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# Recent problems solved by 'josmiceli'

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 Linear-equations/568784: How do I figure out how to find the slope of the line containing the following points of (5/6,-2) and (-1/3, -1/3)?1 solutions Answer 367128 by josmiceli(9680)   on 2012-02-06 20:43:46 (Show Source): You can put this solution on YOUR website!slope = ( change in y ) / ( change in x ) ( 5/6, -2 ) and ( -1/3, -1/3 ) slope = ----------------------- ---------------------- ---------------- -------------------
 Word_Problems_With_Coins/568778: What is the FEWEST number of coins you can use to make \$0.96?1 solutions Answer 367125 by josmiceli(9680)   on 2012-02-06 20:30:26 (Show Source): You can put this solution on YOUR website!3 quarters = .75 2 dimes = .20 1 cent = .01 ------------ total = .96 with 6 coins If 50 cent coins are allowed, then it's 5 coins
 Linear-systems/568770: How do I solve: y=x^3-2x^2+x-1 y=-x^2+3x-1 I substituted y=-x^2+3x-1 -x^2+3x-1=x^3-2x^2+x-1 0=x^3-x^2-2x Not sure what to do next1 solutions Answer 367124 by josmiceli(9680)   on 2012-02-06 20:21:58 (Show Source): You can put this solution on YOUR website! By substitution: Add to both sides Factor out The solutions are: You can verify these by plugging them back into
 Travel_Word_Problems/568764: Suppose your car gets 28 miles per gallon of gasoline, and you are driving at 55 miles per hour. Find the amount of gas used in one hour.1 solutions Answer 367118 by josmiceli(9680)   on 2012-02-06 20:08:01 (Show Source): You can put this solution on YOUR website!In terms of units: ( miles / hour ) / ( miles / gallon ) = gallons / hour given: 1.964 gallons of gas are used in 1 hour
 Miscellaneous_Word_Problems/568285: When Bert and Ernie merged their automobile dealerships, Bert had 10 more cars than Ernie. While 36% of Ernie's stock consisted of new cars, only 25% of Bert's stock consisted of new cars. If they had 33 new cars on the lot after the merger, then how many cars did each one have before the merger?1 solutions Answer 366897 by josmiceli(9680)   on 2012-02-05 23:29:01 (Show Source): You can put this solution on YOUR website!Let = number of cars Bert had Let = number of cars Ernie had given: (1) (2) --------------------- (2) Substitute (1) into (2) (2) (2) (2) (2) and (1) (1) (1) Bert had 60 cars Ernie had 50 cars check answer: (2) (2) (2) OK
 Numbers_Word_Problems/567957: find the triple of consecutive integers such that 11 times the largest of the integers is 46 more than the product of the other two1 solutions Answer 366822 by josmiceli(9680)   on 2012-02-05 11:04:13 (Show Source): You can put this solution on YOUR website!Call the integers , , and given: complete the square: also, ------------ If the numbers are: OK If the numbers are: OK The consecutive integers can be: 6,7, and 8 or 4,5, and 6
 Miscellaneous_Word_Problems/567917: A worker was paid \$4.50 per hour for a 40-hour week. The worker was paid an additional \$1.50 per hour for each hour over 40 hours per week. How much did the worker earn in 3 weeks if he worked 43 hours the first week, 42 hours the second week, and 45 hours the third week?1 solutions Answer 366819 by josmiceli(9680)   on 2012-02-05 10:52:07 (Show Source): You can put this solution on YOUR website!The worker's overtime was hrs for 3 weeks The worker's regular time was hrs The worker earned \$600 for 3 weeks
 Circles/567951: please help : the measure of a central angle of a sector is 36 degrees. the arc length of the sector is 4pi cm. what is the radius of the circle. 1 solutions Answer 366818 by josmiceli(9680)   on 2012-02-05 10:45:53 (Show Source): You can put this solution on YOUR website! degrees is of a full circle Let = circumference The arc length is cm The formula is: cm
