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Recent problems solved by 'josmiceli'

josmiceli answered: 9649 problems
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Inequalities/598373: How do you solve the Inequality of -2/5x -9 < 9/10 I know that you add 9 to both sides but then I'm stuck. I don't know how to do fractions. 1 solutions Answer 378557 by josmiceli(9652)   on 2012-04-12 22:07:19 (Show Source): You can put this solution on YOUR website! Add to both sides Multiply both sides by Divide both sides by This means you also have to reverse the inequality sign ------------ Note that To check my result, I'll make a little larger than ------------- and OK

Travel_Word_Problems/598284: how many revolutions per minute does 28in diameter wheel is traveling at 55 mi/hr? 1 solutions Answer 378532 by josmiceli(9652)   on 2012-04-12 19:23:43 (Show Source): You can put this solution on YOUR website! On the ground, the straight line travel of the wheel in 1 revolution is the circumference of the wheel. in/rev at 55 mi/hr, mi/hr x ft/mi x in/ft x hrs/min = in/min in/min and The wheel is turning at 66.331 rev/min

Percentage-and-ratio-word-problems/598280: A manager starts with a salary of 150000 dollars. After one year he received a 10% pay rise. After another year his pay is cut by 10%. What is his salary after this ? 1 solutions Answer 378526 by josmiceli(9652)   on 2012-04-12 19:02:30 (Show Source): You can put this solution on YOUR website! Call his starting salary After 1 year, he makes After the next year, he makes and His salary is $ 148,500

Linear_Algebra/597990: A stationery company sells two types of notepads to college bookstores, the first wholesaling for 50¢ and the second for 70¢. The company receives an order for 550 notepads, together with a check for $311. If the order fails to specify the number of each type, how should the company fill the order? 1 solutions Answer 378420 by josmiceli(9652)   on 2012-04-12 00:24:27 (Show Source): You can put this solution on YOUR website! Let = number of 50 cent notepads ordered Let = number of 70 cent notepads ordered -------- given: (1) (2) ----------------- (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 370 50 cent notepads were ordered 180 70 cent notepads were ordered check: (2) (2) (2) {2) OK

expressions/597989: i dont know what to do first in this equation: 3(2x-4)^2 1 solutions Answer 378417 by josmiceli(9652)   on 2012-04-11 23:11:15 (Show Source): You can put this solution on YOUR website! It's not an equation. You need an "=" sign somewhere to be an equation. What it is is an expression. You can expand it. To expand:

logarithm/597972: Solve: for x and state anything that needs to be rejected, solve using logs 5^(x^2-3x )= 625 THANKS SOO MUCH! 1 solutions Answer 378416 by josmiceli(9652)   on 2012-04-11 23:01:19 (Show Source): You can put this solution on YOUR website! Note that Let Take the log to base of both sides Both these answers work in original equation

Equations/597977: Help! If Jackson petra and Ty wentand collected shells. Jackson collected s seashells. Petra and Ty each collected 13 fewere than twice the number of shells Jackson collected. At the end they had 94 shells. How many did each person collect? Thanks for your help! 1 solutions Answer 378413 by josmiceli(9652)   on 2012-04-11 22:37:10 (Show Source): You can put this solution on YOUR website! Jackson collects shells Petra collects shells Ty collects shells The total is shells ---------------------- and Jackson collects 24 shells Petra collects 35 shells Ty collects 35 shells check: OK

Inequalities/597653: what is the solution of the inequality -6x-17>or equal to 8x+25? 1 solutions Answer 378269 by josmiceli(9652)   on 2012-04-11 14:21:20 (Show Source): You can put this solution on YOUR website! Add to both sides Subtract from both sides Divide both sides by State it from right to left ------------- check: Make a little smaller than Now OK

logarithm/597657: log(x+5)=log(5x-3) 1 solutions Answer 378262 by josmiceli(9652)   on 2012-04-11 14:09:29 (Show Source): You can put this solution on YOUR website! If the logs are equal, then the things that they are logs of have to be equal, so Is the original equation true? OK

