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

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Question 66157: A sum of money of $10000 is invested, partly at 4% and partly at 6%. If the yearly income from the two investments was $530. Find the amount invested at each rate.
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Question 66158: From Abu Dhabi to Al-Ain is 149 km. A cyclist starts from Abu Dhabi cycling to Al-Ain at a steady speed of 14 km/hr. An hour later, a car starts from Al-Ain going to Abu Dhabi at a steady speed of 4o km/hr. How far from Abu Dhabi do they meet?
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Question 66976: A can contains two different kinds of nuts, weighs 5 pounds, and costs $16. One type of nut costs $3.50 a pound. The other type costs $2.75 a pound. How many pounds of $2.75 nuts are there?
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Question 66976: A can contains two different kinds of nuts, weighs 5 pounds, and costs $16. One type of nut costs $3.50 a pound. The other type costs $2.75 a pound. How many pounds of $2.75 nuts are there?
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Question 67177: Please help me with this problem.
One third(1/3) of a stack of paper and a one (1) pound book will balance one fourth(1/4) of the stack of paper and 3 of the books - How much does half the stack of paper weigh?
Thanks for your help.

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Question 67271: The angle of elevation from a point on level ground to the top of a tower is 32.34. The angle of elevation of the top of the tower from a point 122 feet further back on the same horizontal line is 22.17. Find the height of the tower to the nearest tenth of a foot.
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Question 67608: A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44 liters of a 51% solution. How much of the 71% solution must you use?
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Question 67604: A solution of 71% pesticide is to be mixed with a solution of 49% pesticide to form 44 liters of a 51% solution. How much of the 71% solution should you use?
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Question 68569: My equation is:
Twelve less than 2 times a number is equal to 15 minus 7 times the number
If anyone can help this equation,I would love it,Thank You

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Question 68978: The difference between two numbers is 16. Five times the smaller is the same aas 8 less that twice the larger. Find the numbers. I need this to be in a system of two equations in two variables.
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Question 68981: The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the numbers. I need this to be a system of two equations in two variables.
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Question 69379: Apples are collected in a basket for six people. One third,one fourth,one eighth, and one fifth of the apples are given to four people respectively. The fifth person gets ten apples and one apple remains for the sixth person. Find the original number of apples in the basket.
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Question 69857: A theatre box office charges a $8 processing fee for a customer order and $12 for each ticket in the order. If a customer's order costs $80, how many tickets are included in the order. 80-8=72/12=6 is this the correct set-up and answer to the problem
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Question 69991: I NEED HELP ON ONE OF MY ALGEBRA QUESTION:
IT IS:
FIVE SISTERS' AGES ADD UP TP 211. THE OLDEST SISTER'S AGE WAS 3 TIMES THAT OF THE YOUNGEST. THE NEXT TO THE OLDEST WAS 2 YEARS YOUNGER THAN THE OLDEST AND THE MIDDLE SISTER WAS TWICE AS OLD AS TH YOUNGEST. THE REMAINING SISTER WAS 3 YEARS OLDER THAN THE YOUNGEST SISTER. WHAT IS THE AGE OF THE OLDEST SISTER?

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Question 70139: A teacher spent $27.86 to buy 51 candy bars for her students. she bought Swedish Fish for $.37 and Snickers for $.66. How many of each candy did she buy?
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Question 70142: A chemist has a bottle of 1% acid solution and a bottle of 5% acid olution. She wants to mix the two solutions to get 100ml of a 4% acid sloution. Write the system of linear equations to determine how many ml of each sloution is required to get 100ml of 4% slution. (Solve the equation and answer the question for five bonus points)
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Question 70137: A farmer wants to fence a pasture for his sheep. The perimeter of the field is 340 meters. the lenght of the field is 2 meters more that twice of the width. What are the dimensions of the pasture?
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Question 70392: Shopping city has a 6% sales tax
Manuel spent $10.59 on a basketball at shopping city. What was the selling price of the ball.

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Question 70393: Shopping city has a sales tax of 6%
Clara and Mauuel's parents sepnt $165.84 on groceries at Shopping City. How much of that was sales tax.