 Travel_Word_Problems/567816: the train covers 90km in uniform speed.if speed is raised 15km/hr then train covers distance in half hour less.find the original speed.1 solutions Answer 366739 by josmiceli(9680)   on 2012-02-04 23:12:43 (Show Source): You can put this solution on YOUR website!Let = original speed in km/hr Let = time in hrs to cover km at speed given: (1) (2) ------------------------ (1) Substitute (1) into (2) (2) (2) (2) (2) (2) (2) (2) (2) Use quadratic formula ( I can't use the negative square root ) The original speed is 45 km/hr check answer: (1) (1) (1) hrs and (2) (2) (2) (2) OK
 Problems-with-consecutive-odd-even-integers/567750: The sum of three consecutive even integers is 234. what are the integers?1 solutions Answer 366677 by josmiceli(9680)   on 2012-02-04 17:49:51 (Show Source): You can put this solution on YOUR website!Let the integers be , , and given: The numbers are 76, 78, and 80
 Linear-equations/567748: Line A passes through the points (2k+3,4k-6) and (-2,16). Find the value of k, if line A has a slope of 0.1 solutions Answer 366676 by josmiceli(9680)   on 2012-02-04 17:44:48 (Show Source): You can put this solution on YOUR website! (2k+3,4k-6) and (-2,16) slope = ( change in y ) / ( change in x ) given: slope = change in y = change in y = check answer: slope = slope = slope = slope = OK
 Geometric_formulas/567568: photocopiers can reduce or enlarged an item being copied. the scale factor of the copy to the original is expressed as a percent. if you want the original to be one fourth the side of the copy, at what percent do you set the copier?1 solutions Answer 366617 by josmiceli(9680)   on 2012-02-04 03:46:32 (Show Source): You can put this solution on YOUR website!Note that " percent " means " per one hundred ", so "x" percent is given: Multiply both sides by se the copier to 25%
 Age_Word_Problems/567574: The sum of the digits of a two digit number is 9. If the digits are reversed, the number formed bears the ratio 3:8 to the original number. Find the original number (Ans. 77)1 solutions Answer 366616 by josmiceli(9680)   on 2012-02-04 03:39:25 (Show Source): You can put this solution on YOUR website!let the tens digit = Let the units digit = The actual number is The number with the digits reversed is given: (1) (2) ------------ Multiply both sides of (2) by (2) (2) (2) (2) (2) (2) Substitute (2) into (1) (1) (1) (1) (1) and, since (1) (1) (1) The original number is 72 check answer: (2) (2) (2) Multiply both sides by (2) (2) OK Note that the answer is impossible, since the digits have to add up to
 Probability-and-statistics/567576: what will you addto 5/8 to make it equal to 1? PLS.....ANSwer..????I NEED YOUR"E HELP1 solutions Answer 366615 by josmiceli(9680)   on 2012-02-04 03:20:45 (Show Source): You can put this solution on YOUR website!If you look at the sentence: { what ) ( added to ) 5/8 ( equals ) 1 ? Now just rewrite it + = Subtract from both sides So, if you plug this back into the sentence itself, 3/8 ( added to ) 5/8 ( equals ) 1 ------------------- Hope this helps
 Angles/567470: At what time between 7pm and 8pm will the minute hand be 90 degrees behind the hour hand?1 solutions Answer 366550 by josmiceli(9680)   on 2012-02-03 19:04:09 (Show Source): You can put this solution on YOUR website!Each hour mark on the clock is of a degree circle apart. That is degrees At 7 pm, the minute hand and hour hand are degrees apart The minute hand is moving at the rate of degrees/min The hour hand is moving at the rate of degree/min ------------------ Let = the degrees that the minute hand travels until it makes an angle of degrees with the hour hand Let = the degrees that the hour hand travels until it makes an angle of degrees with the minute hand Let = time in minutes until they are degrees apart ------------------ (1) (2) (3) ------------------ This is 3 equations and 3 unknowns, so it's solvable Substitute (2) and (3) into (1) (1) (1) (1) (1) (1) min sec The hands will be 90 degrees apart at 21 min and 49 sec past 7 PM hope I got it
