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

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Question 175846: x^2+16x+a=(x+b)^2
^^In the equation above, a and b are constants. If the equation is true for all values of x, what is the value of a?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 176891: During the year, Charles read five more books than twice the number of books read by Frank. If together they read a total of 29 books, how many books did each read? Please include a "let statement".
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Question 178046: Farmer Fran has 47 barnyard animals, consisting of only chickens and sheep. If these animals have 138 legs, how many of each type of animal are there?
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Question 178042: Juan has 16 coins, all nickels and dimes. This collection of coins is worth $1.15. How many nickels and dimes are there?
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Question 178041: Conrad has a collection of three types of coins: nickels, dimes and quarters. There are five more nickels than quarters but four times as many dimes as quarters. If the entire collection is worth $5.85, how many nickels, dimes, and quarters are there?
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Question 178044: Tickets to the school play are $7.00 for adults and $5.50 for students. If the total value of all the tickets sold is $3825 and 100 more students bought tickets than adults, how many adults and students bought tickets?
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Question 178217: If four out of five doctors prefer fast food, than at a convention of 455 doctors, how many probably ate fast food for lunch? Set up an equation and solve.
thanks thanks

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Question 178313: Mr. Jackson owns a dairy farm that is bordered by a river on one side. He wants to enclose a rectangular pasture that is bordered on one side by a river and on the other three sides by 600 feet of fencing. What must the dimensions of the pasture be in order for Mr. Jackson to get the greates amount of grazing area, and what is the greatest area for grazing?
A=l*w
A=x(600-2x)

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Question 178858: One turkey weighs 3 pounds less than twice another. If the heavier turkey weights 29 pounds, how much does the lighter turkey weigh?
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Question 178855: In a basketball game Kyle scored 4 more than 1/5 as many points as Kurt. If Kyle scored 12 points, how many points did Kurt score?
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Question 178866: The daily payroll for 100 skilled and unskilled laborers is $8320. Each
unskilled laborer earns $64 per day. Each skilled laborer earns $112 per
day. How many unskilled laborers are there? What is the value of the daily
payroll for the skilled laborers.

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Question 179173: pooky eats three cans of cat food each day. how long will 27 cans of food last?
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Question 179320: Please help...i'm so confused..
1) Describe a strategy (maybe with equations) to estimate the number of road signs (not advertisements) on interstate 95 that runs from South Florida to New England. One may assume 1800 miles. How many road signs are there?

5) It is January. You are a CEO or a CFO (pick one) of a company. The company is high tech with 50% engineers. This company designs, produces, and sells expensive products. There are two problems with the company. One is that the present economy is not doing very well (slumping) and products are not selling as well as Sales forecasted. The second is that the product is getting old and new products are required to bring in revenue. New products take about a year to develop and to start seeing revenue. The CEO wants to be at a certain number at the end of the year, but does not want to destroy the company. What would you do

**this is just guesswork...there is no right or wrong answer but i'm still confused.** my professor just want a theory. can u help please.
Make some assumptions

Give reasons to your conclusions


How can your assumptions be improved?


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Question 179890: Joe has x CDs, Penny has y CDs and Jahal has z CDs.
(a) If (x+y)(x+z)=x^2+10x+24, find the values of y and z.
(b) How many CDs should Joe have if the total number of CDs belonging to the three friends is fifteen?

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Question 182210: Mary can clean a house in 6 hours, while John can clean a house in 4 hours. How much time will it take them if they clean it together?
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Question 183621: I am currently taking Algebra 1, and need assistance with the following word problems (that use substitution, of course):
1.)Lisa and Beverly had just $5 to spend for an after-school snack. They could have bought 2 hamburgers and 1 carton of milk with no change back or 1 hamburger and 2 cartons of milk with 40 cents change back. How much does a carton of milk cost?
2.)If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. But if you buy four pens and two mechanical pencils, you'll get $2 change. How much does each pen and each pencil cost?
3.)One number is 16 more than another. If the smaller number is subtracted from two-thirds of the larger number, the result is one-fourth of the sum of the two numbers. Find the numbers.

Thank you very much! An answer as immediate as possible would be greatly appreciated.

Click here to see answer by stanbon(75887) About Me 

Question 185589: Hello, I'm trying to help my son with his math homework but it's been 30 years since I had to do math and I can't remember enough to help him.
One example of the type of questions he has would be:
tennis consumes 25 calories a minute
cycling consumes 35 calories a minute
The player plays both sports for a total of 50 minutes consuming 1450 calories. How long did he play tennis?
I've been trying to come up with something like 25x + 35y = 1450 but I can't go from there.
I'd be grateful if you could quickly give me some idea how to do the above.
Thanks
John Mullany

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Question 186025: Four employees are paid at four consecutive levels on a wage scale. The difference between any two consecutive levels is $160 per month. The average of the four employee's monthly wages is $1440. What is the monthly wages of the highest paid employee?
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Question 186309: Paul's age is six less than twice Lucien's age. Two years ago, the sum of their age was 29. How old is Lucien?
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Question 186343: Please help me quickly, I am trying to help my daughter with her homework.
Problem:
At a concert, main floor seats sell for $25.00 and Upper Level seats sell for $12.00. There were 50,000 people in attendance and the concert total ticket sales is $1,112,000. How many main floor seats and upper level seats were sold?

