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# Recent problems solved by 'josmiceli'

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 Percentage-and-ratio-word-problems/559845: Tempco Corporation has a machine that produces 12½ baseball gloves each hour. In the last 2 days, the machine has run for a total of 22 hours1 solutions Answer 363536 by josmiceli(9698)   on 2012-01-19 21:15:27 (Show Source): You can put this solution on YOUR website!Number of baseballs =
 Money_Word_Problems/559826: Sam did 4 loads of laundry and it cost her \$9. She did 6 loads of laundry and it coat her \$13.50. Assume a linear relationship exists between the cost and the number of loads of laundry. How much will Sam pay for 5 loads of laundry? Thank You for the help. 1 solutions Answer 363532 by josmiceli(9698)   on 2012-01-19 20:58:55 (Show Source): You can put this solution on YOUR website!Plot Cost on the vertical axis Plot Loads on the horizontal axis Use the point-slope formula to get the equation Multiply both sides by For 5 loads of laundry, He pays \$11.25 for 5 loads
 Miscellaneous_Word_Problems/559817: Hi, my name is Courtney. May you help me with this problem, I can not figure this out. (One number is 28 more than three times another number. If each number were multiplied by four, their difference would be 232. What are the numbers?). Thank you.1 solutions Answer 363531 by josmiceli(9698)   on 2012-01-19 20:49:01 (Show Source): You can put this solution on YOUR website!I can see why you have trouble. It's hard to read. Call the numbers and given: (1) From this data, you can see that is the larger number You can use this fact in the next equation (2) -------------------- (1) and Divide both sides of (2) by (2) Subtract (1) from (2) (2) (1) and, since (2) (2) (2) (2) The numbers are 73 and 15 check: (1) (1) (1) (1) and (2) (2) (2) (2) (2) OK
 Travel_Word_Problems/559638: at a speed of 60mph(about 28 m/s) how far does your car travel in 3 seconds? in 10 seconds? since a full size car has a length of about 5m how many car lengths do these distances represent?1 solutions Answer 363484 by josmiceli(9698)   on 2012-01-19 16:28:07 (Show Source): You can put this solution on YOUR website! m/sec x sec = m m/sec x sec = m ----------- m / (m/car length) = car lengths m / (m/car length) = car lengths
 Travel_Word_Problems/559631: It takes me 20 minutes to drive to work when I drive 50mph. How long will it take me to get to work if I drive 40mph instead of 50? 1 solutions Answer 363481 by josmiceli(9698)   on 2012-01-19 16:20:46 (Show Source): You can put this solution on YOUR website! minutes x hours/minutes = hr given: mi -------------- hrs hrs hrs x minutes/hr = min It will take 25 minutes driving at 40 mi/hr
 Mixture_Word_Problems/559563: Roman mixes 12 liters of 8% acid solution with a 20% acid solution which results in a 16% acid solution. Find the number of liters in 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem. I have no idea what to do could you please help me? 1 solutions Answer 363464 by josmiceli(9698)   on 2012-01-19 14:24:18 (Show Source): You can put this solution on YOUR website!I can show you step by step, then you can make a table. Let = liters of 20% acid solution needed given: = liters of acid in 8% solution = liters of acid in 20% solution = liters of final solution -------------- 24 liters of 20% solution are needed check answer: OK To make a table, just make columns for , , , and
 Human-and-algebraic-language/559554: Charle buys 1/4 pound of walnuts, 1/3 pound of almonds, and 1/6 pound of pecans. How many pounds of nuts did he buy altogether? Express answer in lowest terms1 solutions Answer 363460 by josmiceli(9698)   on 2012-01-19 13:55:47 (Show Source): You can put this solution on YOUR website! The LCD is Divide top and bottom by He bought 3/4 of a pound altogether
 Functions/559538: How Do You Know If A Parabola Is A Function ?1 solutions Answer 363458 by josmiceli(9698)   on 2012-01-19 13:49:43 (Show Source): You can put this solution on YOUR website!If is the equation, then there can be only 1 value of for each , but there can be 1 or 2 values of for a given value of
 Percentage-and-ratio-word-problems/559533: In the cafeteria, the ratio of the number of girls to boys is 6:7. When 117 girls enter the cafeteria, the new ratio of girls to boys became 7:6. How many pupils were in the cafeteria at first?1 solutions Answer 363457 by josmiceli(9698)   on 2012-01-19 13:41:31 (Show Source): You can put this solution on YOUR website!Let = the original ratio of girls to boys given: (1) (2) --------------------- (1) (1) and (2) (2) (2) (2) (2) and (1) (1) (1) There were pupils in the cafe at first check answer: (2) (2) (2) (2) (2) OK
