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Recent problems solved by 'josmiceli'

josmiceli answered: 9696 problems
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Length-and-distance/305804: The legs of a right triangle are 32 and 17 inches long, respectively. What is the area of the triangle? 1 solutions Answer 218932 by josmiceli(9698)   on 2010-05-18 10:34:35 (Show Source): You can put this solution on YOUR website! The legs are 32 in and 17 in in2

Finance/305402: a chemist is going to mix a 15% acid solution with a 45% acid solutionm how many liters of each solution should she mix in order to get 48 liters of a 20% acid solution? 1 solutions Answer 218649 by josmiceli(9698)   on 2010-05-17 11:40:42 (Show Source): You can put this solution on YOUR website! She ends up with liters of acid in 48 liters of solution Let = liters of 15% solution to use Let = liters of 45% solution to use (1) (1) (1) and (2) Multiply both sides of (2) by and subtract (2) from (1) --------------------- (1) (2) and She must mix 40 liters of the 15% solution with 8 liters of the 45% solution check answer: (1) (1) OK

test/305389: Solve the problem. When Mary's car's tire pressure is 30 pounds per square inch (psi), it averages 20.8 mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages 21.6 mpg of gasoline. If Mary drives an average of 20,000 miles per year, how many gallons of gasoline will she save in one year by increasing her tire pressure from 30 psi to 35 psi (round to the nearest unit)? Show your step by step work! 1 solutions Answer 218648 by josmiceli(9698)   on 2010-05-17 11:29:33 (Show Source): You can put this solution on YOUR website! Just looking at the units and no numbers: (miles driven) / (mi/gal) = gallons consumed -------------------------------------------- gallons consumed in a year gallons consumed in a year She saves 36 gallons in a year by increasing tire pressure

Equations/305393: Please help me solve this equation: 1 solutions Answer 218646 by josmiceli(9698)   on 2010-05-17 11:09:17 (Show Source): You can put this solution on YOUR website! Multiply both sides by Add to both sides check: OK

Equations/305392: Please help me solve this equation: Remove parenthesis and simplify the expression 1 solutions Answer 218643 by josmiceli(9698)   on 2010-05-17 11:05:15 (Show Source): You can put this solution on YOUR website!

percentage/305241: What percent of 80 is 18? Find 30% of 40 What is 75% of 320? 1 solutions Answer 218575 by josmiceli(9698)   on 2010-05-16 23:49:02 (Show Source): You can put this solution on YOUR website! per cent means "per one-hundred" 18 is 22.5% of 80 30% of 40 is 12 75% of 320 is 240

Average/305285: How many ounces of water should be evaporated from 90 ounces of a 10% salt solution in order to make a 15% salt solution 1 solutions Answer 218574 by josmiceli(9698)   on 2010-05-16 23:43:48 (Show Source): You can put this solution on YOUR website! Let = ounces of water to evaporate given: salt in 10% salt solution: In words (ounces of salt in 10% solution)/(ounces of final solution) = 15% ounces 30 ounces of water must be evaporated check answer: Removing 30 ounces of water from the ounces of water leaves ounces of water OK

Linear_Equations_And_Systems_Word_Problems/305253: Teresa has $3.60 in quarters & nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickles is equal to what number? 1 solutions Answer 218572 by josmiceli(9698)   on 2010-05-16 23:31:15 (Show Source): You can put this solution on YOUR website! I'll start quessing 1 quarter + 35 nickels = $2.00 2 quarters + 34 nickels = $2.20 3 quarters + 33 nickels = $2.40 8 quarters + 28 nickels = $3.40 9 quarters + 27 nickels = $3.60

Equations/305239: If an auto train was to travel from Chicago to San Fransciso at 60 mph (1863 miles apart) how long would it take? please include how you did it, thanks. 1 solutions Answer 218571 by josmiceli(9698)   on 2010-05-16 23:23:22 (Show Source): You can put this solution on YOUR website! given: mi mi/hr -------------- hr min The train would take 31 hrs and 3 min