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Question 186528: 3. A factory ordered car comes with 3 types of interior (leather, suede or cloth) in 9 colors (beige, tan, gray, red, cream, black, pink, gold, blue) and 10 exterior colors (red, blue, black, green, white, yellow, silver, gold, tan, gray). How many possible variations of the car can be produce?
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Question 186527: 6. A bag of colored marbles holds 75 blue marbles, 44 red marbles and 21 white marbles.
a. What is the probability that in selecting one marble and then a second marble without replacing the first marble that both marbles will be red?
b. Four marbles are selected, one at a time, without replacement. What is the probability that the first marble will be red, the second will be white, the third marble will be red and the last marble will be blue?


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Question 186531: A family has 6 children. Determine the probability that there are fewer than 3 male children in the family.
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Question 188311: the length of fence required to enclose a rectangular field is 300 meters. What are the dimensions of the field if it is known that hte difference between its lenght and width is 50 meters
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Question 188761: Jess and Jillian went to the St. Anthony’s feast together. The admission fee is $5.00. At the feast there are 15 different types of rides to go on and to go on a ride you need to have tickets. The cost for one ticket is $2.00. Jess went on all 15 rides and Jillian went on all 15 rides and went on three rides twice. How much money did they pay altogether since they entered the Feast?
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Question 189629: Find three consecutive integers such that the square of the sum of the smaller two is 144 more than the square of the largest.
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Question 189708: Help please, using substition i keep coming up with equal answers on each side of the equation and I am stuck. I can't figure out what I am missing. Thanks.
This question is on a chapter review and is similar to question 34/35 on page 380 of Algebra 1 (ISBN 0-07-869680-1).
Mike makes $500 per month plus a commission of 3% of the total sales he makes. Zach makes $700 per month plus a commission of 2.5% of the total sales he makes. What is the total sales each must make to have the same salary? How much will eash person's salary be at that time?

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Question 189631: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?
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Question 189639: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 18 miles, the distance between the cars was 6 miles more than the distance traveled by the car heading east. How far had the eastboud car traveled?
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Question 189628: The product of two consecutive positive even integers is 142 more than their sum. Which of these is one of the integers?
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Question 189626: If the length of a rectangle is 2 km longer than twice the width, then what is the length if the area is 60 square kilometer?
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Question 189638: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?
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Question 190133: In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket t hours after starting work could be modeled by the formula
N(t)= -3t^3 + 23r^2 + 8t
a. Rewrite the formula by factoring the right-hand side completely.
b. Use the factored version of the formula to find N(3).

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Question 190390: john walked a total distance of 1450 meters in two days. if he walked 370 meters futher on the second day than on the first day, how far did he walk on each day?
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Question 190677: lisa and berverly had just $5 to spend for an after school snack. they could have bought 2 hamburgers and 1 carton of milk with no change back. or 1 hamburger and 2 cartons of milk with 40 cent change back. how much does a carton of milk cost
Click here to see answer by stanbon(75887) About Me 

Question 191550: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8 ft less then the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4 ft less then the length of the ladder?
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Question 191735: When is it appropiate to use the two variable method of a word problem?
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Question 192725: One angle of an isosceles triangle has measure 150*. If the area of the triangle is 9 cm ^2, what is the perimeter to three significant digits?
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Question 193393: ``Before, solving the problem, I just want to give you the heads up. It's
Systems of Equation: Application. I can't find the specific title to relate
with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps!
*The Perimeter of a rectangle is 42 inches. If the length is doubled and the width is tripled, the perimeter becomes 102 inches. Find the length and width of the original rectangle.*

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Question 193750: what value of y makes the two expressions equal 5y-8 3y+5
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Question 196155: What are the values of m such that 4x2 - 4mx + 4m - 3 is perfect square trinomial?
a.) -1, -3
b.) 1,-3
c.) 1,3
d. -1, 3

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Question 196546: How to solve question: one angle of a quadrilateral has measure a degrees. Find the average of the measures of the other three angles.
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Question 197190: hey can you help me?? the question is... 2cars are approaching each other at 40km/h. when they are 1 km apart. a fly flies at 10m/s between the cars(assume it flies at the constant speed always) and touches each car on it trip. How far does the fly fly when the cars crash?
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