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Recent problems solved by 'josmiceli'

josmiceli answered: 9817 problems
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Linear_Equations_And_Systems_Word_Problems/741166: For a class trip to a museum, 461 students and 20 teachers will be taking buses. Each bus can seat a maximum of 52 persons. What is the least number of buses needed for the trip? a.8 b.9 c.10 d.11 1 solutions Answer 451874 by josmiceli(9819)   on 2013-04-23 22:59:55 (Show Source): You can put this solution on YOUR website! 9 buses and 1/4 of another bus are needed, so 10 buses are needed

Equations/741159: a movie is 2 1/4 hours long.when the movie begins,there are 64 people in the theater.in the first half hour,3/8 of the people leave.in the next half hour,1/5 of the remaining people leave.the rest of the people stay the entire movie.what percent of the people who began seeing the movie stayed for the entire movie ? 1 solutions Answer 451873 by josmiceli(9819)   on 2013-04-23 22:54:04 (Show Source): You can put this solution on YOUR website! people leave in the 1st half hour people are remaining ----------------- leave in the next half hour people are remaining 50% of those who began see the entire movie

Linear-systems/741070: My sons homework can not figure out Solve Systems of Equations Algebraically here is the question y=-x y=-7x can you show me how to get answer? 1 solutions Answer 451856 by josmiceli(9819)   on 2013-04-23 20:54:02 (Show Source): You can put this solution on YOUR website! ------------ These are equations of straight lines which intersect at some point -------------------- It's a good idea to see what you can about the lines, just by looking at the equations. The general form of a straight line is where is the slope of the lines. for both lines, so they both look like ---------------------- The slope is ------------------ The slope is ------------------- For the first equation, if I say , then: ------------ For the 2nd equation, if I say , then --------------- I have just shown that both lines pass through (0,0), which is the origin. Two straight lines can only intersect at one point, so, , is the solution ------------------------------------ Here is the plot of the lines:

Miscellaneous_Word_Problems/741100: Chris was given a large bag of cookies and ate one third of the cookies before stopping as he was feeling sick. The next day he ate one third of the remaining cookies, and the following day he ate one third of the remainder, before counting the cookies he had left which totaled eight. How many sweets was he given in the beginning? 1 solutions Answer 451851 by josmiceli(9819)   on 2013-04-23 20:39:05 (Show Source): You can put this solution on YOUR website! He started with cookies After eating , he has left He ate , so he has left Again he ate , so he has left he has cookies left, so He was given 27 cookies check: He ate , and has left He ate , and has left He ate , and has left OK

Miscellaneous_Word_Problems/741108: You pour 2 gallons of 5% bleach into 3 gallons of 20% bleach.What is the percentage in this new mixture? (Hint: 3x3 chart may be helpful) 1 solutions Answer 451843 by josmiceli(9819)   on 2013-04-23 20:28:13 (Show Source): You can put this solution on YOUR website! gallons of bleach in 5% mixture gallons of bleach in 20% mixture ----------------- The new mixture is 14% bleach

Travel_Word_Problems/741083: A search plane takes off from an airport at 6:00 a.m. and travels north at 200mph. A second plane leaves that airport at 6:30 a.m. and travels east at 150mph. The planes carry radios with a maxium range of 300 miles. When (to the nearest minute) will these planes no longer be able to communicate? 1 solutions Answer 451838 by josmiceli(9819)   on 2013-04-23 20:21:16 (Show Source): You can put this solution on YOUR website! The 1st plane has a head start of mi ---------------- Start a stopwatch when the 2nd plane leaves ------------------------------ Let = time on stopwatch when they are miles apart --------------------- distance for 1st plane: ------------------- Distance for 2nd plane: ------------- The planes travel 90 degrees to each other, so Use quadratic formula hrs min They will be out of range at 7:22 check: 1st plane: -------------- 2nd plane: ------------- Maybe error is due to rounding off. Recheck my math- I think the method is OK

Travel_Word_Problems/741072: Sammy walks home from school everyday at a rate of 4 mph. It takes him 30 minutes to reach home. His sister, candy, runs home from the same school everyday at a rate of 6 mph. How many fewer minutes does it take candy than sammy to reach home from school each day? 1 solutions Answer 451830 by josmiceli(9819)   on 2013-04-23 19:27:30 (Show Source): You can put this solution on YOUR website! min = hrs Sammy's equation: mi ------------- Candy's equation: hr min ------------------ It takes Candy 10 fewer minutes to get home

