Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 328263: I need on how to solve this. Please show work. Thanks!
The Radioactive element americium-241 has a half-life of 432 years. Suppose we start with a 45-g mass of americim-241. How much will be left after 329 years? compute the answer to three significant digits.

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Question 328299: Sketch: y-2=-1/2x^2
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Question 328547: Solve each system, if possible. Thanks for any help you can provide.
3x+y+z=0
2x-y+z=0
2x+y+z=0
Click here to see answer by Alan3354(30937)

Question 328557: A recipe calls for 2/3 cups of diced green pepper. What calculation gives the number of diced green pepper that should be used to make 1/2 the recipe? I think the calculation would be 2/3 divided by 1/2. Please assist me with this problem.
Thanks,
Shawn
Click here to see answer by stanbon(57211)

Question 328560: The daily value for vitamin E is 30 International Units(IU) A capsule containing 400 IU of vitamin E provides what percent of the daily value?
Thanks,
Shawn
Click here to see answer by stanbon(57211)

Question 328955: The function P(d) = 1+d/33 gives the pressure in atmosphere (atm), at a depth d feet in the see. Find the pressure at 52 feet.

Thanks!
Click here to see answer by solver91311(16868)

Question 328055: 4. Take out a coin for the following problems:
a. Suppose you are going to flip a coin once. What is the set of possible outcomes for this?
b. Suppose you are going to flip a coin twice. What is the set of possible outcomes for this?
c. If flip a coin twice, what are the chances that you will get one head and one tail (i.e. one in three, one in four, etc.)? Use your answer to the question 4b to get your answer.

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Question 329112:
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Question 329118: The altitude of a triangle is 4 cm longer than it's base. If the area of the triangle is 30 cm square, find the base and it's altitude.
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Question 329182: Solve each system by addition:
4x+3= -3y
-x/7 + 4y/21= 1
/ are fractions
I know the answer is (-3,3)
can you show me how to do that?
Click here to see answer by josmiceli(9645)

Question 329272: Dry Cleaners. Claudio, a banking vice-president, took
17 neckties to Milto Cleaners. The rate for non-silk ties
is $3.25 per tie and for silk ties is $3.60 per tie. His total
bill was $58.75. How many silk ties did he have dry
cleaned?
Click here to see answer by Fombitz(13828)

Question 329547: susan is planning a vacation. the travel agent says the high temperature at the restort is 0 degrees celsius. what is the equivalent Fahrenheit temperature?

Finally Solve the problem for the unknown value of the variable F by substituting in the appropriate value of the known variable C in the formula F=9/5C+32. round your answer to 2 decimal places.

??? Degrees Fahrenheit
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Question 325899: After a 25% reduction, a picnic table is on sale for $120. What was the regular price?
Click here to see answer by qlible(1)

Question 329628: A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. If 500 cups were sold for a total of $2090, how many cups of each type were sold?
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Question 329803: if 2a+3b=9and 3a+2b=16 find the value of 3a-2b
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Question 329820: Model A takes 2hours to assemble and cost $25 per bike, to make.
Model B takes 3hours to assemble and cost $30 per bike, to make.
A company has a total of 34 hours and $350 per day to make models.
How many of each model can be made in a day? Solve equation using the substitution method or the elimination method
Click here to see answer by mananth(12270)

Question 330076: please help i dont understand how to do this
•Model A takes 2 hours to assemble.
•Model B takes 3 hours to assemble.
•Model A costs $25 to make per bike.
•Model B costs $30 to make per bike.
If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?

Click here to see answer by mananth(12270)

Question 330007: A temporary agency supplies temporary employees to other companies each workday. They pay an average of $10.00/hour and charge an average of $16.00/hour. Each temporary worker averages 160 hours per month on a job. For the office and its staff they have fixed operating costs of $18.00/month. In the month of February the company had a $10,542 net gain. How many employees did they have in February? (Be sure to show all of your work)
this is the problem that i am having hard time to solved.
Click here to see answer by mananth(12270)

Question 330067: each leeg of an isoceles triangle exceed twice by 5 inches find each side of the triangle if the perimeter is 5 feet?

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Question 330362: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile per hour)?

