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

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Question 86102: Where does the word "algebra" come from?

Click here to see answer by bucky(2189)

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.
Click here to see answer by jim_thompson5910(35256)

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?
Click here to see answer by stanbon(75887)

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.
Click here to see answer by stanbon(75887)

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?
Click here to see answer by jim_thompson5910(35256)

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?
Click here to see answer by checkley75(3666)

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!!
Click here to see answer by checkley75(3666)

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
Click here to see answer by bucky(2189)

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

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.
Click here to see answer by stanbon(75887)

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?

Click here to see answer by cute_knight22(1)

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!
Click here to see answer by checkley71(8403)

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

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

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?

Click here to see answer by stanbon(75887)

Question 95771: 8. one third the sum of two numbers is 12. Twice their difference is 12 . Find the numbers.
Click here to see answer by wennie15(8)

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.
Click here to see answer by tutorcecilia(2152)

Question 95793: A college booke store marks up the price that it pays the publisher for a book by 35%. if the selling price of a book is $56.00, how much did the book store pay for this book?
Click here to see answer by edjones(8007)

Question 95912: I'm not sure if this is the right category but here is my problem:
Lupe's mother paid $7.40 to buy juice for the 14 members of Lupe's softball team. If a bottle of orange juice costs 55 cents and a bottle of apple juice costs 45 cents, how many of each type did she buy?

I have tried trial and error, and I have gotten the correct answer (3 apple, 11 orange) however, trial and error can take a long time for larger numbers and so I would like to know what the algebraic equation is, preferably using 1 variable. thank you for your time
Click here to see answer by checkley71(8403)

Question 96268: Find two consecutive even integers such that two times the first plus three times the 2nd is 76.
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Question 96423: the us senete has 100 members all democrats or republicans. recently there were 12 more democrats then republicans. how many senators from each political party were there at that time.
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Question 96433: Keisha made 12 out of her last 58 shots on goal. Estimate the probability that she will make her next shot on goal.
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Question 96433: Keisha made 12 out of her last 58 shots on goal. Estimate the probability that she will make her next shot on goal.
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Question 96434: A researcher polled 260 students at a university and found that 83 of them owned a laptop computer. Estimate the probability that a randomly selected college student owns a laptop computer.
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Question 96536: A 25 inch rope is cut into 3 peices such that the middle sized peice is 1 inch longer than the shor piece and the longest is twice as long as the short peice. How long is each peice?
Click here to see answer by tonyna22(1)

Question 96645: My grandson is as many days old as my son is in weeks. My grandson is as many months old as I am in years. My grandson, me, and my son all equal 120 years. How old am I?
Click here to see answer by edjones(8007)

Question 96633: There are less than 100 balls in a box. If you remove the balls in threes, 1 ball will remain in the box. If you remove the balls in fours, 2 balls will remain. If you remove the balls in fives, 3 balls will remain in the box. If your remove the balls in sixs, four balls will remain.
How many balls are there in the box?
Click here to see answer by bucky(2189)

Question 97089: write an inequality to represent this and solve for the possible ticket prices.
A charity is planning to raffle off a new car.The charity wants to raise at least $70,000.00.It expects to sell at least 1250 tickets and to spend $5000.00 promoting the raffle.Find the possible ticket prices.
Click here to see answer by checkley71(8403)

Question 97086: write an inequality and solve for the homework average.
Claire's test average is 90.The test average is 2/3 of her final grade, and her homework average is 1/3 of her final grade.What homework average does she need in order to have a final grade of at least 93?
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Question 97036: A stamp collection of 5,13, and 18 cent stamps. The number of 13 cent stamps is one less thatn twice the number of 5 cent stamps. The nubmer of 18 cent stamps is five more than the number of 13 cent stamps. The total value of all the stamps is $2.60. Find the number of 13 cent stamps in the collection.
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Question 97345: the number of sides in t triangles
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Question 97458: I need to translate this word problem into an equation:
Price of a calculator. Evelyn paid $89.25, including 5% tax, for her graphing calculator. How much did the calculator itself cost?
Click here to see answer by stanbon(75887)

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, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545