 Travel_Word_Problems/567474: The Hopewells are moving across the country. Mr. Hopewell leaves 3.5 hours before Mrs. Hopewell. If he averages 40 mph and she averages 50 mph, how long wil it take Mrs. Hopewell to overtake Mr. Hopewell?1 solutions Answer 366543 by josmiceli(9680)   on 2012-02-03 18:34:53 (Show Source): You can put this solution on YOUR website!How much of a head start does Mr. H get in hrs ? Start a stopwatch when Mrs. H leaves They both will travel for the same time, Let = distance Mrs. H has to travel until they meet Mrs. H's equation: Mr. Hl's equation: By substitution, hrs It will take her 14 hrs to overtake him
 Travel_Word_Problems/567478: A woman jogs for 2 km at 8 km/h and then walks for 2 km at 6 km/h. What is the average speed for the entire trip 1 solutions Answer 366542 by josmiceli(9680)   on 2012-02-03 18:22:17 (Show Source): You can put this solution on YOUR website!Average speed is ( total distance ) / ( total time ) hr hr ave speed = km/hr check answer: ave speed = ave speed = ave speed = ave speed = km/hr
 Mixture_Word_Problems/567479: Balsamic vinegar contains 5% acetic acid, so a 32-oz bottle of balsamic vinegar contains ounces of acetic acid.1 solutions Answer 366537 by josmiceli(9680)   on 2012-02-03 18:02:07 (Show Source): You can put this solution on YOUR website! oz
 Rate-of-work-word-problems/567449: 4 painters can paint a house in 3 days, at this rate, how many houses can 6 painters paint in 6 days?1 solutions Answer 366530 by josmiceli(9680)   on 2012-02-03 16:38:44 (Show Source): You can put this solution on YOUR website!If 4 painters can paint a house in 3 days, then 3 times as many painters can paint a house in 1/3 that time, so 12 painters can paint a house in 1 day ------------ 6 painters will take twice that time, or 6 painters paint 1 house in 2 days ------------ In 6 days, the 6 painters can paint 3 times as many houses, so in 6 days 6 painters can paint 3 houses
 Coordinate-system/567425: find the midpoint for (-1/3,1/3) and (-7/3,-5/3)1 solutions Answer 366528 by josmiceli(9680)   on 2012-02-03 16:10:13 (Show Source): You can put this solution on YOUR website!(-1/3,1/3) and (-7/3,-5/3) First, find the midpoint of the x-coordinates --------------------- ------------- ---------------- Then find the midpoint of the y-coordinates ------------------- ----------- -------- The midpoint is (-4/3, -2/3 )
 Linear-equations/567435: Which is a parallel line to 3x-y=-9? -6x-y=-9 -x+3y=-9 -6x+2y=-9 -6x-2y=-91 solutions Answer 366524 by josmiceli(9680)   on 2012-02-03 15:52:55 (Show Source): You can put this solution on YOUR website!Compare the slopes of the lines First, put them all in the form , where is the slope -------------- (1) ------------- (2) ------------- (3) ------------- (4) ------------- (5) ------------- The slope that matches the slope of equation (1) is equation (4): (1) (4) for both
 Numbers_Word_Problems/567263: At 8:00P.M., there are 243 people in line for a ride at an amusepark. Every 12 minutes starting at 8PM., 42 people are able to enter the ride. a boy gets in line at 8:00 P.M. Will he get to ride before the ride shuts down at 9:00 P.M.? explain1 solutions Answer 366492 by josmiceli(9680)   on 2012-02-03 05:33:44 (Show Source): You can put this solution on YOUR website!Since , the groups of 42 people will be able to get on 5 times starting at 8 PM , so 210 people can get on in one hour, leaving the boy still in line with 33 people when the ride shuts down
 Mixture_Word_Problems/567250: how many liters of pure acid must grace add to four liters of a 10% acid solution to increase the strength to 80%1 solutions Answer 366491 by josmiceli(9680)   on 2012-02-03 05:27:14 (Show Source): You can put this solution on YOUR website!Let = liters of pure acid to be added liters of acid in 10% solution --------------- 14 liters of pure acid is needed check: OK
 Travel_Word_Problems/567271: A car starts with the speed 60 km/hr from prayad at 3 p.m. After 1 hour a second car starts with the speed 80 km/hr on the same track to cross to the first car. After how many kms the second car wil meet the first? 1 solutions Answer 366490 by josmiceli(9680)   on 2012-02-03 05:18:39 (Show Source): You can put this solution on YOUR website!The 1st car gets a head start of hr In hr, it travels km Count time when the 2nd car leaves. Let = time in hours until they meet Let = distance 2nd car travels until they meet ----------------- Equation for 2nd car: Equation for 1st car: -------------- By substitution: -------------- When both cars have traveled 240 km, they will meet