Rate-of-work-word-problems/597625: It takes a small sprinkler 16 minutes longer to soak a lawn than it takes a larger sprinkler. working together, the sprinklers can soak a lawn in 6 minutes. How long would it take each sprinkler,working alone, to soak the lawn? 1 solutions Answer 378254 by josmiceli(9652)   on 2012-04-11 13:08:30 (Show Source): You can put this solution on YOUR website! Add their rates of soaking to get their rate of soaking together Let = the time in minutes for the larger sprinkler to soak lawn is the time in minutes for the smaller sprinkler to soak lawn -------------- Rate for larger sprinkler = ( 1 lawn ) / ( t min )\ Rate for smaller sprinkler = ( 1 lawn ) / ( t + 16 min ) Rate working together = ( 1 lawn ) / ( 6 min ) -------------- Multiply each sides by Complete the square Take the square root of both sides ( ignore the negative square root of ) and The smaller sprinkler takes 24 min The larger one takes 8 min check: OK

Expressions-with-variables/597630: Please simplify completely (-3x)(-5x)(2y) 1 solutions Answer 378252 by josmiceli(9652)   on 2012-04-11 12:53:12 (Show Source): You can put this solution on YOUR website!

Linear_Equations_And_Systems_Word_Problems/597401: A car’s speed is 30 miles per hour, and it begins to slow down at a constant rate of 6 miles per hour every 4 seconds. a) Write a linear function that relates the speed of the car S with the time since it began slowing down t. b) How fast will the car be going after 10 seconds? 1 solutions Answer 378182 by josmiceli(9652)   on 2012-04-10 21:55:58 (Show Source): You can put this solution on YOUR website! (a) mi/hr = mi/sec mi/sec mi/sec -------------------------- (b) After 10 sec: mi/sec mi/sec mi/sec ( mi/sec )x( sec/hr ) mi/hr The car will be going about 15 mi/hr

Travel_Word_Problems/597367: A container ship left Hawaii and travelled north at an average speed of 15 km/h. A cruise ship 1.9 hours later and traveled in the opposite direction with an average speed of 12.6 km/h. Find the number of hoours the cruise ship needs to travel before the vessels are 125.1 km apart. 1 solutions Answer 378158 by josmiceli(9652)   on 2012-04-10 21:20:55 (Show Source): You can put this solution on YOUR website! First find how many km head start the container ship has. km Let = the number of hours the cruise ship needs to travel before the vessels are 125.1 km apart. The container ship also travels for time after it's head start km km -------------- km The cruise ship travels for 3.5 hours until the vessels are 125.1 km apart

test/597363: How long would it take to $2,700 working 5 days a week, 8 hour days at 8 dollars an hour? 1 solutions Answer 378148 by josmiceli(9652)   on 2012-04-10 20:14:08 (Show Source): You can put this solution on YOUR website! There are hours worked in a week dollars/hour x hours = dollars/week weeks hrs days hrs It will take 8 weeks, 2 days, and 1.5 hrs check: hours dollars OK

Money_Word_Problems/597374: With the annual profit function p(x) = -.1^2 + 50x - 300, can you describe the meaning of the number -300 in the formula? 1 solutions Answer 378141 by josmiceli(9652)   on 2012-04-10 19:57:59 (Show Source): You can put this solution on YOUR website! looks like fixed expenses for the year

Age_Word_Problems/597336: In ten years from now, a father will be twice as old as his son. Ten years ago, he was 6 times as old. How old are they now? 1 solutions Answer 378139 by josmiceli(9652)   on 2012-04-10 19:55:29 (Show Source): You can put this solution on YOUR website! Let = Father's age now Let = Son's age now given: (1) (2) ------------------------ (1) (1) and (2) (2) Subtract (2) from (1) (1) (2) and (1) (1) (1) (1) The father is 40 The Son is 15 check: (1) (1) (1) (2) (2) (2) OK

