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Recent problems solved by 'josmiceli'

josmiceli answered: 9817 problems
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Equations/749865: please show me the steps to work this problem -12y -10 = 6y + 14 1 solutions Answer 456188 by josmiceli(9819)   on 2013-05-17 13:00:29 (Show Source): You can put this solution on YOUR website! Add to both sides Subtract from both sides Now just turn the equation around Divide both sides by Factor out a from top and bottom on the right side

Rate-of-work-word-problems/749866: Sam can paint the house in 7 days by himself, while Betty can paint the same house in 42 days. How long would it take Sam and Betty to paint the house together? 1 solutions Answer 456187 by josmiceli(9819)   on 2013-05-17 12:51:32 (Show Source): You can put this solution on YOUR website! Sam's rate is ( 1 house ) / ( 7 days ) = Betty's rate is ( 1 house ) / ( 42 days ) = Add their rates to get their rate working together Let = their time in days working together Multiply both sides by Together it takes them 6 days to paint the house

Length-and-distance/749879: how far are you from your starting point if you travel 4 miles east and then 2 miles south 1 solutions Answer 456186 by josmiceli(9819)   on 2013-05-17 12:45:09 (Show Source): You can put this solution on YOUR website! A right triangle is formed. Use the pythagorean theorem mi

Rate-of-work-word-problems/749868: Mark and Plato can paint one wall together in 8 minutes. It takes Mark and Plato the same amount of time to paint one wall alone. How long does it take Mark and Plato each to paint one wall? 1 solutions Answer 456183 by josmiceli(9819)   on 2013-05-17 12:22:35 (Show Source): You can put this solution on YOUR website! They paint at the same rate: Call the rate of each ( 1 wall ) / ( t min ) = Add their rates to get the rate working together Either one painting the wall alone will take 16 min

Radicals/749872: What is the square root of 75x^3? I'm getting 15 radical X 1 solutions Answer 456182 by josmiceli(9819)   on 2013-05-17 12:17:32 (Show Source): You can put this solution on YOUR website!

Mixture_Word_Problems/749685: need help solving this problem please. A tank contains 55 gallons of a 55% solution of antifreeze. How much solution needs to be drained out and replaced with pure antifreeze to obtain a 70% solution? 1 solutions Answer 456119 by josmiceli(9819)   on 2013-05-16 21:57:04 (Show Source): You can put this solution on YOUR website! The key here is to realize that you start with 55 gallons and end up with 55 gallons Let = gallons of solution to be drained and replaced with pure antifreeze = gallons of antifreeze removed gallons of antifreeze in original mixture ---------------------------- 18.333 gallons of solution must be drained and replaced with pure antifreeze check: OK

�t�e�s�t/749673: Using the facts that log2 = 0.3010 and log3 = 0.4771, find the values of the following a) log6 b) log1.5 c) log1/2 Can you please help me out? Thanks so much in advance Also can you please show the steps it would really help me understand better:) 1 solutions Answer 456115 by josmiceli(9819)   on 2013-05-16 21:41:03 (Show Source): You can put this solution on YOUR website! You need to follow 2 general rules (1) (2) ----------------------------- (a) --------------------------------- (b) -------------------------------- (c) ---------------------------- Note that for any value of , so for any value of

Proportions/749529: Two trains were 332 miles apart and heading towards each other at 11 am. If the trains meet at 1 pm and one train was traveling 36 miles per hour faster than the other, then how fast was each train moving? 1 solutions Answer 456053 by josmiceli(9819)   on 2013-05-16 16:31:40 (Show Source): You can put this solution on YOUR website! I like to think of one train as standing still and the other one approaching at the sum of their speeds from 11 AM to 1 PM is 2 hrs Let = the speed of the slower train = the speed of the faster train ----------------- The trains were traveling at 65 mi/hr and 101 mi/hr check: OK

Polynomials-and-rational-expressions/749532: How do I solve 12m2n2-8mn+1 I know its a polynomials with two variables, but lost on how to solve it 1 solutions Answer 456047 by josmiceli(9819)   on 2013-05-16 16:20:52 (Show Source): You can put this solution on YOUR website! I can take a guess just by looking at it

Travel_Word_Problems/749464: a train made a trip of 600 miles between 2 cities. if it averaged 10 miles per hour more, it would have required 2 hours less to take the trip. find the rate of speed of the train. 1 solutions Answer 456031 by josmiceli(9819)   on 2013-05-16 15:15:44 (Show Source): You can put this solution on YOUR website! Let = the 1st speed in mi/hr = the increased speed in mi/hr Let = the train's time at mi/hr = the train's time at mi/hr ---------------------- given: (1) (2) ---------------------------- (2) (2) (2) and, (1) (1) (2) (2) (2) (2) (2) Use quadratic formula ( can't use negative square root ) and (1) (1) (1) The speed of the train is 50 mi/hr check: (1) (1) and (2) (2) (2) (2) OK