Linear_Equations_And_Systems_Word_Problems/305257: A bus leaves Johnstown at noon heading for Djibouti, 350 miles away. A bus leaves Djibouti at the same time, heading to Johnstown at 35 m.p.h. If the two buses meet at 7 PM, what is the rate of the first bus? 1 solutions Answer 218570 by josmiceli(9698)   on 2010-05-16 23:18:05 (Show Source): You can put this solution on YOUR website! given: They both travel for hrs Bus 1: Bus 2: and mi/hr

logarithm/305274: what is the value of x in the equation (3^x)=148, expressed to the nearest hundreth? 1 solutions Answer 218567 by josmiceli(9698)   on 2010-05-16 23:10:12 (Show Source): You can put this solution on YOUR website!

Money_Word_Problems/305270: I sold property for $9000.00 at 10 % interest with the payments at $550.00 a month. how long will it take them to pay it off and how much interest will I make. 1 solutions Answer 218566 by josmiceli(9698)   on 2010-05-16 23:04:33 (Show Source): You can put this solution on YOUR website! It will take 18 months and you will make $900 interest

Linear_Equations_And_Systems_Word_Problems/305266: A car left the house traveling north at 10 A.M. Another car left the house traveling south two hours later. If the cars traveled at the same rate and were 550 miles apart at 4 p.m., what was the rate of each car? 1 solutions Answer 218565 by josmiceli(9698)   on 2010-05-16 23:01:40 (Show Source): You can put this solution on YOUR website! Write a separate equation or each car Car traveling north: Car traveling south: given: mi (call it ) Car 1 traveled north for hrs Car 2 traveled south for hrs ------------------------------------ mi/hr check answer: mi and mi mi OK

Money_Word_Problems/304947: I invested $2000 more in stocks paying 11% than in an account payomg 6%. If my average interest rate was 9 1/2%, how much did I invest in all? 1 solutions Answer 218449 by josmiceli(9698)   on 2010-05-16 12:31:44 (Show Source): You can put this solution on YOUR website! The average interest rate is: (interest income from 11% account + interest income from 6% account)/(total amount invested in both) = 9.5% Let = amount invested @ 6% Then = amount invested @ 11% and You invested $5000 in all check: OK

Mixture_Word_Problems/304983: One type of candy cost 60cents a pound while a second costs 80cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth 75cents a pound? Sat prep. Question. Ans. 24 nickels 1 solutions Answer 218448 by josmiceli(9698)   on 2010-05-16 12:17:28 (Show Source): You can put this solution on YOUR website! Let = pounds of $.60 candy needed Let = pounds of $.80 cent candy needed given: (1) In words: (cost of each type of candy used)/(pounds of candy used) = (cost of mixture)/(pounds of mixture) (2) Multiply both sides of (1) by and subtract from (2) (2) (1) and, since 5 pounds of $.60 candy and 15 pounds of $.80 candy are needed check: OK

Travel_Word_Problems/304987: The stopping distance of a car is the number of feet that the car travels after the Driver starts applying the brakes. The stopping distance of a certain car is directly Proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of 20 miles per hour is 17 feet, what is its stopping distance for an initial speed of 40 miles per hour? 1 solutions Answer 218445 by josmiceli(9698)   on 2010-05-16 12:02:56 (Show Source): You can put this solution on YOUR website! multiply both sides by ft

Mixture_Word_Problems/304985: How many quarts of grape juice worth $1.20 a quart should be mixed with 3 quarts of apple juice worth 90cents a quart to produce a punch worth $1.00 a quart? Sat prep. Question. Ans. 1 1/2 quarts 1 solutions Answer 218444 by josmiceli(9698)   on 2010-05-16 11:58:43 (Show Source): You can put this solution on YOUR website! Let = quarts of grape juice needed = cost of grape juice needed = cost of apple juice used In words: (cost of all juice)/(total quarts of all juice) = $1/(1 quart) quarts of grape juice needed

