2) (2) and, from (1), (1) Substitute this into (2) (2) (2) (2) (2) and, since (3) (3) The speed of the car is 40 mi/hr The speed of the train is 20 mi/hr check: (1) (1) and (2) (2) (2) (2) (2) OK
 Quadratic_Equations/621308: when a ball dropped from height of her feet straight down, its height s at time t(in second)is given by formula s=h-16x^2. find the height of a ball dropped from a 500' perch after 5 second1 solutions Answer 390679 by josmiceli(9687)   on 2012-06-16 19:01:03 (Show Source): You can put this solution on YOUR website! ft
 Travel_Word_Problems/621317: A boat travels 50 miles downstream in the same time that it takes to go 30 miles upstream. The speed of the boat in still water is a constant 36 miles per hour. Then, in mph, the speed of the stream is1 solutions Answer 390678 by josmiceli(9687)   on 2012-06-16 18:57:37 (Show Source): You can put this solution on YOUR website!Let = the speed of the stream Let = the time to go upstream and downstream Going downstream: (1) Going upstream: (2) -------------------- (1) (2) Add the equations hrs and (1) (1) (1) (1) The speed of the stream is 9 mi/hr check: (2) (2) (2) (2) OK
 Graphs/621319: a barrel contains 38 gallons of water and is being drained at a constant rate of 14 gallons per minute. Write an equation that models the number of gallons, g after t minutes. the equation that models the given solution is?1 solutions Answer 390676 by josmiceli(9687)   on 2012-06-16 18:44:10 (Show Source): You can put this solution on YOUR website! Here's a plot:
 Linear_Equations_And_Systems_Word_Problems/621325: Maria and Charlie can deliver 40 papers in 4 hours. How long would it take them to deliver 44 papers?1 solutions Answer 390674 by josmiceli(9687)   on 2012-06-16 18:37:18 (Show Source): You can put this solution on YOUR website! It will take them 4 hours and 24 minutes
 Percentage-and-ratio-word-problems/621321: The ratio of boys to all students is 2:5. If there are 120 girls, how many are boys.1 solutions Answer 390673 by josmiceli(9687)   on 2012-06-16 18:31:29 (Show Source): You can put this solution on YOUR website!Let = number of boys Let = number of girls given: ----------- There are 48 boys check: OK
 Rate-of-work-word-problems/621276: Printing Press A starts working on a job at 8:00 am. Working alone, press A would take 24 hours to do the job. At 9:30 am, press B also begins to run the same job as A. Press B is twice as fast as press A. What time will the job be completed?1 solutions Answer 390672 by josmiceli(9687)   on 2012-06-16 18:26:31 (Show Source): You can put this solution on YOUR website!How much of the job did press A get done in 1.5 hrs from 8 AM to 9:30 AM? A's rate is ( 1 job ) / ( 24 hrs ) In 1.5 hrs: job/hr Now both A and B work on job There is of the job left to do. B's rate is ( 1 job ) / ( 12 hrs ) Multiply both sides by In 7.5 hrs after B starts, the job is done 9:30 + 7.5 = 5 PM job is done check answer: OK
 Complex_Numbers/621290: Plot the complex number, then write complex number in Polar form you may express the argument in degrees. 4-4(sqrt(3)i)1 solutions Answer 390664 by josmiceli(9687)   on 2012-06-16 13:44:08 (Show Source): You can put this solution on YOUR website! The angle is in the 4th quadrant and it is the angle whose tan is , which is minus 60 degrees. The length is which is In polar form: = 8 @ -60 degrees
 Travel_Word_Problems/621289: A jogger runs around a circular track with a diameter of 300 meters in 13 minutes. What was the jogger's average speed in meters/second?1 solutions Answer 390663 by josmiceli(9687)   on 2012-06-16 13:33:49 (Show Source): You can put this solution on YOUR website!The circumference ( distance around ) = m m/min m/sec