Linear_Equations_And_Systems_Word_Problems/740916: There are eight times as many 10 cent coins as there are 5 cent coins in a money box. The value of all the 10 cent coins is 450 cent more than the value of 5 cent coins. How many 5 cent and 10 cent coins are there in the money box 1 solutions Answer 451790 by josmiceli(9819)   on 2013-04-23 14:16:38 (Show Source): You can put this solution on YOUR website! Let = number of 5 cent coins in box Let = number of 10 cent coins in box ----------------- (1) (2) ( all values in cents ) --------------------- Substitute (1) into (2) (2) (2) (2) (2) and, since (1) (1) (1) There are 6 of the 5 cent coins in box There are 48 of the 10 cent coins in box check: (2) (2) (2) (2) OK

Mixture_Word_Problems/740906: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do I have to use to get the 2%? Thanks! 1 solutions Answer 451784 by josmiceli(9819)   on 2013-04-23 14:04:03 (Show Source): You can put this solution on YOUR website! Let = ml of 17% solution needed Let = ml of alcohol needed = ml of salicylic acid in 17% solution ----------------- (1) (2) ---------------------- (2) (2) (2) and, since (1) (1) (1) 55.647 ml of 17% solution is needed 417.353 ml of alcohol is needed check: (2) (2) (2) (2) (2) OK

Rational-functions/740898: I completely forget how to do these and I am struggling to figure it out please help! Sorry but I am not sure where I am actually supposed to put these types of questions but here it goes! 6√72x^2 5√80a^2 -8√24k^3 2√8p^2q^3r -3√24a^4b^2c^3 -2√48a^3b^4c^2 4√36x^2y^3z^4 Thank You in advance! 1 solutions Answer 451776 by josmiceli(9819)   on 2013-04-23 13:37:55 (Show Source): You can put this solution on YOUR website! Mainly, you use 2 general concepts here and etc. -------------- I'll do the tough ones --------------------- ---------------------- ---------------------------- This should be enough to show the concepts

Trigonometry-basics/740850: My son is doing homework and I am no good at algerba, if I could get the answer I could try to work backwards to explain the concept Q/Angle a is x degrees. angle b is 20 degrees larger. how many degrees is B 1 solutions Answer 451771 by josmiceli(9819)   on 2013-04-23 12:56:36 (Show Source): You can put this solution on YOUR website! What they are trying to show is that you can add and subtract angles just like ordinary numbers. Also you can replace the numbers with letters. given: Angle a is degrees Angle b is degrees larger than a Angle b = -------------------- Suppose degrees Then, angle b = So, angle a = 20 degrees Angle b = 40 degrees

test/740887: How do I figure out what is seven-tenths of 5/7? 1 solutions Answer 451770 by josmiceli(9819)   on 2013-04-23 12:41:18 (Show Source): You can put this solution on YOUR website! Multiply the two fractions --------------- When you have fractions that are being multiplied, you can exchange numerators and you can exchange denominators --------------- Note that , so answer --------------------- You could also have done it this way: First multiply both numerators, then multiply the denominators. Divide numerators by denominators. same answer

Mixture_Word_Problems/740835: Oil field - Topic i have a container of 32% Hydrochloric Acid (HCL) I need to blend this down by adding water to make it a 5% solution of HCL. If i needed a total of 100 gallons of 5% HCL, what would be the ratio of gallons of 32% HCL and gallons of water added to make 100 gallons of 5% HCL? 1 solutions Answer 451761 by josmiceli(9819)   on 2013-04-23 12:22:55 (Show Source): You can put this solution on YOUR website! Let = gallons of 32% HCL Let = gallons of water needed ----------------- -------------------- given: and --------------- answer check: OK

Radicals/740707: will you please help me with my equation? 1 solutions Answer 451670 by josmiceli(9819)   on 2013-04-22 22:18:11 (Show Source): You can put this solution on YOUR website! Note that and --------------------------

Rate-of-work-word-problems/740638: If it takes 12 carpenters 30 days to build a house, how many more will have to be added to finish a house in 24 days? 1 solutions Answer 451658 by josmiceli(9819)   on 2013-04-22 20:07:12 (Show Source): You can put this solution on YOUR website! 12 carpenters take 30 days to build a house To build the house in 1/5 that time would take 5 times as many carpenters, so --------------------------- 60 carpenters take 6 days to build a house If they have 4 times as long to build the house, they can do it with 1/4 as many carpenters, so --------------------------------------- 15 carpenters take 24 days to build a house They started with 12 carpenters, so they have to add 3 more to finish it in 24 days

Equations/740655: solving systems using substitution x+4y=5 4x-2y=11 I can't figure out what am I suppose to do so please help. 1 solutions Answer 451653 by josmiceli(9819)   on 2013-04-22 19:56:09 (Show Source): You can put this solution on YOUR website! This is how substitution works: (1) Subtract from both sides (1) -------------------- Plug this expression for into (2) (2) (2) (2) (2) (2) (2) -------------- Plug this result back into (1) or (2) (1) (1) (1) (1) ------------- check the solutions, (2) (2) (2) (2) OK (1) (1) (1) (1) OK

