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

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Question 84900: Ticket sales: Tickets for a concert were sold to adults for $3 and to students $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold ?
Solving this as a linear equation

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Question 84951: Sean has 103 coins consisting of nickels,dimes and quarters. the number of dimes is one less than twice the number of nickels and the number of quartes is two more than three times the number of nickels. how many ocins of each kind does he have?
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Question 85197: x represents the number of textbooks purchased at $27 per book, and y represents the total amount of money spent on textbooks. After writing an equation for this situation, what is the cost of 4 textbooks?
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Question 84957: Solve problem using an absolute value equation or inequality
In 1985 Steve Cram set a world record of 3 minutes 29.67 seconds for the 1500 –meter race and a world record of 3 minutes 46.31 seconds for the 1-mile race.
Suppose you know only that these two events occurred 11 days apart and that the 1500 meter record was set on July 16. Use an absolute value equation to find the possible dates for the 1-mile record run.



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Question 85774: Two cars leave at the same time from towns that are 180 miles apart traveling toward each other. One car travels 10 mph faster than the other. They meet each other after two hours. Find the speed of the faster car.
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Question 85775: Lynn Ogen invested some money at 9% interest and $100 less than that at 7% interest. Her total annual interest was $73. How much did she invest at 7% interest?
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Question 85902: The difference of twice a number and five is equal to the square of the difference of the number and fifteen. What is the number?
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Question 85992: Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?
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Question 86099: When the parking garage opened in the morning there were 100 cars in a lot A and 20 cars in lot B. after the attendant moved 20 cars from a lot A into lot B what was the ratio of the number of cars in lot A to the number of cars in lot B?
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Question 86106: round 907.457 to the nearest tens place.? need help with this one please
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Question 86113: in a writing competition,the first place winner recives 1/2 of the prize money.the second runner up recives 1/4 of what the winner won.what was the total amount of prize money distributed if the winner recives $6,000? Answer: a:$6000 b:$8,500 c:$12,000 d:$15,000 e:$18,500
need help asap please help

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Question 86108: in a writing competition,the first place winner receives 1/2 of the prize money.the second runner up receives 1/4 of what the winner won. what was the total amount of prize money distributed if the winner receives $6,000? please need help with this one
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Question 86107: the lenght and width of dr. Morganstern's rectangular garden are 3m feet and 4m feet,respectively.what is the area of the garden,in square feet?
Please help me with this one thankyou.

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Question 86096: milicent wants to build a fence around her flower garden, which is shaped like a right triangel, if one leg of the triangle is 6 feet long and the other is 8 feet long,how many feet of fencing will she need to finish the project?
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Question 86102: Where does the word "algebra" come from?

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Question 86768: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 5 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.)
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Question 86767: The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.6 units longer than the shorter leg. Find the lengths of the sides of the triangle.
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Question 89159: What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
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Question 89190: Tutor,
I am sorry this is not from the book, I just need to know if I wrote this correctly please help.
Translate the following statement into an algebraic equation. Let x represent the number. 3 less than 20 times a number is 9 times that same number.
I came up with 3-20x=9x
Is this the proper equation for this sentence? Thank you inadvance for your help.

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Question 89190: Tutor,
I am sorry this is not from the book, I just need to know if I wrote this correctly please help.
Translate the following statement into an algebraic equation. Let x represent the number. 3 less than 20 times a number is 9 times that same number.
I came up with 3-20x=9x
Is this the proper equation for this sentence? Thank you inadvance for your help.

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Question 89864: How much greater is the product of -3,-7, and 5 than their sum.
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Question 90366: Ronald wants to sell his car through s broker who charges a commission of 10% of the selling price. Ronald still owes $11,025 on the car. Ronald must get enough money to at least pay off the loan. What is the range of the selling price?
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Question 90365: What was the MRSP for a Hummer H1 that sold for $107,272 after the 8% discount?
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Question 90364: Before Ronald sold two female rabbits, half of his rabbits were female. After the sale, only one third of his rabbits were female. If x represents his original number of rabbits then,
1/2 x -2=1/3(x-2)
Solve this equation to find the number of rabbits that he had before the sale.

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Question 90526: A group of stockholders are to elect a president, vice-president, secretary and a treasurer from 6 board members who qualify. How many different ways can the officers be elected?
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Question 90576: Translate the following statement into inequalities. Let x represent the number.
1.) 2 times a number, increased by 28, is less than or equal to 6 times that number.
2.) Sam must have an average of 70 or more in his summer course to obtain a grade C. His first three grades were, 75, 63, abd 68. Write an inequalities representing the score that Sam must get on the last test to get a grade of C?

