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

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Question 450537: On an NBA team the two forwards measure 6'8" and 6'6" and the two guards measure 6'0" and 5'9" tall. How tall a center should they hire if they wish to have a starting team average height of at least 6'5"?
Click here to see answer by jorel1380(3719)

Question 450555: A triangle has a side of length x. The second side of the triangle is 2 inches longer than the first side. The third side is 4 inches longer than the first side. The square of the first side plus the square of the second side is equal to the square of the third side. What is the length of each side of the triangle? Use the 5-step method.
The 5-step method is:
1. Select a variable to represent the basic unknown number.
2. Represent all the other unknown numbers in terms of that variable.
3. Write an equation that represents the relationships stated in the problem.
4. Solve the equation.
5. Check.
Click here to see answer by jorel1380(3719)

Question 450687: in massachusetts, speeding fines are determined by the formula f=10(x-65) where you borrow 5300 from a friend and promise to pay back 7100 in two years. what simple intrest rate will you pay?
Click here to see answer by rwm(914)

Question 450688: you borrow 5300 from a friend and promise to pay back 7100 in two years. what simple intrest rate will you pay?
Click here to see answer by rwm(914)

Question 450688: you borrow 5300 from a friend and promise to pay back 7100 in two years. what simple intrest rate will you pay?
Click here to see answer by stanbon(75887)

Question 450740: amateur athletes were classified according to nutrition and injuries. the results are in the chart.
injury rate
low average high
poor nutrition 3 5 12
good nutrition 19 7 4
a. what is the probability of randomly selecting an athlete who has an average injury rate?
b. what is the probability of randomly selecting an athlete who has poor nutrition and a high injury rate?
c. what is the probability of randomly selecting an an athlete with a low injury rate given that the athlete has good nutrition?
d. what is the probability of randomly selecting an athlete who haspoor nutrition or a low injury rate?
Click here to see answer by stanbon(75887)

Question 450827: A cowboy was asked how many cows were on the ranch. He replied that he was unsure, but he knew that when he counted them by twos, threes, fours, fives or sixes he always had one left over. The only way he could avoid this was to count by sevens; he then had non left over. What is the smallest number of cows on the ranch?
Click here to see answer by solver91311(24713)

Question 450738: the cost of electricity in a certain city is 0.08 for each of the first 300k wh a month and 0.13 for eack kilowatt hour over 300k wh a month. find the amount of money a family pays with a monthly use of 425 k wh.
Click here to see answer by ankor@dixie-net.com(22740)

Question 450824: There are three exams in a marking period. A student received 75 and 80 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80% for the marking period.
Click here to see answer by jorel1380(3719)

Question 451064: Manuel has a job transporting soft drinks by truck. His truck is filled with cans that weigh 14 ounces and bottles that weigh 70 ounces. There is a combined total of 940 cans and bottles in his truck.
Letting x be the number of the 14 ounce cans in his truck, write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.
Click here to see answer by rwm(914)

Question 451180: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
a) 8.1
b) 8.3
c) 8.6
d) 8.9
e) 9.0
I know with averages you add the groups of numbers and then divide by the number of groups. I came up with e)9. I must be missing something because the answer key says that the correct answer is d)8.9. I need to know if the answer key is wrong or if I am doing something wrong. Please show the detailed solution if i am doing something wrong.
Click here to see answer by ewatrrr(24785)

Question 451028: the force exerted by the wind on a plane surface varies directly with the area of the surface and the square of the velocity of the wind. If the force on an area of 20 square feet is 11 pounds when the wind velocity is 22 miles per hour, find the force on a surface area of 47.125 square feet when the wind velocity is 36.5 miles per hour.
Click here to see answer by ankor@dixie-net.com(22740)

Question 451215: The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle
Click here to see answer by lwsshak3(11628)

Question 450948: Word Problems: Growth and Decay
Question: Ley needs to replace her car. If she leases a car, she will pay $410 a month for 2 years and then has the option to buy the car for $14,458. The current price of the car is $17,369. If the car depreciates at 16% per year, how will the depreciated price compare with the buyout price of the lease?
Click here to see answer by jorel1380(3719)

Question 451243: Find the solution sets to the following quadratic equations. Remember to first put into standard form if necessary.
1. 3x^2+4x^2=35
3x^2-28=2x^2+33
x^2-25=50
Click here to see answer by MathLover1(20849)

Question 451082: Michael mows lawns for his summer job. He only averages three lawns a week for the first eight weeks, but then averages six lawns a week for the last four. What is the average number of lawns he mowed per week during the entire summer?
Click here to see answer by ankor@dixie-net.com(22740)

Question 451316: Topic: Measurement
Making curtains for a window that is 6 feet wide and 3 feet high.The length of the fabric must be 1 1/2 times the width of window ,the fabric needs to be an extra foot wide for the hems.
How many square feet of material is needed?
The fabric costs $8.00 per square yard,how much does it cost to make the curtains?
Email address: lostworld99@yahoo.com
Click here to see answer by jorel1380(3719)

Question 451462:
Click here to see answer by edjones(8007)

Question 451480: The sum of three numbers is 69 . The second number is 9 less than the first . The third number is 2 times the second. What are the numbers?