 Quadratic_Equations/621264: Ed bought \$2,000 in stock shares one week before the stock price dropped \$10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How many shares did he buy? 40, 50, or 60?1 solutions Answer 390658 by josmiceli(9687)   on 2012-06-16 11:57:45 (Show Source): You can put this solution on YOUR website!Let = the price/share before the price dropped Let = the number of shares he actually bought given: (1) (2) --------------------------- (1) Substitute this into (2) (2) (2) (2) Multiply both sides by (2) (2) (2) Use quadratic formula ( can't use the negative square root ) He bought 40 shares check answer: (1) (1) and (2) (2) (2) (2) OK
 Mixture_Word_Problems/621229: mom made 2 batches of iced tea. 1st batch was 6% sugar and was too sweet, the 2nd batch was 3% sugar and was not sweet enough. how many cups should she take from each batch to make 9 cups of iced tea containing 4% sugar?1 solutions Answer 390646 by josmiceli(9687)   on 2012-06-16 03:53:58 (Show Source): You can put this solution on YOUR website!Let = number of cups of 6% tea needed Let = number of cups of 3% tea needed = cups of sugar in 6% tea = cups of sugar in 3% tea ----------- (1) (2) ------------------------- (2) (2) (2) Subtract (1) from (2) (2) (1) and, since (1) (1) (1) 3 cups of 6% tea are needed 6 cups of 3% tea are needed check: (2) (2) (2) (2) (2) (2) OK
 Equations/621208: Solve each equation: 4x+3(x-2)=18-x Need help please step by step to solve equation the answer1 solutions Answer 390637 by josmiceli(9687)   on 2012-06-15 23:39:53 (Show Source): You can put this solution on YOUR website! Add to both sides Add to both sides Divide both sides by ---------- Check answer by plugging this value back into equation OK
 Miscellaneous_Word_Problems/621207: Suppose a market research company finds that at p=\$20, they would sell x=42 tiles each month. If they lower the price to p=\$10, then more people would purchase the tile and they can expect to sellx=52 tiles in a month. Find the equation of the line for the demand equation. 1 solutions Answer 390635 by josmiceli(9687)   on 2012-06-15 23:31:01 (Show Source): You can put this solution on YOUR website!I would plot , price/tile on the vertical axis and tiles sold/month on the horizontal You are given 2 points on a straight line: ( 42, 20 ) ( 52, 10 ) Use the point-slope formula Here's a plot:
 Travel_Word_Problems/621152: Ashley traveled by car at an average speed of 31 miles per hour. Then, she traveled by motorcycle at an average speed of 25 miles per hour. In total, she traveled 27 miles for 1 hour. How many minutes did Ashley travel by car?1 solutions Answer 390611 by josmiceli(9687)   on 2012-06-15 18:16:05 (Show Source): You can put this solution on YOUR website!Let = time traveled by car = time traveled by motorcycle Let = distance traveled by car = distance traveled by motorcycle -------- By car: (1) By motorcycle: (2) ----------------------- Substitute (1) into (2) (2) (2) (2) (2) Ashley traveled 20 minutes by car check: (1) (1) and (2) (2) (2) (2) (2) OK
 Travel_Word_Problems/621179: A plane leaves Chicago headed for Los Angeles at 590 mph. One hour later, a second plane leaves Los Angeles headed for Chicago at 660 mph. If the air route from Chicago to Los Angeles is 1800 miles, how long will it take (after the first plane takes off) for the first plane to pass the second plane? (Round your answer to two decimal places.) 1 solutions Answer 390607 by josmiceli(9687)   on 2012-06-15 18:00:59 (Show Source): You can put this solution on YOUR website!The first thing is: how much of a head start does the 1st plane get? mi ---------------- Let = distance the 2nd plane has to travel until the 1st plane passes it. is the distance the 1st plane travels until it passes the 2nd plane Let = the time from when the 2nd plane takes off until they meet ---------------- Equation for 1st plane (1) Equation for 2nd plane (2) ---------------- Substitute (2) into (1) (1) (1) (1) hrs And, the times from when the 1st plane takes off until they meet is 1.97 hours