Geometry_Word_Problems/740620: There's two squares. Ones bigger than the other. The area of the bigger square is twice the area of the smaller. The total perimeter of the squares together is 16 inches. What's the side lengths of the larger square? 1 solutions Answer 451649 by josmiceli(9819)   on 2013-04-22 19:16:35 (Show Source): You can put this solution on YOUR website! Let = the side of the bigger square Let = the side of the smaller square The area of the bigger square is The area of the smaller square is given: (1) (2) in ------------------- (2) (2) Substitute (2) into (1) (1) (1) (1) (1) Use the quadratic formula ( this result must be discarded, since it's greater than 4 ) and ---------------- and, -------------- The side of the larger square is 2.344 inches check: (1) (1) (1) (1) This is off a little too much- If you redo the math to another decimal place, I think it will come out right

Travel_Word_Problems/740215: My vehicle gets 12 miles to a gallon, if i drive for 9 minutes at 35 miles a hour how much gas do i use and how much does it cost in gas doing this for 4 of the same trips at 2.60$ a gallon? (We're going to pretend there is no stop lights or anything just constant speed/driving) 1 solutions Answer 451526 by josmiceli(9819)   on 2013-04-21 21:13:35 (Show Source): You can put this solution on YOUR website! minutes is hrs ( mi/hr ) x ( hrs ) = miles miles ------------------------- ( miles ) / ( miles / gallon ) = gallons gallons ------------------------- You use .4375 gallons of gas ( dollars / gallon ) x ( gallons ) = dollars dollars The cost in gas is $3.61

Linear_Equations_And_Systems_Word_Problems/740210: a computer technician keeps track of his earnings throughout each month. the technician observes that his earnings are a linear function of the number of hours he works during the month. the technician finds that when he works 55 hours during the month he earns 2125. and when he works 30 hrs hea earns 585. write a linear function to model the relationship between the number of hours worked and the money earned. and explain the meaning of slope in the contexts of the problem. I drew a chart with hrs 30 55 earns 585 2125 1 solutions Answer 451525 by josmiceli(9819)   on 2013-04-21 20:59:15 (Show Source): You can put this solution on YOUR website! You are given the points ( 55, 2125 ) and ( 30, 585 ) Hours are plotted on the x-axis and Earnings are plotted on the y-axis. -------------- Use the general point-slope formula Multiply both sides by answer -------------------- Check: Does it go through ( 30,585 ) ? OK Does it go through ( 55, 2125 ) ? OK

Linear-equations/740205: Write the equation with slope 0 and through -2,1. 1 solutions Answer 451522 by josmiceli(9819)   on 2013-04-21 20:32:38 (Show Source): You can put this solution on YOUR website! The slope = 0 means the line is parallel to the x-axis. It has the same y-coordinate no matter what the value of is The line goes through ( -2,1 ), so the equation of the line is

Travel_Word_Problems/739954: find the average speed of a motorcyclist if he drives from A to B with a uniform speed of 30kmph and returns back with a speed of 20kmph. 1 solutions Answer 451432 by josmiceli(9819)   on 2013-04-21 03:57:41 (Show Source): You can put this solution on YOUR website! What the average is NOT is the average of the 2 speeds, which would be km ------------------------- The average speed is ALWAYS ( total distance ) / ( total time ) -------------------------- No distance is given, so I can assign any distance I want, so I will say that the one-way distance is km ---------------------- A to B hrs --------------- B to A hrs -------------- The total distance is km hrs ------------------- The average speed is: The average speed is 24 km/hr

Square-cubic-other-roots/739957: I need help! what does x to the power of minus 3 equal? and how do i work it out?! 1 solutions Answer 451430 by josmiceli(9819)   on 2013-04-21 03:44:14 (Show Source): You can put this solution on YOUR website! The general rule is: ------------------- Suppose you had and , so ------------------- Also, the negative exponents operate just the positive exponents. A general rule is: Following this, suppose you had then , so ------------------- Your problem is Following the general rule, -------------------- hope this helps

Age_Word_Problems/739958: Beth is three years older than Jay. Find their present ages if the product of Beth's age is four years from now and Jay's age three years ago is 75.Thank You! 1 solutions Answer 451428 by josmiceli(9819)   on 2013-04-21 03:32:17 (Show Source): You can put this solution on YOUR website! Let = Beth's age now Let = Jay's age now = Beth's age in years = Jay's age 3 years ago ----------------------------- given: (1) (2) -------------------------- Substitute (1) into (2) (2) (2) (2) (2) By looking at this I can see: (2) ( ignore negative answer ) and, since, (1) (1) Beth is 11 and Jay is 8 check: (2) (2) (2) (2) OK