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Question 70394: Solve for c
1/a + 1/b = 1/c solve for c

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Question 70391: Shopping city has a 6% sales tax.
Clara spent $37.10 on a pair of pants at shopping city. What was the selling price of the pants.

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Question 70781: Please help me solve this word problem:
When the Johnson triplets were three weeks old, their sleeping habits were remarkably consistent. John slept for 3 hours and was awake for 30 minutes. Joan slept for 2 hours and was awake for 30 minutes. Jane slept for 2 hours and 20 minutes and was awake for 40 minutes. On October 13 at 8:00pm, they all went to sleep at the same time. When did this event occur again? Give both the date and time.

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Question 70749: the sum of -4 and a number, subtracted from twice the product of the number and -1
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Question 71056: Please can someone help me with this? Three consecutive integers are such that the first plus one-half the second plus seven less than twice the third is 2101. What are the integers?
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Question 71712: I read the pages I was assigned to read and it still does not makes since. I can't even figure-out how to do it could you please help me? this is my problem:
The number of spider legs in a box containing s spiders
I don't even know where to start.
Thank You
-Carrie

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Question 72634: A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?
$29,250
$31,200
$32,500
$33,800
$33,999

The answer is supposed to be $31,200, but everytime I try to solve it I get the wrong answer, how do you solve this?

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Question 72670: Jen rode her bike 63 miles. She rode twice as many miles on paved road as she did on dirt road. How many miles did she ride on paved road?
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Question 72978: My question: Could you show me the formula to use to answer the question below?
Math Question: I have 2 candles with equal lengths. Both candles are lit at the same time. Candle A burns out at 9 hours. Candle B burns out at 6 hours. At what time is the slower burning candle twice as long as the faster burning candle?
Any help you can provide would greatly be appreciated. Thank you.

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Question 73144: Double the sum of a number and 6 is the same as 15 more than triple the same number. find the number
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Question 73156: One number is 6 less than another number. Their sum is 20. Find the greater number?
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Question 73352: the fuel tank in a car was 40% full. i added 28 litres and then found it was 75% full. how much fuel does the tank hold?
instructions: form equations to solve this worded problem

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Question 73352: the fuel tank in a car was 40% full. i added 28 litres and then found it was 75% full. how much fuel does the tank hold?
instructions: form equations to solve this worded problem

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Question 74055: If 3x=6x-15 then x + 8=
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Question 74315: write 2 word phrases for the variable expression a+23 and 60n
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Question 74572: the sum of two consecutive integers is 145. what are the two integers?
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Question 74677: Solve V = 1/3Bh for h if V=216 and B =54
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Question 74901: the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater number and 50 times the lesser is 500. what are the number?
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Question 74900: the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater number and 50 tumes the lesser is 500. what are the number?
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Question 75429: Jose rode his trail bike for 10 miles. Two-thirds of the distance was over a mountain trail. how long is the mountain trail?
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Question 75604: Addie has $2.15 in her change purse, consisting of nickels, dimes, and quarters. If she has twice as many nickels as quarters and one less dime than quarters, how many of each coin does she have?
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Question 75829: Find a trinomial that represents the area of a parallelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters.
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Question 76001: Give an example of a rational expression P/Q such that: The degree of the denominator Q is 3 and this expression is defined for all real numbers except the values 2 and 4.
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Question 76619: Jake's bratwurst stand sells three times as many bratwursts as Lisa's stand. The difference between their sales is 400 bratwursts. How many bratwursts did Jake sell?
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Question 76618: Jake's bratwurst stand sells three times as many bratwursts as Lisa's stand. The difference between their sales is 400 bratwursts. How many bratwursts did Jake sell?
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Question 76728: Hi,
I am desperately needing help here. I have been doing ok with algebra, but I seem to be really stuck with translating statements to problems. Could you help me with this please? I would greatly appreciate it! I have tons of these to do and it would help to see how this works.
Thanks!!

Translate to an algebra statement; do not solve:
Three times the difference of five and a twice a number yields the same result as the same number increased by four.

Click here to see answer by ankor@dixie-net.com(22740) About Me