 test/621016: A tugboat goes 160 miles an hour upstream in 20 hrs. The return trip downstream takes 10 hrs. Find the speed of the tugboat without a current and the speed of the current.1 solutions Answer 390512 by josmiceli(9687)   on 2012-06-14 21:35:28 (Show Source): You can put this solution on YOUR website!Let = the speed of the tugboat without a current Let = the speed of the current Going upstream: (1) ------------- Going downstream: (2) -------------------- (1) and (2) --------------- Add (1) and (2) (1) (2) and, since (1) (1) (1) (1) The speed of the tugboat without a current is 12 mi/hr The speed of the current is 4 mi/hr check: (1) (1) (1) (1) OK
 Word_Problems_With_Coins/621012: a bag contains 800 coins of these 10 percent are dimes 30 percent are nickels and the rest is quarters the how much money is in the bag1 solutions Answer 390508 by josmiceli(9687)   on 2012-06-14 21:01:23 (Show Source): You can put this solution on YOUR website!10% of 800: 30% of 800: 100% - 40% = 60% --------------- 80 dimes is \$8.00 ------ 240 nickels is \$12.00 ------ 480 quarters is \$120.00 -------- \$140.00 answer
 Travel_Word_Problems/620733: if a train left the station heading north at 50 mph and a train left a station heading south at 30mph at what point would they intersect and how many miles further would train A be rather than B1 solutions Answer 390358 by josmiceli(9687)   on 2012-06-14 04:12:18 (Show Source): You can put this solution on YOUR website!Say they are miles apart Let the time for them to meet = They approach each other at the sum of their speeds For the 50 mi/hr train: It's distance is For the 30 mi/hr train: It's distance is The 50 mi/hr train goes 1/4 of the distance between them further
 Coordinate-system/620637: How do i graph the linear equation Y=-2x + 5/21 solutions Answer 390301 by josmiceli(9687)   on 2012-06-13 18:59:02 (Show Source): You can put this solution on YOUR website!Here's the graph:
 Travel_Word_Problems/620630: Two people leave at the same time and start heading towards each other. Express the location of the meeting place as a function of the speeds of people and the initial distance between them.1 solutions Answer 390298 by josmiceli(9687)   on 2012-06-13 18:48:56 (Show Source): You can put this solution on YOUR website!Think of this as one person standing still and the other covering the distance between them at the sum of their speeds
 logarithm/620499: if log y to the base 10 = x , find the value of 10 ^ 2x in terms of y .1 solutions Answer 390180 by josmiceli(9687)   on 2012-06-13 13:20:49 (Show Source): You can put this solution on YOUR website!given: Express this as: Square both sides
 logarithm/620412: Use properties of logarithms to express as a single logarithm. 2logx + 3logy - logz1 solutions Answer 390151 by josmiceli(9687)   on 2012-06-13 11:02:18 (Show Source):
 Complex_Numbers/620423: (-7+i)(-7-i)1 solutions Answer 390112 by josmiceli(9687)   on 2012-06-13 08:48:51 (Show Source):
 Problems-with-consecutive-odd-even-integers/620118: if 6 is subtracted from the largest of three consecutive odd integers with the result multiplied by 2 the answer is 23 less than the sum of the first and twice the second of the integers. find the 3 integers1 solutions Answer 389914 by josmiceli(9687)   on 2012-06-12 10:36:26 (Show Source): You can put this solution on YOUR website!Let the 3 consecutive odd integers = , , and The integers are 15, 17, and 19 check: OK
 Quadratic_Equations/620114: you run a canoe rental business. You charge 12 dollars per canoe and average 36 per day. if you raise the price by fifty cents you lose 2 rentals a day. 12.00*36=432 whats the revenue formula for x price hikes?1 solutions Answer 389911 by josmiceli(9687)   on 2012-06-12 10:17:04 (Show Source): You can put this solution on YOUR website!The charge, , for 36 canoes increased by \$.50 price hikes, and losing 2 rentals per price hike is: answer ----------------------- check: If you have \$.50 price increases, The charge is and OK