 Rate-of-work-word-problems/559531: By himself Tim can complete his paper route in 120 minutes. With the help of Sue it takes 90 minutes. How many minutes would it take sue to do the route by herself?1 solutions Answer 363456 by josmiceli(9698)   on 2012-01-19 13:25:11 (Show Source): You can put this solution on YOUR website!Let = minutes it takes Sue to do the route by herself Tim's rate of working = ( 1 paper route ) / ( 120 minutes ) Sue's rate of working= ( 1 paper route ) / ( t minutes ) Rate working together = ( 1 paper route ) / ( 90 minutes ) ------------------------ Add their rates of working to get rate working together Multiply both sides by It takes Sue 360 minutes to do the route by herself
 Mixture_Word_Problems/559528: how much 2% alcohol must be mixed with 18% alcohol to get 4,000 ml of 3% alcohol?1 solutions Answer 363455 by josmiceli(9698)   on 2012-01-19 13:11:12 (Show Source): You can put this solution on YOUR website!Let = ml of 2% alcohol needed Let = ml of 18% alcohol needed given: = ml of alcohol in 3% solution (1) ml (2) ml -------------------- (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and (1) (1) (1) (1) 3,750 ml of 2% alcohol and 250 ml of 18% alcohol are needed --------- check answer: (2) (2) (2) (2) OK
 Money_Word_Problems/559519: A builder of tract homes reduced the price of a model by 15%. If the new price is \$170,000, what was its original price? How much can be saved by purchasing the model?1 solutions Answer 363454 by josmiceli(9698)   on 2012-01-19 12:56:29 (Show Source): You can put this solution on YOUR website!Let the original price = given: The original price was \$200,000 By purchasing the model, \$30,000 is saved
 Rational-functions/559516: sketch the graph y=x^2+7x+10/x^2+17x+161 solutions Answer 363447 by josmiceli(9698)   on 2012-01-19 12:27:15 (Show Source): You can put this solution on YOUR website!Here's the graph: Note that becomes infinite when because of the term
 Travel_Word_Problems/559514: If Alex rides his motorbike at the rate of 75kph, he will arrive home after 20 minutes. However, if the street is wet, he has to slow down to 50 kph. In this condition, how long will it take him to reach home?1 solutions Answer 363446 by josmiceli(9698)   on 2012-01-19 12:18:52 (Show Source): You can put this solution on YOUR website!Let = time in hours In dry conditions, km minutes x hours/minutes = hr km ------------ In wet conditions: hrs It will take him a half hour to reach home
 Linear_Equations_And_Systems_Word_Problems/559513: A truck gets 15 miles per gallon. The number of gallons g required to drive m miles is given by the formula: g = m / 15 How many gallons are required to travel 250 miles? Round your answer to 1 decimal place.1 solutions Answer 363445 by josmiceli(9698)   on 2012-01-19 12:11:46 (Show Source): You can put this solution on YOUR website!given: mi ------------- gallons
 Volume/559510: a rectangular solid has length 2 feet, width 18 inches, and height 1 foot. what is the volume of this solid, in cubic feet? 1 solutions Answer 363444 by josmiceli(9698)   on 2012-01-19 12:08:18 (Show Source): You can put this solution on YOUR website!Convert 18 inches to feet inches x feet/inches = ft Volume = The volume is 3 ft3
 Travel_Word_Problems/559495: jeff traveled 200 miles, partby car and the rest by train. express each using the same variable?1 solutions Answer 363443 by josmiceli(9698)   on 2012-01-19 12:04:27 (Show Source): You can put this solution on YOUR website! = distance traveled by car = distance traveled by train
 Travel_Word_Problems/559322: A boat traveled 210 miles downstram and back. the trip downstram took 10 hours. the trip back took 70 hours. what is the speed of the boat in still water? what is the speed of the current?1 solutions Answer 363370 by josmiceli(9698)   on 2012-01-18 22:24:22 (Show Source): You can put this solution on YOUR website!Let = speed of boat in still water Let = speed of current = speed going downstream = speed going upstream ------------------------------ Going downstream: (1) Going upstream: (2) ------------------- (1) (2) Multiply both sides of (1) by and add the equations (1) (2) and (1) (1) (1) (1) 12 mi/hr = speed of boat in still water 9 mi/hr = speed of current check answer: (2) (2) (2) (2) OK
 Exponents/559338: Could you help me solve the equation of 1 solutions Answer 363364 by josmiceli(9698)   on 2012-01-18 22:01:17 (Show Source): You can put this solution on YOUR website! You can solve by completing the square. Take 1/2 of the coefficient of , square it, and add it to both sides Take the square root of both sides and also, taking the negative square root, ------------------ I will attempt to check the 1st solution OK You can check the other solution,
