Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 122424: a roof measuring 16 ft by 20 ft is to be covered with asphalt roofing cement. how much would the project cost if the asphalt roofing cement spreads at the rate of 150 square feet per gallon and cost $4.75 per gallon? the cement is purchased by the gallon only
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Question 122563: Dan is on a 3-day hike. The first day he hikes 1/3 of the trail. The next day he hikes 1/3 of the trail plus 2.4 kilometers. The last day he hikes 5.6 kilometers to the end of the trail. How long is the trail?
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Question 123132: Hello can you help me with this please.
State the domain of the following with and explantion to your answer:?
a) f(x)=squareroot x+4
---------------
b) g(x)=2x+1\x-3
---------------
c) h(x)=3x^2+5x-3
-----------------
d) l(x)=2x+3
------------------
e) m(x)=3\x^2+7

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Question 123137: Sorry I missed out a word. Should be integers not whole number.?
Please help, Consider the function f(x)=x^2+4x+1?
Consider the function f(x)=x^2+4x+1
a) Find h, the x-coordinate of the vertex of this parabola.
-------------------------...
b) Substitute the two integers immediately to the left and right of H into the function to find the corresponding Y. Fill in the table below. Make sure your X-values are in increasing order in your table.

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Question 123173: Could you please write this out in an algebraic expression
Three times a number and 3/4 is equal to five times the product of a number and 2
by the way this is not a test i am math tutor but students are getting this wrong after i translate and i want to make sure the book is correct or possibly not. thanks you
Katy Hendry

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Question 123665: Please just don't get it....Suppose that the function?
Suppose that the function P=13+45ln x represents the percentage of inbound e-mail in the U.S. that is consideed spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step, when necessary.
a) Use this model to approximate the percentage of spam in the year 2003.
Answer:
b) Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change?
Answer:

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Question 123661: Thanks you in advance..Find the domain of the following:?
Find the domain of the following:?
a) f(t)=4.5e^t (small t on top of e)
Answer:
Show your work or explain how you obtained your answer here:
b) g(x)=log(x+3)
Answer:
Explain how you obtained your answer here:
c) g(x)=2^x ( same as a, small x on top of 2)
Answer:
Show your work or explain how you obtained your answer here:
d) g(t)=ln(t-1)
Answer:
Explain how you obtained your answer here:

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Question 123659: Please help,The formula for calculating the amount of money?
The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A=P(1+r/n)^nt
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer:
Show work in this space.
b) Calculate the return (A) if the bank compounds monthly (n = 4). Round your answer to the hundredth's place.
Answer:
Show work in this space
c) If a bank compounds continuously, then the formula used is A=Pe^rt
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space

e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space

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Question 124495:
Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test.
Write an expression that gives the total cost totest x animals.
You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal.
Find the average cost per animal for 10 animals, 100 animals. 1,000 animals.

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Question 124805: Please tell me the equation for Young's Rule. Please explain it in idiot proof english.
Thank you,
Michael Mooney

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Question 124890:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.

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Question 124890:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.

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Question 124887: two numbers differ by seven. If their sum is sixty-five, what are the numbers?
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Question 124884: when six is subtracted from five times certain number, the result is sixty-nine. find the number.
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Question 124904: the larger of two numbers is five times the smaller. if the difference is fifty-two, what are these numbers? thanks for helping out.
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Question 124942: Janet and Marcus work for a landscaping company. Their project involves making a garden with a 4-foot-wide walkway on each side of a 50-foot square piece of land. The plan for the project is shown. What is the area of the garden in square feet, not including the walkway?
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Question 124902: there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.
this is a grade 8 algebra question so no calculators so i need to understand how to get the answer from start to finish step by step. THANKS THANKS THANKS




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Question 125178: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example. Be sure to reference all sources using APA style.

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Question 125279: Hello can someone please try and solve these problems, i would greatly appericiate it!!
J. Rivera.
1) State the domain of the following:
a)g%28x%29=sqrt+sign+x%2B4
Answer:
b)g%28x%29=2x%2B1%2Fx-3+
2x+1 OVER x-s
Answer:
c) h(x)=3x^2+5x-3
Answer:
d) l(x)-2x+3
Answer:
e) m(x)=3/x^2-7 m "3 OVER x^2-7"
Answer:
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

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Question 125459: Good afternoon, does anyone know how to solve these two parts? Can you please provide the steps for clarification!! Thanks a bunch!! A) If y=sqrt+x%2B2, fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.

X-----Y
0
1
2
3
4
B) Explain why no negative values are chosen as values to substitute in for x.