Rational-functions/749509: the county's new asphalt paving machine can surface one mile of highway in 10 hours. A much older machine can surface one mile in 18 hours. How long will it take them to surface one mile of highway, working together? How long will it take them to surface 20 miles? 1 solutions Answer 456026 by josmiceli(9819)   on 2013-05-16 14:49:53 (Show Source): You can put this solution on YOUR website! Rate of resurfacing for new machine: ( 1 mile ) / ( 10 hrs ) Rate for older machine: ( 1 mile ) / ( 18 hrs ) -------------------- Let = the time in hours for them to resurface 1 mile working together Multiply both sides by It will take them 6 hrs and 26 min working together check: OK For 20 miles: It will take them 128 hrs and 34 min check: OK

Linear_Equations_And_Systems_Word_Problems/749236: dina planted an eight foot tree in her backyard which she expects to grow at a rate of 4 feet per year. Determine th eequation of the line that shows how tall the tree will be each year. Please help solve this problem ! 1 solutions Answer 455870 by josmiceli(9819)   on 2013-05-15 20:02:41 (Show Source): You can put this solution on YOUR website! Plot the height in feet on the vertical axis and time in years on the horizontal axis. The general form of the equation will be = slope = h-intercept -------------------------- Call the time when she plants the tree. You now have the point ( 0,8 ) This is the h-intercept The slope of the line is the rate of growth of the tree So, the equation is

Travel_Word_Problems/749225: A train departs from Town A at 3:00pm to travel to Town B. Its average speed for the journey is 90km/h, and it arrives at 5:00pm. A second train departs from Town A at 3:10pm and arrives at Town B at 4:30pm. What is the average speed of the second train? 1 solutions Answer 455865 by josmiceli(9819)   on 2013-05-15 19:53:08 (Show Source): You can put this solution on YOUR website! The 1st train takes 2 hrs to go from A to B Let = distance from A to B Km ------------- The 2nd train takes 1 hr and 20 min which is hrs to go the same distance The average speed of the 2nd train is 135 km/hr

Evaluation_Word_Problems/749228: Solution A is 12% acid and Solution B is 4% acid. If a technician wants to mix them to make 60 liters of Solution C which is 10% acid, how many liters of each should be mixed together? I REALLY need help!!! 1 solutions Answer 455862 by josmiceli(9819)   on 2013-05-15 19:41:06 (Show Source): You can put this solution on YOUR website! Let = liters of solution A needed Let = liters of solution B needed = liters of acid in solution A = liters of acid in solution B --------------------------------- (1) (2) ---------------------------- (2) (2) Multiply both sides of (1) by and subtract (1) from (2) ----------------- (2) (1) and, since (1) (1) (1) 45 liters of solution A are needed 15 liters of solution B are needed check: (2) (2) (2) (2) (2) OK

Equations/749168: Having your car repaired. The machanic said it would cost at least $375 for parts and labor. If the cost of the parts was $150, and the mechanic charges $60 an hour, how many hours is the mechanic planning to work on the car? 1 solutions Answer 455805 by josmiceli(9819)   on 2013-05-15 17:20:43 (Show Source): You can put this solution on YOUR website! ( parts + labor ) - ( parts ) = labor ( labor cost ) / ( cost / hr ) = hrs The mechanics hours will be 3 hrs and 45 min

Geometry_Word_Problems/749152: The revenue for a small company is given by the quadratic function r(t)=15t2+7t+830 where t is the number of years since 1998 and r(t) is in thousands of dollars. If this trend continues, find the year after 1998 in which the company's revenue will be $1412 thousand. Round to the nearest whole year. 1 solutions Answer 455803 by josmiceli(9819)   on 2013-05-15 17:11:23 (Show Source): You can put this solution on YOUR website! Find when ( can't use the negative square root ) 1998 + 6 = 2004

Travel_Word_Problems/747807: Anna and Bill walk the same route from home to school. They don't leave at the same time. Anna sets off first followed by bill 5 minutes later. The distance from their home to the school is 1.2 KM. Anna walks at a steady speed of 1 m/s. Bill walks faster at 1.5 m/s. a) Draw their distance -time graphs. b) How many seconds does it take Anna to complete the walk to school? c) How long does it take Bill to reach the school? d) How long does it takes Bill to catch up with Anna and how far are they from the school when he does? 1 solutions Answer 455174 by josmiceli(9819)   on 2013-05-12 13:32:18 (Show Source): You can put this solution on YOUR website! Plot distance in meters on the vertical axis and time in seconds on the horizontal Anna's head start is m ( 5 min is 300 sec ) Let = the time in seconds started when Bill leaves Let = the distance in meters for the whole route Anna's equation: (1) Bill's equation: (2) --------------- (1) ------------------ Here's the plot- note that m is as far as they will go. The line that starts at is Bill's The line that starts at is Anna's ----------------- Anna: sec is Anna's time to get to school ------------------ Bill: sec is Bill's time to get to school ---------------- Bill catches anna when --------------- When sec, m ----------------

