Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 236034: Can you please explain this to me? I think the argument is correct, but I'm not 100% and I wouldn't know where to begin explaining why. Thanks so much for your help!!

Hosni gave the following argument that - (a + b) = -a + -b, for all integers a and b. If the argument is correct, supply the missing reasons. If it is incorrect, explain why not.
-(a + b) = (-1)(a + b)
= (-1)a + (-1)b
= -a + -b

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Question 236319: In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
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Question 236077: the wavelength(W) of a radio wave varies inversely as its frequency(F). A wave with a frequency of 200kHz has a length of 252m. What is the length of a wave with a frequency of 900kHz?
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Question 236006: The sum of lisa's age and Ellen's age is 41. five years from now, the sum of their ages will be three times lisa's present age. How old is Lisa?
Also to solve this, it has to be either the substitution or elimination method.
Thanks.

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Question 236273: Nolan walked to the store from his home at rate of 5 miles per hour. After spending one-half hour in the store, his friend gave him a ride home at the rate of 30 miles per hour. He arrived home 1 hour and 5 minutes (1 1/12 hours) after he left. How far is the store from Nolan's home?
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Question 236272: Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour and for the remaining time, 55 miles per hour. The entire trip tool 3 hours. How long did he travel at each rate?
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Question 236265: i am thinking of a whole number. if i divide it by 13, then multiply the answer by 12, then subtract 20 and then add 89, i end up with 93. what was my original number
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Question 236182: A Merchant mixes tea that sells for $7.20/kg and tea that sells for $9.20/kg to make 100 kg of tea that he sells for $8.80/kg. How many kilograms of each type of tea did he mix?
Also to solve it, it has to be either the substitution or elimination method.

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Question 236185: A t-shirt goes on sale for 20% off the original price. When the shirt is sold, the GST amounts to $1.68. How much was the original price of the shirt?
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Question 236078: The reciprocal of 4 plus the reciprocal of 7 is the reciprocal of what number?
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Question 235797: A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg

help
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
i know that the 5 steps of problem, solving process is to
familiarize translate carry out check and state but i am not sure what order i start with to do the formula.
the

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Question 236021: Sally is building a box with a square base for her ant
colony. The bottom of the box and all four sides are con-
structed of glass costing $1/ft2, and the top is to be con-
structed of glass costing $5/ft2. Sally has $72 to spend on
the box. How should she choose the dimensions so that the
volume of the box is greatest?

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Question 235882: The Body Mass Index,I,can be used to determine an individual's risk for heart disease. An index below 25 indicates a low risk. The body mass index is given by the formula I=700W
------
H^2 where W=weight in pounds, and H=height in inches.
Jerome is 70 inches tall. What weight will keep his body mass index between 20 and 28?
Jerome's body mass index will fall between 20 and 28 for the set of all weights such that ? I can't seem to figure out how to do this problem without a weight given....

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Question 235993: three times the smaller of 2 numbers increased by 5 times the larger is 229. four times the smaller decreased by 25 equals 3 times the larger. find the numbers.
Also to solve it, we either need to use substitution or elimination method.

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Question 235959: 240-inch pipe is cut into 2 pieces. One piece is 4 times the length of the other. Find the lengths of the pieces.
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Question 235852: Ana has played 20 games and has a 90% winning percentage. Without losing any more games, how many more games in a row must she win to reach exactly a 92% winning percentage?
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Question 235826: In my class, one-half of the students went to the dance, one-third of the remainder went to the movies, and the remaining 8 people stayed home. How many students are in my class?
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Question 235840: An acquarium is 28 inches long, 14 inches wide, and 24 inches high. The volume of the water in the acquarium is 7644 cubic inches. How deep is the water?
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Question 235831: A total of 310 pumpkins were picked, separated by large and small. Large sold for $9.00 and small for $3.00. All pumpkins were sold and sales totalled $1,950.
How many small and large pumpkins were picked?