Finance/305013: I am having a hard time with something, could someone help please? How much money is 1.6 million dollars? I can't figure out if it should be $1,500,000 or $1,750,000, or something else altogether. I'm supposed to be working on line-item, performance, and program budgets and I can't get past this, great huh? I'd really appreciate some help, thanks a lot. 1 solutions Answer 218441 by josmiceli(9698)   on 2010-05-16 11:49:55 (Show Source): You can put this solution on YOUR website! ten dollars = $10 one hundred dollars = $100 one thousand dollars = $1,000 ten thousand dollars = $10,000 one hundred thousand dollars = $100,000 one million dollars = $1,000,000 You need to add .6 million to this to make 1.6 million dollars .6 = 6/10 (6/10) x 1,000,000 = 600,000 and 1,000,000 + 600,000 = 1,600,000 answer

Mixture_Word_Problems/304836: A 30-gallon solution is 80% salt. How much pure water must be added to produce a solution that is 60% salt? 1 solutions Answer 218376 by josmiceli(9698)   on 2010-05-15 23:19:52 (Show Source): You can put this solution on YOUR website! Let = gallons of water to be added gallons of salt in 80% solution 10 gallons of water must be added

Linear_Equations_And_Systems_Word_Problems/304928: the scrape yard where you recycle the materials pays.05 per pound of glass i'm supposed to write an eqaution that relates the weight of the recycled glass in pounds to the amount of money in dollars earned form recycling 1 solutions Answer 218375 by josmiceli(9698)   on 2010-05-15 23:11:38 (Show Source): You can put this solution on YOUR website! Let = value of recycled glass in dollars Let = weight of recycled glass in pounds

Finance/304930: Miguel's insurance company will replace his car if repair costs exceed 80% of the car's value. The car recently sustained $6400 worth of damage, but it was not replaced. what was the value of the car. 1 solutions Answer 218374 by josmiceli(9698)   on 2010-05-15 23:08:14 (Show Source): You can put this solution on YOUR website! The repair costs, $6400, did not exceed 80% of the car's value, so Let the car's value = The car's value was greater than or equal to $8000

Polynomials-and-rational-expressions/304649: Can you please help me with this problem? Throwing a wrench. An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= 16t^2  32t + 128. a) What is the height of the wrench after 1 second? b) How long does it take for the wrench to reach the ground? 1 solutions Answer 218171 by josmiceli(9698)   on 2010-05-14 20:23:51 (Show Source): You can put this solution on YOUR website! When sec The height above ground is 80 ft --------------------------------- When (the height above ground is zero) Solve using quadratic formula In 2 sec the wrench will reach the ground

Travel_Word_Problems/304549: While hiking the Peralta Trail to Wheeler’s Needle and back, Rick spent 60% of his time walking uphill to Wheeler’s Needle and 40% of his time returning by the same trail. If he averaged 2 miles per hour uphill, what was his average speed for the round-trip? A. 2 1/3 mph B. 2.25 mph C. 2.4 mph D. 2.5 mph E. 2.6 mph 1 solutions Answer 218063 by josmiceli(9698)   on 2010-05-14 10:40:27 (Show Source): You can put this solution on YOUR website! Let = his time walking uphill The ratio (time walking uphill)/(time walking downhill) = t/(time walking downhill) = = time walking downhill For uphill: For downhill: mi/hr ------------------ The average speed is (total distance)/(total time) Total distance = The time for uphill = The time for downhill = mi/hr

Miscellaneous_Word_Problems/304546: Mix A has 2 cups concentrate and 3 cups water. Mix B has 1 cup concentrate and 4 cups water. You are going to assume each camper will get 1/2 cup of juice. For each recipe, how much concentrate and how much water are needed to make juice for 240 campers? 1 solutions Answer 218053 by josmiceli(9698)   on 2010-05-14 10:05:12 (Show Source): You can put this solution on YOUR website! 1/2 cup of juice for each of 240 campers is 120 cups with the proportions 2 parts concentrate to 3 parts water for mix A. Each cup contains cups concentrate and cups water for 120 cups: cups concentrate and cups water ------------------------- Mix B has 1 part concentrate to 4 parts water each cup has cup concentrate and cup water For 120 cups that is cups concentrate and cups water