Mixture_Word_Problems/747806: HOW MUCH WATER DO I ADD TO MAKE A 10% SOLVENT INTO A .5% SOLVENT? 1 solutions Answer 455146 by josmiceli(9819)   on 2013-05-12 11:59:05 (Show Source): You can put this solution on YOUR website! Let = units of water to be added Suppose you have units of 10% solvent to start with ( plug in your own number ) unit of solvent to start with 190 units of water need to be added hope this helps

Miscellaneous_Word_Problems/747757: 1) A customer deposits Php 8000 in one simple interest account and Php 2000 in a second simple interest account. The interest rate on the Php 8000 account is 2% more than the rate on the Php 2000 account. If the total amount of interest on the two accounts is Php 578, find the interest rate on the Php 8000 account. 2) A man has Php 34,000 to invest. He invests some at 17% and the balance at 20%. His total annual interest income is Php 6245. Find the amount invested at the 17% interest rate. 3) A woman can do a certain job in 10 hr and the younger daughter can do it in 12 hr. After the woman and her younger daughter have been working for 1 hr, the younger daughter got tired and decided to leave the woman doing the job alone. How long did the woman finish the job after the younger daughter left her? If x is the number of hours that the woman did the job alone, which of the following equations should be used to answer the problem? 4) A woman can do a certain job in 10 hr and the younger daughter can do it in 12 hr. After the woman and her younger daughter have been working for 1 hr, the younger daughter got tired and decided to leave the woman doing the job alone. How long (in hours) did the woman finish the job after the younger daughter left her? 1 solutions Answer 455145 by josmiceli(9819)   on 2013-05-12 11:52:16 (Show Source): You can put this solution on YOUR website! I can do part 3), I think. Their rates of working are: Woman: ( 1 job ) / ( 10 hrs ) daughter: ( 1 job ) / ( 12 hrs ) ----------------- Find the fraction of the job that woman and daughter get done in 1 hr. woman: ( 1 job / 10 hrs ) x ( 1 hr ) = ( 1/10 ) job daughter: ( 1 job / 12 hrs ) x ( 1 hr ) = ( 1/12 ) job So, in 1 hr, working together they did job That means there was of the job left to do Let = hrs worked by woman alone is the fraction of the remainder of the job she gets done ----------------------------------- of the job is already done I can say: hrs min x = 8 hrs and 10 min Hope I got it

Money_Word_Problems/747479: Three hundred and fifty-eight tickets to the school basketball game on Friday were sold. Student tickets were $1.50, and nonstudent tickets were $3,25. The school made $725.25. How many student and how many nonstudent tickets were sold? 1 solutions Answer 454959 by josmiceli(9819)   on 2013-05-11 09:20:29 (Show Source): You can put this solution on YOUR website! Let = number of student tickets sold Let = number of non-student tickets sold given: (1) (2) --------------------------- (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) ----------------- I think there's a problem somewhere, because I should end up with whole numbers for answers. The method is OK though

Expressions-with-variables/747390: Ryan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ryan $5.95per pound, and type B coffee costs $4.65 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of$320.25 . How many pounds of type A coffee were used? 1 solutions Answer 454896 by josmiceli(9819)   on 2013-05-10 20:05:02 (Show Source): You can put this solution on YOUR website! Let = pounds of type A coffee used Let = pounds of type B coffee used ---------- given: (1) (2) ---------------------------- (2) Substitute (1) into (2) (2) (2) (2) (2) and (1) (1) 21 pounds of type A coffee were used ------------------- check: (2) (2) (2) (2) OK

logarithm/747365: How do I find all the real-number roots of the equation and give an exact expression for the root and also a calculator approximation rounded to three decimal places. 1 solutions Answer 454862 by josmiceli(9819)   on 2013-05-10 17:21:02 (Show Source): You can put this solution on YOUR website! Note that Complete the square and

Age_Word_Problems/747266: stanley found alot of seashells at the beach.Of the seashells, he found 5/8 were blue.If 3/5 of the blue shells were scallop shells, what fraction of the total shells were blue scallop shells? 1 solutions Answer 454788 by josmiceli(9819)   on 2013-05-10 12:14:14 (Show Source): You can put this solution on YOUR website! The blue scallop shells were 3/5 of 5/8 of the total shells The blue scallop shells were 3/8 of the total shells