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Question 90574: The new tires in George’s vehicle are 15.5 inches in diameter. They are guaranteed for 75,000 miles, meaning that the thread will wear less than 0.50 inches in 75,000 miles. When he got his new tires, George had determined that he was getting an average of 34.55 miles per gallon of fuel. He got suspicious of the tires when, after 25,000 of driving, his mileage improved to 35.00 miles per gallon; and he was sure of his problem when after another 25,000 miles, his mileage was 35.47 miles per gallon.
Please, use the information given to help George make a case to return his defective tires.
Please document all steps as you go....I have NO idea about this one??!!
Thanks for your help!!

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Question 90901: 92. Adjusting the saddle. The saddle height on a bicycle should be 109% of the rider’s inside leg measurement L (www.harriscyclery.com) See the figure on the next page. Write an equation expressing the fact that saddle height for Brenda is is 36 in.
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Question 90900: 96. Fahrenheit temperature. Water boils at 212 degrees Fahrenheit.
a) Use the accompanying graph to determine the Celsius temperature at which water boils.
b) Find the Fahrenheit temperature of hot tap water at 70 degrees C by solving the equation.
70 = 5/9 (F – 32)

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Question 92301: Solve each system by the addition method.
x+ y=13
22x+36y=356

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Question 92592: In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of is first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
This what I have so far: (2n (300+n)= ?
I would like some assistance in setting up the problem. Thanks.Th

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Question 92903: A father walks 36miles in 12hours while his son covers the same distance on a bicycle at twice the fathers rate of speed. at this rate, how many miles would the bicycle rider travel in 9hours.
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Question 93498: Write an expression for:
six less than k

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Question 94219: Mrs gardner went to the market she purchased some lettuce heads and tomatoes. There were12 items purchased. she brought twice as many tomatoes as lettuce heads.
i came up with 2T+L=12
it just doesnt look right
please help
thank you

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Question 94225: please help me translate into a equation
the perimeter of a rectangle is 600. the length of the rectangle is 2 more than 3 times the width
thank you

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Question 94922: Hello Tutor,
Please translate this: one number,n, decreased by the sum of 5 and the square of another number, z. Thank you in advance for your help.

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Question 95231: how can i write(a number decreased by the sum of the number and four) as an alg exp and how then do i simplify it?

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Question 93499: write an algebric expression for:
the quotient of r + 5 and b

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Question 95685: Please Help!
The question is:
The Sum of two numbers is 25. Tweleve less than four times one of the numbers is 16 more than twice the other number. Find both numbers.
I tried figuring it out, but I got that 12&39=25, which is not possible. Please help!

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Question 95723: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
a) The monthly reports are due and the department manager has decided to try and accelerate the completion of the report by assigning a team of two workers the task. Mary has completed the monthly reports in an average of 6 hours over the past few months. John, who had worked in Mary's capacity prior to a change in assignments, used to complete the task in 8 hours. How quickly will Mary and John finish the report if they work together?
b) The very next month, both Mary and John are out sick. The manager knows that Skip can do the reports in 12 hours working alone, but the manager needs the work done in 4 hours. He needs to choose a staff member to work with Skip. How quickly would the other staff member have to complete the report working alone if the two hope to complete the report in 4 hours?
I really appreciate your help. Thank you very much.
Larry

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Question 95714: 1. Given: y varies directly with x. Write the variation equation. If y =3 when x = -6, find k, the constant of proportionality, and find y when x = 8.

( I really need help to find the formula to solve this equation and steps to show me how. Single mom with a 8 class load needs help!!!!!!!!

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Question 95722: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
a) The monthly reports are due and the department manager has decided to try and accelerate the completion of the report by assigning a team of two workers the task. Mary has completed the monthly reports in an average of 6 hours over the past few months. John, who had worked in Mary's capacity prior to a change in assignments, used to complete the task in 8 hours. How quickly will Mary and John finish the report if they work together?
b) The very next month, both Mary and John are out sick. The manager knows that Skip can do the reports in 12 hours working alone, but the manager needs the work done in 4 hours. He needs to choose a staff member to work with Skip. How quickly would the other staff member have to complete the report working alone if the two hope to complete the report in 4 hours?

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Question 95771: 8. one third the sum of two numbers is 12. Twice their difference is 12 . Find the numbers.
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Question 95778: A new 2004 E320 mercedes Benz can be leased fro $3500 down and $599 per month.
a. Find a formula for the total cost C of the car after m months.
b. Use the formula from part aa to find the total cost C after leasing the car for the required 45 months.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790