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

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Question 78936: what is the nth term of an arithmetic sequence, what is the 101st term
2,4,6,8,10....

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Question 79611: Hi, not sure if i've chosen the correct topic or not, but any help would be appreciated. The problem reads:
If 342 cups of coffee can be made from 9 lbs of coffee, how many cups can be made from 6 lbs of coffee.
Thanks!

Click here to see answer by chitra(359) About Me 

Question 79925: Hi, I need help in figuring out this problem. I can get some of it, I think I know how to get how many units in the case but not really sure.
The owner of a hobby store bought a case of 9-volt batteries for $26.00. He marked the price up such that his profit was $1.74 per battery. After selling 13 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?
thanks for the help

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Question 80518: An employee who produces x units per hour earns an hourly wage of y=0.55x+7(in dollars) find the hourly wage for an employee who produces 13 units per hour.
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Question 81569: please help.
The sum if two numbers is 35. Their difference is 13. what are the two numbers?

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Question 81569: please help.
The sum if two numbers is 35. Their difference is 13. what are the two numbers?

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Question 81568: please help.
The difference of two numbers is 6. The second is 9 less than 2 times the first. What are the two numbers?

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Question 81567: The sum of two numbers is 71. The second is 6 more than 4 times the first. What are the two numbers?
thanks for the help.

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Question 81699: Business and finance. The demand equation for a certain type of printer is given by D= -200p + 35,000
The supply equation is predicted to be
S= -p2 + 400p - 20,000
Find the equilibrium price.

thanks

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

Question 82113: My directions are to solve the system by substitution. I don't know what I did wrong, but when I went to recheck my work I did not come up with the right answer could someone please re-work this problem and tell me what I did wrong.
3x+3y=9
y=2x-12
My work
3x+3(2x-12)=9 y=2(50
3x+6x-36=9 =10-12
9x/9=45/9 = -2
x=5
(5,-2)
To Check
5+ -2=7
7+ -2=9

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Question 82848: three is the number of digits you see
their sum is between sixteen and twenty three
the number is also a multiple of four the first digit is more than five and prime
the last two digits have a some of two more than ten but the one digit is greater
what is the number

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Question 83042: The demand and supply equations for a certain item are given by:
D=-5p+40
S=-p^2+30p-8
Find the equilibrium price.

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Question 83799: If you could fill a basketball with root beer, how many cans would it hold?
(12oz can & regulation NBA ball.)


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Question 84270: The difference of two numbers is 15. The first number is 5 more than 2 times the second. What are the two numbers?
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Question 84824: Evaluate 6x-2y when x = -1 and y = 4
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Question 84952: twice the sum of a number and 8 is equal to three times the difference of the number and three. find the number
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Question 68041: The sum of three consecutive odd integers is 201. Find the integers.
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Question 85129: Sorry there is no ISBN of this textook.
"Will you solve this Word problem please"
1. A, B, and C can finish a job in 6 days. If B & C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?

2. A bicyclist and a hiker leave at the same place at the same time and travel in the same direction. The bicyclist travel three times as fast as the hiker. at the end of 3 hr they are 24 miles apart. how fast does the hiker travel.

3. A person travelling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have travelled only 1315
miles in the same length of time. Find the speed of the plane and the ship.

Thank you so much.





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Question 87939: The following function describes the miles per gallon a ford Taurus gets when driven at x mls.per hour *NOTE: x is speed in mls.per hr. and f(x) is mls per gallon that the car gets when driven at x mls per hr.
f(x)=-0.018x^2+1.93x-25.34
a)how many miles per gallon will the car get at 45miles per hr.?
b)what is the speed of the car that gives you the maximum gas mileage?
c)what is the maximum miles per gallon that the car can get using this function?
Please help me, with this word problem. thanks!!

Click here to see answer by tutorcecilia(2152) About Me 

Question 88286: HELP PLEASE!!!
Need to make both airplanes and helicopters
Can't make more than 50 airplanes and no more than 30 helicopters
Cost to make airplane - 60,000
Cost to make helicopter - 90,000
Budget to spend - 3.6 million
Need to find Max. profit if get 400,000 for each sirplane sold amd 850,000 for each helicopter sold???
Also - how many helicopters cam be made
HELP
NEED:
Constraints, object function, and solution
thanks so much
lucyloo

Click here to see answer by stanbon(75887) About Me 
Question 88286: HELP PLEASE!!!
Need to make both airplanes and helicopters
Can't make more than 50 airplanes and no more than 30 helicopters
Cost to make airplane - 60,000
Cost to make helicopter - 90,000
Budget to spend - 3.6 million
Need to find Max. profit if get 400,000 for each sirplane sold amd 850,000 for each helicopter sold???
Also - how many helicopters cam be made
HELP
NEED:
Constraints, object function, and solution
thanks so much
lucyloo

Click here to see answer by Edwin McCravy(20054) About Me 

Question 89168: Jeff starts driving at 55 mph from the same point that Lauren starts driving from 70 mph. They drive in opp. Directions and Lauren has a half hour head start. How long will they be able to talk on their cell phone and have a 440 mile range.
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Question 89529: solve the system by addition
2x - 9y = -4
x - 4y = -1

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Question 91488: Solving a word promblem using a quadratic equation with rational roots
The length of a rectangle is 1 yd less than three times ite width and the area of the rectangle is 24yd^2. Find the diminsions.