Rational-functions/304241: find the slope for (0,0)(4,6) 1 solutions Answer 217907 by josmiceli(9698)   on 2010-05-13 15:29:02 (Show Source): You can put this solution on YOUR website! The slope is (change in y)/(change in x) The points are in the format (x,y) You can say (x1,y1) = (0,0) (x2,y2) = (4,6) (change in y)/(change in x) = (y2 - y1)/(x2 - x1) answer

Trigonometry-basics/304230: please change 45 degrees into radians but I need to see how you worked the problem out 1 solutions Answer 217906 by josmiceli(9698)   on 2010-05-13 15:21:27 (Show Source): You can put this solution on YOUR website! The relation that you need is This converts degrees to radians You have 45 degrees In order to convert the units to radians, you need (degrees)*(radians/degrees) The degrees cancel and you're left with radians degrees x radians/degrees =

Linear_Equations_And_Systems_Word_Problems/304101: Using a 2 x 2 system of equations solve for: Wendy works two part time jobs to pay for college. She works in a diner that pays $6.35 an hour and as a cashier that pays $12 an hour. Last week, she worked 8 more hours in the diner than as a cashier and earner $132.75. How many hours did he work at each job? You're help is greatly appreciated! 1 solutions Answer 217869 by josmiceli(9698)   on 2010-05-13 09:21:19 (Show Source): You can put this solution on YOUR website! Let = number of hours she worked as a cashier last week Then = number of hours she worked in diner given: = earnings last week as cashier (in cents) = earnings last week in diner ---------------------------- This comes out 4 hrs 28 min as cashier and 12 hrs 28 min at diner check: (error due to rounding off)

Inequalities/304099: i just don't understand this 3x-7<2x+1 Can you please show me step by step? thank you 1 solutions Answer 217864 by josmiceli(9698)   on 2010-05-13 08:56:22 (Show Source): You can put this solution on YOUR website! Add to both sides Subtract from both sides answer You can test this by plugging in 7.99 and then 8 into the inequality true and then This is not true, so looks correct

Problems-with-consecutive-odd-even-integers/304107: if k is a positive integer,what is the least value of k for which sqrt (5k/3) is an integer? A 3 b 5 c 15 d 25 e 60 1 solutions Answer 217860 by josmiceli(9698)   on 2010-05-13 08:44:28 (Show Source): You can put this solution on YOUR website! In order for to be an integer, must be divisible by I'll create a new variable and I have which must be an integer, so must be a perfect square. gives me the smallest square The answer is c

Bodies-in-space/302449: hi i am a student of grade 2 and i have a question in my home work that how many faces/edges and vertices does a cylinder has? 1 solutions Answer 216842 by josmiceli(9698)   on 2010-05-09 19:35:00 (Show Source): You can put this solution on YOUR website! Try to make a cylinder out of a piece of paper by taping an opposite pair of edges together. You can see that it has an inside and an outside surface, so surfaces = 2 The only edges are the circular edge at one end and the circular edge at the other end, so edges = 2 Vertices are where 2 edges meet, and the edges don't meet, so vertices = 0

Travel_Word_Problems/302429: Smith travels 45 miles going East from the center of the town and Jones travels 70 miles going West from the same point. If Jones averages 5 miles per hour more than Smith and his trip took ½ hour longer than Smith’s. How fast was each of them traveling? 1 solutions Answer 216838 by josmiceli(9698)   on 2010-05-09 19:28:31 (Show Source): You can put this solution on YOUR website! Let = Smith's speed Then = Jone's speed Let = Smith's time Then = Jone's time Write an equation for each one For Smith: For Jones: This is 2 equations and 2 unknowns, so it's solvable by substitution: by substitution again: Multiply both sides by Multiply both sides by Use quadratic formula There's a choice of 2 answers. I'll try check: hrs and hrs hrs ---------------------- also: check: hrs hrs There are 2 possibilities: (1) Smith traveled 30 mi/hr Jones traveled 35 mi/hr (2) Smith traveled 15 mi/hr Jones traveled 20 mi/hr