 Miscellaneous_Word_Problems/559325: Cashews sell for \$1.20 per quarter-pound, and Brazil nuts sell for \$1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to obtain a mix that sells for \$1.30 per quarter-pound?1 solutions Answer 363360 by josmiceli(9698)   on 2012-01-18 21:46:50 (Show Source): You can put this solution on YOUR website!Let = pounds of cashews needed given: = total pounds of mixture is cost/pound of cashews is cost/pound of Brazil nuts is cost/pound of mixture -------------- 40 pounds of cashews are needed check answer: OK
 Linear-systems/559301: Hi, I will like to know if this is the answer for this Linear Equation: -2x-y=-9 5x-2y=18 The answer that i got was (0,-9) I will like to know if that's right or not...1 solutions Answer 363358 by josmiceli(9698)   on 2012-01-18 21:28:32 (Show Source): You can put this solution on YOUR website!(1) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and (1) (1) (1) (1) The solution is (4,1) Here's a plot of the 2 equations:
 Trigonometry-basics/559304: find sin 3001 solutions Answer 363354 by josmiceli(9698)   on 2012-01-18 21:11:47 (Show Source): You can put this solution on YOUR website!300 degrees is in the 4th quadrant where the Sine is always negative. If you drop a vertical to the horizontal axis, it forms a 60 degree angle with the horizontal. That is because there is 60 degrees left to go 360 degrees, or full circle. The sine of 60 degrees in the 4th quadrant is
 test/559138: A pet shop has a total of 22 animals, all cats and. Birds Ther are a total of 60 legs in the pet shop How many birds does the pet shop have?1 solutions Answer 363315 by josmiceli(9698)   on 2012-01-18 18:27:38 (Show Source): You can put this solution on YOUR website!Let = number of cats Let = number of birds given: (1) (2) Multiply both sides of (1) by , and subtract (1) from (2) (2) (1) and, since (1) (1) (1) (1) There are 8 cats and 14 birds check: (2) (2) (2) (2) OK
 Percentage-and-ratio-word-problems/559114: What percentage of 29 is 31 solutions Answer 363314 by josmiceli(9698)   on 2012-01-18 18:17:53 (Show Source): You can put this solution on YOUR website!Percentage means " per one hundred " Let = the percentage 3/29 = 10.34%
 Pythagorean-theorem/559122: two angles of a right triangle are complementary and are in the ratio of 1:2 What are the measures of the three angles?1 solutions Answer 363313 by josmiceli(9698)   on 2012-01-18 18:10:21 (Show Source): You can put this solution on YOUR website!The 3 angles must add up to 180 degrees in any triangle. It is a right triangle, so 1 of the angles is 90 degrees Call the other 2 angles and (1) -------------- given: Multiply both sides by (2) Substitute (2) into (1) (1) (1) (1) and, since (1) (1) (1) The angles are 90, 60, and 30
 percentage/559069: in a class election 82% of the voters chose hilburn for presdient. if 350 students voted, how many votes did hilburn receive?1 solutions Answer 363303 by josmiceli(9698)   on 2012-01-18 16:45:53 (Show Source): You can put this solution on YOUR website! You can calculate it
 Trigonometry-basics/558972: Can you please show step by step how to solve this & make a graph? Y=4+5tan(2x-pi) 1 solutions Answer 363286 by josmiceli(9698)   on 2012-01-18 14:03:35 (Show Source): You can put this solution on YOUR website!You can think of this as the sum of 2 equations: -------------------- You need a table with 3 entries: , - , ---------------------------------- 0, -pi, 0 pi/4, -pi/2, -infinity pi/2, 0, 0 (3*pi)/4, pi/2, +infinity pi, pi, 0 (5*pi)/4, -infinity (3*pi)/2, 2*pi, 0 The values between zero and +- infinity all get multiplied bt , and then get added to them Here's the plot along with
 Quadratic_Equations/558969: Y=x^2 + 6x + 9 Identify the minimum value1 solutions Answer 363284 by josmiceli(9698)   on 2012-01-18 13:33:59 (Show Source): You can put this solution on YOUR website! I know that the curve has a minimum and not a maximum because the coefficient of the term is (+) and not (-) The form of the equation is The coordinate of the minimum is at Now plug this back into the equation to get The minimum is at (-3,0) Here's the plot:
 Polynomials-and-rational-expressions/558657: how do you factor 64x^3-9xy^2 completely?1 solutions Answer 363112 by josmiceli(9698)   on 2012-01-17 19:31:02 (Show Source): You can put this solution on YOUR website! Factor out answer
 Age_Word_Problems/558653: Please help me solve this two step equation - word problem A wise man once said, ''400 reduced by 3 times my age is 163'' What is his age? I got 187.6666 Please tell me if i got this right 1 solutions Answer 363110 by josmiceli(9698)   on 2012-01-17 19:26:28 (Show Source): You can put this solution on YOUR website!Let = his age given: He is 79