Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 118717: The 42km drive from Oakdale to Ridgemont usually takes 28 min. Because highway construction requires a reduced speed limit, the trip now takes 14 min longer. Find the reduced speed limit in km/h.
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Question 119577: Solve by the substitution method
3d+e over 4 = d+1 over 2
d-e over 4 = 1


If anyone can answer this problem I would greatly appreciate it. Please and Thank You

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Question 119770: Stan invested $5,000, part at 8% and part at 17%. If the total interest at the end of the year is $490, how much did he invest at 8%?

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Question 119880: I've been trying to work this problem, but I'm stumped. I have been trying it with the variable rate equations A=RB and variable rate + fixed rate = total rate. Here is the problem: A 60watt bulb cost 50 cents to buy and 12 cents per day to use (24hrs). Another bulb cost $2.50 to buy and 2 cents per day to use. How many days of use will it take for the cost of the bulbs to be equal and what is the equivalent cost?
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Question 119880: I've been trying to work this problem, but I'm stumped. I have been trying it with the variable rate equations A=RB and variable rate + fixed rate = total rate. Here is the problem: A 60watt bulb cost 50 cents to buy and 12 cents per day to use (24hrs). Another bulb cost $2.50 to buy and 2 cents per day to use. How many days of use will it take for the cost of the bulbs to be equal and what is the equivalent cost?
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Question 104837: In a collection of nickels and dimes the number of dimes is 3 more than twice the number of nickels. If the value of the collection is $1.80, how many coins are there?
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Question 121594: 2y+x=1
y-2x=8
But I really need help with it all.

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Question 121885: Famer Brown had some animals. One-fourth were horses, one-half were cows, and the rest were pigs. He had 8 pigs. How many animals did he have altogether?
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Question 122130: soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lb mixture that is 10% protein
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Question 123268: One fourth of a number is two more than one fifth of the number. Find the number.
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Question 123268: One fourth of a number is two more than one fifth of the number. Find the number.
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Question 123315: evaluate these word problem
x-y-z
x=9
y=2 1/2
z=3 3/4

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Question 123414: PROBLEM SOLVING: HOW TO SOLV???
A weekend at the Beach Bay Hotel in Florida incledues 2 nights and 4 meals at the cost of $194. A week cost $650 for 7 nights and 10 meals. Fiind the cost for one night then the cost of one meal.

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Question 123418: A factory employs skilled labores at 25 an hour and un skilled at 12 an hour. The hourly cost of the factorys 24 workers is $405. Howmany of each type of laborer works at the factory?
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Question 123424: Probleam solving: How To SoLve:
Last week, Rebas Reptile store recived 1975 dollars for selling 35 reptiles. Iguanas sell for $75 and corn snakes sell for $25 how many iguanas and how many corn snake did Reba sell

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Question 123424: Probleam solving: How To SoLve:
Last week, Rebas Reptile store recived 1975 dollars for selling 35 reptiles. Iguanas sell for $75 and corn snakes sell for $25 how many iguanas and how many corn snake did Reba sell

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Question 123423:
PROBLEM SOLVING: hOW TO SoLve
Suppose your class recieves a $1084 for seeling 205 packages of greeting cards and gift wrap. If tyhe girft wrap is 4 dollars a package and the greeting cards are 10 a package, find the number of each type of package sold.

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Question 124047: The sum of two nubers is 94. The larger number is 8 less than twice the smaller number. What is the larger number?
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Question 123753: Tom's father is 3 times as old as Tom. 4 years ago, he was 4 times older. How old is Tom?
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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?
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Question 126892: If a + b = 6, what is the value of 3a + 3b?
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Question 127613: Here's my question.
There was a 10K race. 112 more men than women were entered in the race. The sum of men and women is 600. How many women were entered in the race?

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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?
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Question 128069: The sum of 2 numbers is 36. If 3 times the smaller number is subtracted from the larger number, the result if 4.
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Question 130407: If it rained 1 inch thick rain over 1 square mile, how much would the rain water weigh?
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Question 130407: If it rained 1 inch thick rain over 1 square mile, how much would the rain water weigh?
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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.

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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!!
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Question 132522: Fifteen (15) years ago Jennifer was quarter of the age she would be fifteen (15) years form now. How old is Jennifer?
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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.

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Question 133268: The length of a rectangle is fixed at 10cm. What widths will make the perimeter greater than 88cm?
The width must be greater than _______ cm.

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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

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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

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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

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Question 137328: 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 you

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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)

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Question 137224: Wanda weighed her 4 pet pigs in pairs. Together, Oinker and Squeaker weighed 110 pounds, Squeaker and Curly weighed 103 pounds, and Curly and Porker totalled 108 pounds. How many pounds would Oinker and Porker weigh together?
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Question 138327: the letter a represents angela's age now. Write an expression for her age in ten years?
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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

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Question 142694: 3.40 for 3 doughnuts and 2 coffees, then 3.60 for 2 doughnuts and 3 coffees. What is the bill for 1 doughnut and 1 coffee?
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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.
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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.

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Question 144125: A baseball team has 9 players, all of whom have equal skill in all positions. The team needs 3 outfielders. Assuming order is important, find the number of ways of forming an outfield with 3 outfielders?
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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?

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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

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