Rectangles/739956: the length of a rectangle is three times as long as the width. If each side is increased by 6, the area of the new rectangle is 156 more than the area of the original rectangle. What are the dimensions of the new rectangle? 1 solutions Answer 451425 by josmiceli(9819)   on 2013-04-21 03:13:46 (Show Source): You can put this solution on YOUR website! The 1st rectangle is: ----------------- The 2nd rectangle: --------------- Going back to the 1st rectangle, and ------------ And, referring to the 2nd rectangle, The dimensions of the new rectangle are 11 x 21 ---------------- check: OK OK

Equations/739862: The Kim family and the Chen family each used their sprinklers last summer. The water output rate for the Kim family's sprinkler was 40L per hour. The water output rate for the Chen family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 1100L . How long was each sprinkler used? 1 solutions Answer 451363 by josmiceli(9819)   on 2013-04-20 16:56:46 (Show Source): You can put this solution on YOUR website! Let = hours of use by Kim family = hours of use by Chen family ------------ 20 hours of use by Kim family 15 hours of use by Chen family

Linear-equations/739832: what are the 2 x-intercept coordinates when the vertex is (-2,-8) and the y-intercept is (0,4)? 1 solutions Answer 451350 by josmiceli(9819)   on 2013-04-20 15:00:59 (Show Source): You can put this solution on YOUR website! The general form is: The vertex is at ( -2,-8 ) The formula for the x-intercept of the vertex is: ----------- So far I have Plug in the vertex point ( -2,-8 ) Now I have Plug in ( 0,4 ) ------------ ----------------------- Use the quadratic formula and ------------------- The x-intercepts are at -.367007 and -3.63299 check: Is the y-intercept at ( 0,4 ) ? OK Does it go through ( -2,-8 ) ? OK Here's the plot:

Rectangles/739757: Find the maximum area of a rectangle with a perimeter of 56. 1 solutions Answer 451316 by josmiceli(9819)   on 2013-04-20 11:26:45 (Show Source): You can put this solution on YOUR website! Let = the length Let = the width Let = the perimeter Let = the area -------------------- --------------- ------------------- This is a parabola with a maximum due to the minus sign in front of the The W-coordinate of the maximum is at where and ----------------- Here's a plot of this equation:

Money_Word_Problems/739758: At a sale this week, a suit is being sold for $306. This is a 28% discount from the original price. What is the original price? 1 solutions Answer 451313 by josmiceli(9819)   on 2013-04-20 11:07:08 (Show Source): You can put this solution on YOUR website! Let = the original price The original price was $425

Polynomials-and-rational-expressions/739727: I donīt understand how to get 2k from this: (2k^2+4k)/(2k+2) Many thanks for the great help. Yeppe 1 solutions Answer 451280 by josmiceli(9819)   on 2013-04-20 03:13:54 (Show Source): You can put this solution on YOUR website! If the result is then it must be true that This is not true, so I don't see how either ---------------- This is what I get

Travel_Word_Problems/739724: At the end of an amusement park ride, a boat lands in a pool, splashing out a lot of water. Three inlet pipes, each working alone, can fill the pool in 8 seconds, 12 seconds, and 16 seconds, respectively. How long would it take to fill the pool if all three inlet pipes are used? 1 solutions Answer 451279 by josmiceli(9819)   on 2013-04-20 03:03:01 (Show Source): You can put this solution on YOUR website! Add the 3 pipe's rates of filling ( 1 pool filled ) / ( 8 sec ) + ( 1 pool filled ) / ( 12 sec ) + ( 1 pool filled ) / ( 16 sec ) = ( 1 pool filled ) / ( t sec ) Multiply both sides by With all 3 pipes used, the pool is filled in 3.6923 sec check: close enough

Travel_Word_Problems/739725: Sally can clean the house in 8 hours, her father can clean the house in 6 hours, and her younger brother, Dennis, can completely mess up the house in 10 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house? 1 solutions Answer 451278 by josmiceli(9819)   on 2013-04-20 02:52:30 (Show Source): You can put this solution on YOUR website! Add Sally and Father's rates of cleaning, then subtract Dennis's rate of messing up. ------------ Sally's rate: ( 1 house cleaned ) / ( 8 hrs ) Father's rate: ( 1 house cleaned ) / ( 6 hrs ) Dennis's rate: ( 1 house messed up ) / ( 10 hrs ) Rate with all 3 together: ( 1 house cleaned ) / ( t hrs ) ------------ Multiply both sides by approximately It will take 5 hrs and 13 min to clean the house check: OK