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Question 235443: the area of a rectangle is 12 meters. If its width is 2 4/7 meters, what is its length?
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Question 235441: A bag of fertilizer covers 3000 square feet of lawn. How many bags of fertilizer should be purchased to cover a rectangular lawn 260 ffet by 180 feet?
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Question 235609: Adult tickets to a show are $9. Student tickets are $6. If you sold 29 tickets for a total of $210, how many adult tickets did you sell
only use 1 variable

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Question 235674: I need help with this problem:
Two numbers; one is ten times greater than the other; their sum is equal to their product.
I have used trial and error and am just not getting it.
Thanks, Cathy

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Question 235483: A very long hallway has 100 lights with pull cords hanging from the ceiling. All the lights are off. A person comes along and pulls every cord, turning on all the lights. A second person comes along and pulls every second cord. This would turn off light numbers 2, 4, 6 etc. A third person comes along and pulls every third cord. Turning on some lights and turning off others. This continues until the one hundredth person comes along and pulls the one hundredth cord. At this point, which lights are on?
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Question 235391: A 333 inch board is to be cut into 3 pieces so that the 2nd piece is 3 times as long as the first piece and the 3rd piece is 5 times as long as the first piece. Find lengths of all 3 pieces..
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Question 235293: Please help/explain how I would solve this problem: five more than three times a number is 197?
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Question 235177: The product of the page numbers on two facing pages of a book is 506. Find the page numbers?

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Question 235188: I know how to set this up partially but I need help. A rectangle is 3 times as long as it is wide. If its length iand width are both decrased by 2cm , its area decreasd by 36 cm^2. find its orginal dimensions.
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Question 234843: Denver's elevation is 1 mile (5280 feet). The elevation of Loveland Pass, 70 miles west of Denver, is 11990 feet. What is the average slope of the land from Denver to Loveland Pass? (Use 70 miles to approximate the run)
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Question 234666: the sum of three numbers is 95 the sum of the first and the second is twenty-five more than the third number and the third is twice the first. find the numbers and show your work. i know this problem is x+y+z=95 but then I dont know where to go from there.
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Question 235016: A clock loses ten minutes each hour. If the clock is set correctly at 12:00 noon, what is the correct time when the clock reads 3:00 P.M.?
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Question 234731: Sara has twice as much money as Miguel. If she had $6 more, she would have 4/3 as much money as he has. How much money does each have now?
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Question 234770: A rectangle is 3cm longer than it is wide. The diagonal is 15cm. Find the dimensions of the rectangle.
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Question 234292: Please help me solve this word problem:
A drug store parking lot has space for 1000 cars. 2/5 of the spaces are for compact cars. On Tuesday, there were 200 compact cars and some standard size cars in the parking lot. The parking lot was 3/4 full. How many standard size cars were in the parking lot?

----Thank you =)

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Question 234723: Denise did 7/8 of the problems on a quizz correctly and five incorrectly. She completed all of the problems on the quiz. How many problems were on the quiz?
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Question 234711: Joann is five years older than her sister Teresa, Joann's age is one less than twice Teresa's. Find the ages of both girls.
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Question 234709: Find two consecutive integers such that the first increased by 2 is 17 less than their sum.
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Question 234707: the sum of twice a number and negative six is 9 more than the opposite of the number. Find the number.
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Question 234706: The Longs checking account was overdrawn by $35.87. On September 12, they deposited $580 in the account. While shopping on September 18, Mrs.Long wrote checks for $25 and $254.09. Find their new account balance.
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Question 234705: a triangular traffic Island has a base half as long as its height. Find the base and the heightif the Island has an area of 64m^2
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Question 234249: PLease help me solve this word problem:
Find a number which is decreased by 18 is 5 times its opposite.
----- Thank you =)

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Question 234601: Amy and Kim earned a total of $308 by working a total of 30 hours. If amy earns $8 an hour and kim earns $12 an hour. How many hours did each work?
If someone could help turn this into an equation I would appreciate it. thank you

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Question 234311: Please help me solve this word problem:
Glenna wants to rent a car for a trip to Key West for one week. She calls two car rental companies to get prices. Mr. Kotter's Rentals rents a Cadillac Escalade for $99 foe one week plus $0.11 per mile over 100 miles. Barbino's Rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles. If it is 432 miles to Key West, which company has the better deal? How many miles would Glenna drive before she would be spending the same amount at either company?
----Thank you =)

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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, 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, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155