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Question 330498: Divide:

Write the result in simplest form

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Question 330474: one canned juice drink is 15% lemon juice; another 5% lemon juice how many liters each should be mixed together in order to get 0 litters that is the 10%lemon juice
Click here to see answer by Fombitz(13828)

Question 330730: a garden table and a bench cost $922 combinded. the garden table costs $72 more than the bench. what is the cost of the bench
Click here to see answer by dewasmaharaja(5)

Question 330848: The product of 7 and a number is 2 less than the number. What is the "number"? I know the answer is -1/3 my problem is how to derive that answer? Thank you very much for your help!
Click here to see answer by mananth(12270)

Question 331096: A solid rectangular door will measure 76 2/3 inches long and 41 1/4 inches wide; and will be 1 3/8 inch thick. How many cubic inches of wood will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer.
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Question 331120: The length of a rewctangle is 3 feet less than 4 times its width. If the perimeter of the rectangle is 64 feet, what are the dimension of the rectangle.

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Question 331155: the petty-cash drawer of a small office containing $16.25. If there were twice as many nickels as quarters and as many dimes as nickels and quarters combined, how many coins of each type were there?

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Question 331156: John can run a certain course in 9 min and henry can run it in 6 min. If they start at opposite ends and run toward one another, how long will they run before they meet?
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Question 331159: Charles and Paul enter the Center Poin-Comfort Hill Country Run. Charles runs at 8 mi/h and Paul at 6 mi/h. If they start together, how long before charles is 1/4 mi head of Paul?
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Question 331160: John can run a certain course in 9 min and henry can run it in 6 min. If they start opposite ends and run toward one another, how long will they run before they meet?
Click here to see answer by ankor@dixie-net.com(15622)

Question 331157: Charles and paul enter the Center Point-Comfort Hill Country Run. Charles runs at 8 mi/h and paul at 6 mi/h. If they start together, how long before charles is 1/4 ahead of paul?
Click here to see answer by ankor@dixie-net.com(15622)

Question 331364: The length of a rectangle is 14 more than the width. The perimeter of the rectangle is 264 meters. What are the dimensions of the rectangle?
Please help!
Click here to see answer by Earlsdon(6287)

Question 331492: Suppose y varies inversely with x, and y=15 when x=40. Find an equation of variation for x and y.
Click here to see answer by nyc_function(2733)

Question 331708: Two students are 350 m apart and begin walking toward one another at constant rates. One travels at 1.6 m/s and other at 1.9 m/s. how long will they walk until they meet? how far has each of them gone?
Click here to see answer by rfer(12644)

Question 331707: Two students are 350 m apart and begin walking toward one another at constant rates. One travels at 1.6 m/s and other at 1.9 m/s. how long will they walk until they meet? how far has each of them gone?
Click here to see answer by mananth(12270)

Question 331746: A chemical mixing tank can be filled by two hoses. One requires 42 min to fill the tank , and the other 30 min . If both hoses are used, how much time is needed to fill the tank?
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Question 331745: Three people using word processor worked together preparing a group of form letters . Koonce could have done them alone in 2 h, Schaeffer in 3 h and Yeldell in 2h. how long did they need to do the letters working together?
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Question 331744: Mrs Windell spent 1 h addressing one-third of the family christmas cards, and Mr. Windell spent 1 ¼ h addressing another third. Continuing the addressing together, how long did they take to finish the rest of the cards?
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Question 331743: Lyman can mow the family yard in 75 mins, while Jean can mow it in 60 mins. If they worked together, how long will be needed for the job?
Click here to see answer by mananth(12270)

Question 331741: Jo Beth left her college town on a bus that traveled 60 mi/h. three hours later, her father left home driving at a speed of 50mi/h to meet the bus. If the college was 345 mi from Jo Beth’s home and the father met the bus as it was arrived at the station, how long did the father drive to meet the bus?
Click here to see answer by mananth(12270)

Question 331742: Two brothers took turns washing the family car on weekends. John could usually wash the car in 45 min, whereas Jim took 30 min for the job. One weekend they were in a hurry to go to a football game; so they worked together. How long did it take them?
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Question 331753: How much pure alcohol should be added to 400 ml. of 15% strength to make its strength 32%?

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Question 331739: Domic rode his motorbike 20 min to Helen’s home, and then the two drove in a car 30 min to the beach 35 mi from Dominic’s home. If the car speed was 10 mi/h faster than that of the motorbike, how fast did the car travel?
Click here to see answer by ankor@dixie-net.com(15622)

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