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Tutors Answer Your Questions about Evaluation Word Problems (FREE)
Question 125959: A red sports car leaves Madison traveling to Green Bay at 60 mi/hr. At the same time, a green minivan leaves Columbus traveling 40 mi/hour. Columbus is 30 miles closers to Green Bay than Madison. When will the sports car catch the minivan and at what distance from Madison?
Click here to see answer by ankor@dixie-net.com(6693)   |
Question 127615: Suppose a scientet makes two measurements x1 and x2 of a quantity whose true measure x is not known. The errors are then x-x1 and x-x2. What number can be assigned to x so that the sum of the squares is a mininum?
Click here to see answer by stanbon(26274)  |
Question 130652: You have Two pieces of ropes of equal lenths. The first piece is 3 times the length of a piece of wood minus 2 inches the second piece is 3 times the lengh of the same piece of wood plus 15 inches. solve equation and graph. I understand 3x-2 and 3x+15 x is the variable for the wood. But I'm not sure how to put it in the correct equation. Would it just be 3x-2=3x+15. Once I get the equation I can solve it but I am not sure how to graph it.
Thank you for your help.
Click here to see answer by ptaylor(1578)  |
Question 130894: Find the length of each side of a triangle if the perimeter is 73. The length of the second side is twice the length of the first side and the length of the third side is five more than the length of the first side. I have no idea!!
Click here to see answer by dddiwakar_2004(2) |
Question 132967: The church youth group is planning a trip to Washington. A total of 127 people need rides. The church has available buses that hold 40 passengers, and several parents have volunteered station wagons that hold 8 passengers or sedans that hold 5 passengers. The youth leader is planning to use nine vehicles to transport the people. One parent said that if they didn't use any buses, tripled the number of station wagons, and doubled the number of sedans, they would be able to transport 126 people. How many buses, station wagons and sedans are they planning to use if they use 9 vehicles?
Where:
B = Bus
W = Wagon
S = Sedan
Indicate the algebraic equations used to solve this problem and then solve for the unknowns.
Click here to see answer by stanbon(26274) |
Question 133271: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 40 miles per hour. Train A passes a station at 7:10PM. If Train B passes the same station at 7:22PM, at what time will Train B catch up to Train B?
__:__ AM or PM
Click here to see answer by checkley71(8405) |
Question 133271: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and Train B is traveling at 40 miles per hour. Train A passes a station at 7:10PM. If Train B passes the same station at 7:22PM, at what time will Train B catch up to Train B?
__:__ AM or PM
Click here to see answer by vnbox(1) |
Question 133951: A,B and C can finish a job in 6 days. If B and C work together,the job will take 9 days, if A anc C work alone the job will take 8 days. In how many days each man working alone do the job? Thank you.
This is what I have so far
1/x + 1/y + 1/z = 1/6
1/y + 1/z = 1/9
1/x + 1/z = 1/8
This is where I got lost
Help please thank you
Click here to see answer by scott8148(3382)  |
Question 137328This question is from textbook Introductory Algebra
: Basketball Scoring: In a recent game of the 2004-2005 basketball season, the San Antonio Spurs scored 85 of their points on a combination of 39 two-and-three-point baskets. How many of each type of shot were made?
I am trying to get the logic of this problem....I know how to get the answers but I am having problems to set up the problem in two equations. If someone can explain how to read the problem, I would appreciate it very much. Thank youThis question is from textbook Introductory Algebra
Click here to see answer by stanbon(26274) |
Question 137362: There are two questions I need help with. Hope you can help, and thank you!!
1.The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parst of pure gold. Thus, 18 karat gold is 18/24, or 75% pure gold, 12 karat gold is 12/24, or 50%; and so on. How much 12 karat gold should be mixed with pure gold to obtain 60 grams of 16 karat gold?
2. An air rescue plane averages 300 miles per hour in still air. It carries fuel for 5 hours of flying time. If, upon takeoff, it encouters a wind of 30 miles per hour, how far can it fly and return safely? (assume that the wind remains constant)
Click here to see answer by stanbon(26274) |
Question 141596: Which process would you use to solve both of the following systems of equations, the addition method or the substitution method? Are they both applicable to use, or would one method be easier to use than the other? Please EXPLAIN your responses.
System 1:
x + y = 7
x - y = 9
System 2:
3x - 4y = 11
-2x + 3y = -7
Click here to see answer by Fombitz(2113)  |
Question 142745: A truck is loaded with sugar cane and driven to a sugar mill 50 km away. The truck is then off-loaded and returns empty. The speed of the loaded truck is five times slower than that of the empty truck. If the driving time to the mill and back is 2 hours and 30 minutes, calculate the speed of the loaded truck.
Click here to see answer by checkley77(7049) |
Question 144090: 3. A baseball team has 9 players, all of whom have equal skill in all positions. The team needs 3 outfielders. Assuming order is not important, how many possible combinations of outfielders are there? Put your formula/answer in cell A3.
4. The results of a recent survey indicate that 68% of households in the United States have internet access. If you randomly select 5 households, what is the probability that exactly 3 households will have internet access? Put your answer in cell A4. What is the probability that fewer than 3 households have internet access? Put your answer in cell A5. What is the probability at least three of them have internet access? Put your answer in cell A6. (False returns “exactly” amount”, whereas “true” returns the cumulative amount.)
5. Find the area under the standard normal curve to the left of z = -1.01. Put your answer in cell A7.
Click here to see answer by stanbon(26274) |
Question 144950: 1. In a survey, 1,000 kids were asked if they owned a pair of tennis shoes and if they owned Nike shoes. The results showed that 7 in 10 kids owned a pair of tennis shoes, and 1 in 5 kids owned Nike shoes. Of the kids surveyed that owned Nike shoes, 1 in 4 kids owned tennis shoes.