 Numeric_Fractions/567164: what is 12 and 1/3 subtract 7 and 5/61 solutions Answer 366442 by josmiceli(9680)   on 2012-02-02 22:01:40 (Show Source): You can put this solution on YOUR website!First, note that so, answer
 Linear_Equations_And_Systems_Word_Problems/567146: The height, h (in feet), of a falling object on Mars is given by h=-6t2+s , where t is the time in seconds and s is the initial height in feet. If an object were dropped from a height of 125 feet, how long would it take to travel half the distance to the ground?1 solutions Answer 366440 by josmiceli(9680)   on 2012-02-02 21:30:01 (Show Source): You can put this solution on YOUR website! ft find when sec
 Linear-systems/567119: Birdseed costs \$0.59 a pound and sunflower seeds cost %0.89. Angela's pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for \$0.76 per pound. How many pounds of each type of seeds should she use? Please help me solve this application problem for systems of linear equations!1 solutions Answer 366439 by josmiceli(9680)   on 2012-02-02 21:12:55 (Show Source): You can put this solution on YOUR website!Let = pounds of birdseed needed Let = pounds of sunflower seeds needed given: (1) (2) --------------------------- (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and (1) (1) 17 and 1/3 pounds of birdseed are needed 22 and 2/3 pounds of sunflower seed are needed check answer: (2) (2) (2) (2) close enough, error due to rounding off
 Numeric_Fractions/567103: 1 1/4 divided by a=5 I am trying to help my son with this and we can't figure it out. Will you please show all the work so we can do the rest of his homework from your example? THANK YOU!!!1 solutions Answer 366433 by josmiceli(9680)   on 2012-02-02 20:39:17 (Show Source): You can put this solution on YOUR website!1 1/4 divided by 5 You can think of this as It's a little hard to imagine 1/4 divided into 5 equal parts, but if you multiply the top and bottom by , like this: , the value hasn't changed, and now you've got and it's easy to divide by ------------------- So far I've got Multiply top and bottom of by Now I have Divide top and bottom by answer --------------------------- (5/5) and (4/4) are just , so multiplying by them doesn't change the rest
 Age_Word_Problems/567094: Jon says: When I add 7 times my age 7 years from now to 11 times my age 11 years from now, I get 20 times my current age. How old will I be 5 years from now?1 solutions Answer 366432 by josmiceli(9680)   on 2012-02-02 20:22:30 (Show Source): You can put this solution on YOUR website!Let = Jon's age now = Jon's age 7 yrs from now = Jon's age 11 yrs from now = Jon's age 5 yrs from now given: In 5 yrs I will be 90 check: OK
 Numbers_Word_Problems/566626: The sum of the digits of a two-digit number is 8. The number with the digits interchanged is 14 more than 8 times the unit digit of the original.What is the number? 1 solutions Answer 366296 by josmiceli(9680)   on 2012-02-02 03:31:36 (Show Source): You can put this solution on YOUR website!Let = the tens digit Let = the units digit The number is given: (1) The number with the digits interchanged is (2) (2) (2) Subtract (1) from (2) (2) (1) and (1) (1) (1) (1) The number is 26 check answer: (2) (2) (2) OK
 Permutations/566618: Suppose that the format for license plates in a certain state is 2 letters followed by 4 numbers. - How many different plates are there if the letters can be repeated but no two numbers can be the same? - How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros? Thanks!1 solutions Answer 366295 by josmiceli(9680)   on 2012-02-02 03:19:23 (Show Source): You can put this solution on YOUR website!If the letters can be repeated but no two numbers can be the same if repetitions of numbers and letters are allowed except no plate can have 4 zeros