Quadratic_Equations/747253: Two companies working together can clear a parcel of land in 13 hours. Working alone, it would take company A 10 hours longer to clear the land than it would Company B. How long would it take company B to clear the parcel of land alone? 1 solutions Answer 454787 by josmiceli(9819)   on 2013-05-10 11:54:17 (Show Source): You can put this solution on YOUR website! Add their rates of working to get their rate working together Let = B's time in hours to clear the parcel of land given: B's rate: ( 1 parcel cleared ) / ( t hrs ) A's rate: ( 1 parcel cleared ) / ( t + 10 hrs ) Their rate working together: ( 1 parcel cleared / t hrs ) + ( 1 parcel cleared / t + 10 hrs ) = ( 1 parcel cleared / 13 hrs ) ---------------------- Multiply both sides by Complete the square Take square root of both sides Working alone, B takes 21 hrs 56 min check: OK

Linear-systems/747255: Help me solve this equation please. Simplify the expression. Assume that all variables represent nonzero numbers. 6p^3 times 3p^5 = __ 1 solutions Answer 454782 by josmiceli(9819)   on 2013-05-10 11:30:41 (Show Source): You can put this solution on YOUR website!

Average/747036: My first test score was 72%, I did a retake of the test and scored 93%. What is my percentage increase? How do I find the percent increase between the 2 scores? Thanks, Craig 1 solutions Answer 454659 by josmiceli(9819)   on 2013-05-09 19:39:52 (Show Source): You can put this solution on YOUR website! Your increase over the 1st score was What percent of the 1st score is this increase? the percent increase is 29.2%

Word_Problems_With_Coins/747034: Diane has $1.20 in dimes and nickels. She has a total of 15 coins. How many of each kind does she have? Smallest Value Highest Value 1 solutions Answer 454657 by josmiceli(9819)   on 2013-05-09 19:32:38 (Show Source): You can put this solution on YOUR website! Let = number of nickels Let = number of dimes ----------- (1) (2) ( in cents ) --------------------- Multiply both sides 0f (1) by and subtract (2) from (1) (1) (2) ----------- and, since (1) (1) She has 6 nickels and 9 dimes check: (2) (2) (2) (2) OK

Linear_Equations_And_Systems_Word_Problems/746880: 30 students work 20 hours per week at 8.50, and 20 students work 20 hours per week at $10 per hour for nine months. What is the total student assistant yearly cost? 1 solutions Answer 454585 by josmiceli(9819)   on 2013-05-09 16:02:35 (Show Source): You can put this solution on YOUR website! In terms of units: ( number of students ) x ( pay / hour ) x ( hours / week ) = assistants pay / week The assistance are paid per week -------------- ( number of months ) x ( weeks / month ) = Yearly cost = $327,600

Square-cubic-other-roots/746927: Please solve this problem ASAP. I have a test tomorrow and I am doing extra practice to prepare. I completed this problem, but I am unsure if I did it correctly. Thanks in advance for helping me. Complete the square of the following problem: 2x^2 - 4x - 3 = 0 I got the answer: x = 1 +/- sqrt5/2 *+/- = positive negative *sqrt = square root Thanks again in advance. 1 solutions Answer 454580 by josmiceli(9819)   on 2013-05-09 15:48:52 (Show Source): You can put this solution on YOUR website! Take 1/2 of the co-efficient of x, square it and add it to both sides Take the square root of both sides and also, --------------------- I think you were correct You can plug these answers back into the original equation as a check- I'll leave it to you.

Rate-of-work-word-problems/746611: A swimming pool has two inlet pipes. One fills the pool in three hours and the other in 6 hours. The outlet pipe empties the pool in 4 hours. Once the outlet pipe was left open when the pool was being filled, in how many hours was the pool full? Please help. I am trying to help my son with his homework. 1 solutions Answer 454394 by josmiceli(9819)   on 2013-05-08 21:00:09 (Show Source): You can put this solution on YOUR website! Add the rates of filling of the 2 filling pipes and subtract the rate of draining of the emptying pipe ------------- 1st pipe's rate: ( 1 pool filled ) / ( 3 hrs ) 2nd pipe's rate: ( 1 pool filled ) / ( 6 hrs ) ------------- 3rd pipe's rate of emptying: ( 1 pool emptied ) / ( 4 hrs ) ------------- Let = the time in hrs to fill the pool with all 3 pipes open Multiply both sides by It will take 4 hrs to fill the pool with all 3 pipes open check: Add to both sides OK

Travel_Word_Problems/746609: If Micheal's car can travel 28 miles with one gallon of gas how many miles can he travel with 16 gallons of gas? 1 solutions Answer 454391 by josmiceli(9819)   on 2013-05-08 20:47:31 (Show Source): You can put this solution on YOUR website! Multiply both sides by he can travel 448 miles