A. Find the probability that a randomly selected kid owns tennis shoes given that he or she owns Nike shoes.
B. Find the probability that a randomly selected kid owns Nike shoes and owns tennis shoes.
C. Are these two events (owning tennis shoes and owning Nike shoes) dependent or independent? Why or why not?
2. A corporation has a workforce of 3,000. 1,200 work in the finance department and 1,400 are men. Of the 1,200 that work in the finance department, 600 are men.
A. Let’s assume that the company conducts a poll to see how many employees are happy with their jobs. Employees are randomly selected. Find the probability that the selected employee is a man or an employee working in the finance department.
3. Suppose the NCAA finally decides to develop a playoff system for college football. Let’s assume that they want the top 8 teams to play and only 2 teams play on the field at the same time (naturally). How many different combinations of matches are possible between these 8 teams?
4. Through extensive research, it is known that 70% of men prefer to shop at Wal-Mart versus Target. You randomly select 5 men and ask them if they prefer to shop at Wal-Mart or Target.
A. Find the probability that exactly 3 of them prefer to shop at Wal-Mart.
B. Find the probability that fewer than 3 of them prefer to shop at Wal-Mart.
C. Find the probability that at least 3 of them prefer to shop at Wal-Mart.
5. The weight of adult male Chihuahuas is normally distributed, with a mean of 7 pounds and a standard deviation of 1.2 pounds. An adult male Chihuahua is randomly selected.
A. Find the probability that the Chihuahua ’s weight is less than 5 pounds.
B. Find the probability that the Chihuahua ’s weight is more than 8 pounds.
C. Find the probability that the Chihuahua ’s weight is between 5 and 8 pounds.
6. Scores on the GMAT (Graduate Management Admissions Test) are normally distributed, with a mean of 620 and a standard deviation of 120. Scores can be as high as 800. To be accepted into The Ohio State University’s Executive MBA program, it is recommended that applicants score in the top 10%. What is the lowest score that you can earn and still be considered for acceptance into the program?
7. A quality control technician at The Coca-Cola Company wishes to estimate the mean number of ounces that are in the 20 ounce bottle of Diet Coke. In a random sample of 50 bottles, the mean number of ounces is found to be 20.1 ounces with a standard deviation of 0.75 ounces. Assume a normal distribution. Construct a 95% confidence interval for all 20 ounce bottles of Diet Coke. What does this mean?
8. A quality control technician at The Coca-Cola Company wishes to estimate the mean number of ounces that are in the 20 ounce bottle of Diet Coke. In a random sample of 20 bottles, the mean number of ounces is found to be 20.1 ounces with a standard deviation of 0.75 ounces. Assume a normal distribution. Construct a 95% confidence interval for all 20 ounce bottles of Diet Coke. What does this mean?
9. In a survey of 1,000 people, 540 people said they prefer Pepsi over Coca-Cola. Construct a 99% confidence interval for the proportion of people who prefer Pepsi. What does this mean?
Click here to see answer by solver91311(5072)  |
Question 145112: Foul Ball. Suppose Charlie O'Brian hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
Use the formula S=-16t^2 + v0t + s0
For reference: If an object is given an initial velocity of v0 feet per second from a height of s0 feet, then its height S after t seconds is given by the formula : S=-16t^2 + v0t + s0
Click here to see answer by stanbon(26274) |
Question 145651: Help with 2 word problems
Solve the following applications problems using any method
A couple working towards retirement made two investments totaling $15,000. In one year, these investments yielded $1432 in simple interest. Part of the money was invested at 9% and the rest at 10% How much was invested at each rate?
A car travels 300 miles in the same amount of time that a car traveling 5 miles and hour slower travels 275 miles. At what speed (rate) is each car traveling?
With both of these I can get so far and I get stuck Thanks
Click here to see answer by Earlsdon(4900) |
Question 147568: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation.
I cannot figure how to express the information in the form of an equation. From the directions, it seems that all the information should be included in one equation, but I am at a loss. I did come up with the info below, but I am unsure if this is what is being asked. Any help would be appreciated.
t + d = 72 columns
6t + 9d = 480 marbles
Click here to see answer by stanbon(26274) |
Question 147818: soybean meal is 14% protein; cornmeal is 7% protein.how many pounds of each should be mixed together in order to get 280lb mixture that is 12% protein?
how many pounds of cornmeal should be in the mixture?
how many pounds of soybean meal should be in the mixture?
Click here to see answer by ankor@dixie-net.com(6693) |
Question 148366: a disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 11 minutes how many 30 second commercials were played that hour? How many 60 second commercials?
Click here to see answer by mangopeeler07(450) |
Question 148626This question is from textbook
: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading for the same crossing. How far is the train from the crossing?
This question is from textbook
Click here to see answer by tennisbuff07(20) |
Question 148628This question is from textbook
: The present value P that will amount to A dollars in N years with interests compounded annually at an interest rate R is given by
Find the present value that will amount to 50,000 in 20 years at 8% compounded annually
This question is from textbook
Click here to see answer by checkley77(7049) |
Question 151377: A merchant sold his entire stock of shirts and ties for $1000, the shirts being priced at 3 for $10 and the ties at $2 each. If he had sold only 1/2 of the shirts and 2/3 of the ties he would have collected $600. How many of each kind did he sell?
Click here to see answer by stanbon(26274) |
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