Linear-systems/597325: Rosa has $3.10 in nickels and dimes. she has 10 less nickels than she has dimes. how many dimes and nickels does she have 1 solutions Answer 378123 by josmiceli(9652)   on 2012-04-10 19:04:59 (Show Source): You can put this solution on YOUR website! Let = number of nickels Let = number of dimes given: (1) (2) ( in cents ) -------------------------- Substitute (1) into (2) (2) (2) (2) (2) (2) and, since (1) (1) (1) She has 14 nickels and 24 dimes check: (2) (2) (2) (2) OK

Linear_Equations_And_Systems_Word_Problems/597012: how could you cut a 50- meter rope into three pieces- two of the same length and the third, 8 meters longer than the other two? 1 solutions Answer 378013 by josmiceli(9652)   on 2012-04-10 04:50:21 (Show Source): You can put this solution on YOUR website! Let = the length of the pieces that are equal. given: The lengths are: 14 m, 14 m , and 22 m

Money_Word_Problems/596996: The value of a new $400 bicycle decreases 20% per year. Find it's value after 2 and 3 years. 1 solutions Answer 378011 by josmiceli(9652)   on 2012-04-10 03:45:37 (Show Source): You can put this solution on YOUR website! after the 1st year, After the 2nd year, After the 3rd year, You can finish- I can't find calculator

Linear-systems/597018: solve 2x+3y+12z=900 1 solutions Answer 378010 by josmiceli(9652)   on 2012-04-10 03:31:54 (Show Source): You can put this solution on YOUR website! This can't be solved without more information. In order to solve it, the number of unknowns must equal the number of equations. So you are missing 2 equations

Numbers_Word_Problems/596531: our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beatsover a lifetime of 80 years. Round the decimal factor in your scientific notation to two decimal places. 1 solutions Answer 377774 by josmiceli(9652)   on 2012-04-08 20:31:45 (Show Source): You can put this solution on YOUR website! In terms of units: ( beats/minute) x ( minutes/hour) x ( hours/day ) x ( days/year ) x ( years/lifetime ) = beats/lifetime rounded off:

Travel_Word_Problems/596519: Ray and Sue leave the baseball stadium at the same time and head in the same direction. After 5 hours, Sue is 125 miles ahead of Ray. Sue's speed is 10 more than 2 times Ray's speed. Find the speeds of Ray and Sue. 1 solutions Answer 377772 by josmiceli(9652)   on 2012-04-08 20:21:13 (Show Source): You can put this solution on YOUR website! Let = Ray's speed in mi/hr = Sue's speed In 5 hours, Ray goes mi In 5 hours Sue goes mi ------------------- Ray's speed is 15 mi/hr Sue's speed is 40 mi/hr

test/596480: Hello math tutor. i need help on graphing this. i need to Graph the function: the axis of symmetry, the vertex, and the x-intercepts. Problem: Thank You! 1 solutions Answer 377757 by josmiceli(9652)   on 2012-04-08 18:49:25 (Show Source): You can put this solution on YOUR website! The axis of symmetry is a vertical line through the x-coordinate of the vertex The vertex is at when the equation is in the form Now find The vertex is at ( 1/4, -31/8 ) The axis of symmetry is ------------------------------- Find the x-intercepts by setting : : Use the quadratic formula and The roots are imaginary, so there are no x-intercepts here's a plot:

Linear_Equations_And_Systems_Word_Problems/596472: A pharmacist wants to make 18 ml of a 6% hydrogen peroxide solution. How many mls of 5% hydrogen peroxide must he mix with 7% hydrogen peroxide to make the desired solution? 1 solutions Answer 377755 by josmiceli(9652)   on 2012-04-08 18:24:43 (Show Source): You can put this solution on YOUR website! Let = ml of 5% solution needed Let = ml of 7% solution needed = ml of hydrogen peroxide in 5% solution = ml of hydrogen peroxide in 7% solution ---------------------------------------- given: (1) (2) -------------------------- (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 9 ml of 5% solution is needed 9 ml of 7% solution is needed check: (2) (2) (2) (2) (2) (2) OK