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Question 125464: I'm not able to figure these out, can anyone help me out?
Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
a) f%28x%29=2x%2B3%2Fx%2B2 this is not showing correctly on the preview, it's supossed to be: "f(x)= 2x+3 OVER x+2".
Answer:
Horizontal:
Vertical:
b) g%28x%29=5x%2Fx%5E2%2B1 this is not showing correctly on the preview, its supossed to be: "g(x)= 5x OVER x^2+1".
Answer:
Horizontal:
Vertical:

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Question 125490: These questions have really got me stumped! I dont understand some problems sometimes, and these are a few of them, they all use the following formula to solve it. Thank you so much, Have a blessed day!!
The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by

A=P%281%2Br%2Fn%29%5Ent
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
c) Does compounding annually or quarterly yield more interest? Explain why
d) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.

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Question 126252: I'm stumped and need help with this Algebra problem...
Find 2 numbers that are 13 times the sum of their digits

I tried this but it does not seem to work out... can you help?
xy = 13(x+y)

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Question 126574: find the number of lines determined by the four verticals of a square
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Question 127246: eight more than triple a number
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Question 127376: If I know a three day moving average is 50. How would I figure how much it needs to change today to make the three day change to 48.
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Question 128093: Jerry recieves a 15% employee discount at the store where he works. If he pays $20.40 for an item, what was the original price of the item?
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Question 128093: Jerry recieves a 15% employee discount at the store where he works. If he pays $20.40 for an item, what was the original price of the item?
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Question 128095: A local softball team hopes to win at least 3 games for every 2 lost during the season.If there are 15 games scheduled, how many games can the team win and still achieve its goal?
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Question 128097: A number is multiplied by 3. If 2 is added to the product you get -4. What is the number?

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Question 128098: A baseball team played 20 games. They won 4 games more than they lost. How many Games did they win?
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Question 130067: I'm not sure if I'm understanding this word problem correctly, could I have some help, thanks. The reciprocal of two more than a number is three fourths of the reciprocal of the number itself. what is the number? I have the expression x+2x=3/4 answer x=1/4 Is this correct? Please let me know, if not could you help me understand it, thank you.
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Question 130066: I'm not sure if I have the right equation for this word problem. Could I have some help, thank you. The reciprocal of two times a certain integer plus the reciprocal of 2 more than twice the integer equals 7/24. I have expression 2x+2x=7/24 answer 7/96. Is this right? If not, could I have some help in solving this. Thanks
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Question 130061: I have a word problem that I'm not sure if I've solved correctly, could I have some help please. thank you. The reciprocal of a number plus the reciprocal of three times the number equals 1/3. Find the number. I have x+3x=1/3 x=1/12. Is this correct?
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Question 130060: I am not sure if I am doing this problem correctly could I please have some help. The additive inverse of a number divided by twelve is the same as one less than three times its reciprocal. Find the number. I have x+2x=3/10 x=1/10
Thank you.

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Question 130312: Three times a certain number equals that number plus 14. What is the number?
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Question 130494: Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age that Katie is now. How old is each now?
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Question 130494: Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age that Katie is now. How old is each now?
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Question 130524: The total of eight increased by the cube of a number and twice the cube of the number?
WORD PROBLEM write it out.
let x- stand for the number

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Question 130542:
Find the polynomial that represents the volume of the rectanglar solid.
(x+2)(x+4)(x-5)

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Question 130525: (-8) (1/8)=1
what property does this tell us?

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Question 130917: a newsagent buys 100 overseas magazines and pays $100 for them. He buys American magazines for $10, British for $5 and comics for 50 cents each how many of each does he buy?
thank you so much really appreciate your help

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Question 131322:
Twice the difference of seven times a number and four yields the same result as the same number increased by six.
*I am having a problem translating this problem, could you please help me*
Thank you!

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Question 132076: Hi! Could you please answer my question:


The sum of the lengths of the two legs of a right angle triangle is 14cm. Find the length of the shortest hypotenuse.


I started off by trying the equations [ a+b=14 and a^2+b^2=c^2 ]
then I substituted into [ c^2=(14-b)(14-b)+b^2 ] and solved, but I don't think I did it right... I got b=7, and therefore a=7... could you double check and show me the steps to get the answer?!?
THANK YOU SO MUCH!

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Question 132189: A furniture finish consists of turpentine and linseed oil. It contains twice as much turpentine as linseed oil. If you plan to make 16 fluid ounces of furniture finish, how much turpentine do you need?
I just need an equation to answer the question

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