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Question 91488: Solving a word promblem using a quadratic equation with rational roots
The length of a rectangle is 1 yd less than three times ite width and the area of the rectangle is 24yd^2. Find the diminsions.

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Question 91545: Find the volume of a sphere that has a radius of 3.00inches. How much will the contents of a sphere weigh if it is filled with a liquid that weighs 1.50 pounds per cubic inch?
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Question 91544: Find the area of a triangle with an altitude of 13meters and a base of 25meters. What is the cost to construct such a triangle out of sheet metal that costs $4.50 per square meter?
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Question 91541: Mr.Jon's garden covered 300 square feet. If the width was 5 feet less than the length, find the measurements of the garden.
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Question 91543: A rectangle has a perimeter of 78centimeters. The length of the rectangle is 11 centimeters longer than triple the width. Find the dimensions of the rectangle.
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Question 91542: Mr.Jon's garden covered 300 square feet. If the width was 5 feet less than the length, find the measurements of the garden.
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Question 92297: 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. What is the number of columns of the second boy? Then columns of second boy is ? Number of marbles of the first boy having 6 in each ? Number of marbles of the second boy having 9 in each =?
Total number of marbles?
Algebraic expression is: ?

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Question 93322: Two people with flu visit a campus. The number of days T it took for the flu viruses to infect n people is given by: T=-1.43Ln(10,000-n/4998n)
how many days will it take to infect 500 people?
Sorry, not from a text
Thanks in advance

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Question 94460: Sally bought 3 choclate bars and a pack of gum and paid $1.75. Jake bought 2 chocolate bars and 4 packs of gum and paid $2.00. Write a system of algebraic equations using c=chocolate bar, and g=gum to represent the given information. Solve using the adding method or substitution to fing the cost of a chocolate bar and the cost of a pack of gum.
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Question 94632: A wire of length 50 feet is attached to the ground and top of an antenna,The height of the antenna is 10 feet larger than the distance from the base of the antenna to the point where the wire is attached to the ground.What is the height of the antenna?
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Question 95268: A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnation for
$327.00. This information can be represents by the system of equations below,where r represents the cost of one dozen roses and c represents the cost of one dozen carnations.
20r+34c=504
15r+17c=327
solve the system of equations to find the cost,in dollar,of a dozen roses

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Question 95727: writing an exponential equation
the function v(t)120000(1.04^t) gives the value of a home in dollars in the year 1980+t. write an EQUATION that can be used to determine the year in which the value of the home reached $190,000? use ^ to denote an exponent. do not solve the equation.

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Question 95726: evaluting a function
the function V(t)=89500(1.054^t) gives the value of a home in dollars in the year 1990+t. what was the value of the home in 1994? Round your answer to the nearest whole dollar amount and give units

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Question 95917: On Nov. 19, 1863, Abe Lincoln delivered the famous Gettysburg Address. The speech began "Four score and seven years ago,..."
I am supposed to:
1.Write an expression to represent four score and seven.

2.- Evaluate the expression. Name the property used in each step.
I don't get this. Please help. Thanks!!

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Question 97354: Suppose w was Lisa's weight last year. Lisa lost 7 pounds this year. Write an expression for Lisa's weight this year.
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Question 98056: How many pounds of coffee beans selling for $2.00 per pound shoulod be mixed with 6 pounds of coffee beans selling for $1.40 per poound to obtain a mixture selling for $1.64 per pound? Thank you very much for your help.
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Question 98857: A seamstress purchases 100 yds. of fabric. She can use it to make 20 skirts and 8 dresses. If she makes 14 dresses will she have enough fabric to make 10 skirts. How many yards of fabric are needed to make each?

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Question 98968: a television addict can buy either two televisions and three video recorders for $1750 or four televisions and one video recorder for $1250. find the cost of one of each.
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Question 99023: Hello,
Please help me with this story problem...I am terrible at them. I got the answer 1.5 ft. but want to check.
A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 12 ft by 15ft and the area of the rug is 108 ft, how wide will the border be? Thanks..>Tammy

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Question 98951: twice one number added to three times another gives 21. find the numbers, if the difference between them is 3.
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Question 99120: A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the expression that represents its perimiter.
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