Rate-of-work-word-problems/596408: a push mower can mow a large area for 6 hours where as a mower with a riding mower van mow for 5 hours, working together how long will it take to mow the lawn 1 solutions Answer 377715 by josmiceli(9652)   on 2012-04-08 14:22:34 (Show Source): You can put this solution on YOUR website! Add their rates of mowing to get their rate working together Rate of push mower: ( 1 area ) / ( 6 hrs ) Rate of riding mower: ( 1 area ) / ( 5 hrs ) Let = time in hrs to mow 1 area working together Rate working together: ( 1 area ) / ( t hrs ) ------------------------- Multiply both sides by It will take 2.73 hrs This is about 2 hrs and 44 min ( .73*60 = 44 )

Travel_Word_Problems/596396: An express train travels 150 miles in the same time a freight train goes 100 miles. Find their average speeds if the freight train travels 20 mph less than the express train 1 solutions Answer 377712 by josmiceli(9652)   on 2012-04-08 14:14:23 (Show Source): You can put this solution on YOUR website! L:et = the same time for both trains in hours Let = the speed of the express train in mi/hr = the speed of the freight train in mi/hr ---------------- Equation for express train: (1) Equation for freight train: (2) ---------------- (2) Substitute (1) into (2) (2) (2) (2) (2) hrs ---------------- (1) (1) (1) (1) mi/hr and (2) (2) (2) (2) ----------------- The average speed of the express train in 60 mi/hr The average speed of the freight train in 40 mi/hr

Percentage-and-ratio-word-problems/596400: What is 1,200 over 3,000 simplified? 1 solutions Answer 377711 by josmiceli(9652)   on 2012-04-08 14:01:50 (Show Source): You can put this solution on YOUR website! Divide top and bottom by This doesn't change the value of the fraction. Do the division also answer

Quadratic_Equations/596397: how do i write a quadratic equation from: two people drop rocks from different heights at the same time. the first from 400ft and the second from 160ft.write two functions that describe the heights of the rocks.? 1 solutions Answer 377710 by josmiceli(9652)   on 2012-04-08 13:56:48 (Show Source): You can put this solution on YOUR website! The equations would be: (1) and (2) is in feet, is in seconds --------------------- Notice that for both (1) and (2), if ( just letting of rocks ), then (1) (2) ----------------- You also want to know , which means the rock has hit the ground. You don't want to ever be negative, since the rock would have to burrow into the ground. ------------------ The equations would be: (1) (1) (1) (1) Notice that in 5.1 sec, the stone is still resting on the ground, and hasn't burrowed into the ground as the equation would show, ( negative h ) and (2) (2) (2) (2) -----------------

Polynomials-and-rational-expressions/596265: How will the graph of 1/2x^2+3 change if the coefficient of x^2 becomes 2? 1 solutions Answer 377649 by josmiceli(9652)   on 2012-04-07 21:14:57 (Show Source): You can put this solution on YOUR website! Here are plots of and The plot is 4 times narrower since For the same , is about times greater

Equations/596272: x^4-5x^2-36 Help me. How do you factorize this problem? 1 solutions Answer 377644 by josmiceli(9652)   on 2012-04-07 21:04:47 (Show Source): You can put this solution on YOUR website! Let Complete the square Take the square root of both sides and, also ------------- The factoring is and, since This can be further factored into

Numbers_Word_Problems/596187: Larry has 66 music CDs. He has 2 times as many rock CDs as country CDs. He has 3 times as many rock CDs as hip-hop CDs. How many rock CDs does Larry have? Please show me the steps. 1 solutions Answer 377579 by josmiceli(9652)   on 2012-04-07 14:04:15 (Show Source): You can put this solution on YOUR website! Let = number of country CD's Let = number of rock CD's = number of hip-hop CD's ---------------------------- and ----------- By substitution: Multiply both sides by and, since also, Larry has 36 rock CD's check: OK