First number=?
Second number=?
Third=?
Click here to see answer by edjones(8007)

Question 451486: There are 7 more grams of fat in 1 pound of 80% lean ground chuck than in 1 pound of 93% lean ground turkey. If there is a total of 23 grams in 1 pound of each, find the number of grams of fat in 1 pound of lean ground turkey.
Click here to see answer by jorel1380(3719)

Question 451570: The resistance of a wire to the transmission of electricity varies directly as the length of the wire and inversely as the square of the radius of a cross section of the wire. An 800m has a radius of 0.48cm and ha a resistance of 0.3125 ohms. if another wire made from the ame metal has a length of 500 m and a resistance of 0.5 ohms, what is the radius?
Click here to see answer by stanbon(75887)

Question 451569: The resistance of a wire to the transmission of electricity varies directly as the length of the wire and inversely as the square of the radius of a cross section of the wire. An 800m has a radius of 0.48cm and ha a resistance of 0.3125 ohms. if another wire made from the ame metal has a length of 500 m and a resistance of 0.5 ohms, what is the radius?
Click here to see answer by stanbon(75887)

Question 451634: The sum of two number is 9. The sum of their squares is 101. Find the numbers
Click here to see answer by pedjajov(51)

Question 451879: A football team snaps the ball from their 10 yard line. The quaterback throws to a receiver who line up 20 yards to the right of the quaterback and ran straight downfield. If the pass was 25 yards, how far downfield was the receiver when he caught the ball? A)15 yards , B)5 yards, C) 5 square root of 41, d) 10 square root of 2
Click here to see answer by ankor@dixie-net.com(22740)

Question 452167: the perimiter of a rectangle is 42cm the length is 3 cm greater than the width find the width and length
Click here to see answer by unlockmath(1688)

Question 452234: You paid 50 dollars for a meal which included tip. You gave a 18 % tip. How much was the meal before tip?
Click here to see answer by stanbon(75887)

Question 452319: what is the mean of x and (x+2)
Click here to see answer by jorel1380(3719)

Question 452042: The owner of a rental house can depreciate its value over a period of 27 1/2 years, meaning that the value of the house declines at an ever rate over that period of time until the value is $0.
By what fraction does the value of the house depreciate the first year?
If the house is judged to be worth $85,000, what is the value of the first year�s depreciation?

Click here to see answer by jorel1380(3719)

Question 451665: karen Can be paid in one of two ways for selling insurance policies:
Plan A : A salary of $750 per month, plus a commission of 10% of sales;
Plan B : A salary of $1000 per month, plus a commission of 8% of sales in excess of $2000.
For what amount of monthly sales is plan A better then plan b if we can assume that sales are always more than $2000?
Click here to see answer by jorel1380(3719)

Question 451607: Juan Makes $3 an hour doing errands for his aunt. His aunt has promised him a raise. If Juan's raise is R dollars per hour, how much will he make if he runs errands for 25 hours on month?

Click here to see answer by jorel1380(3719)

Question 448896: the Value M(in dollars)of a laptop computer t years after it was purchased new can be estimated using the function M(t)=800/t+100 where t is greater than or equal to 1. Estimate the laptop's value 4 years after purchase. what does the value fo teh laptop approach as time passes?
Click here to see answer by jorel1380(3719)

Question 448522: Identify what your variables represent. Write two equations and solve the system.
After a snow advisory in January, Fleet Farm had a run on snow shovels. They had the Snowpusher on sale for $15.95 and the lighter weight Snowdozer on sale for $7.95. By the end of one week, t he entire inventory of 415 shovels had been sold out and the receipts for them totaled $4779.25. How many of each type did they sell?
Click here to see answer by jorel1380(3719)

Question 448967: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $130 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the firdt $220, but only 25% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $220 in bills.
Giselle would save with plan B if she had more than $______ in bills.
(round to the nearest whole number.)
Click here to see answer by jorel1380(3719)

Question 448970: The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model,I= 700 W/H2(little 2 over the H), where W=weight, in pounds, and H=height, in inches. Francis weighs 214 pounds and stands 76 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low-risk category.
Francis' approximate body mass index is_______. (round to the nearest whole number.)
Click here to see answer by jorel1380(3719)

Question 449384: Business production: A business has three machines that manufacture containers. Together they make 100 containers per day, whereas the two fastest machines can make 80 containers a day. The fastest machine makes 34 more containers per day than the slowest machine.
A. letting x, y, and z, be the number of containers that the machines make from fastest to slowest, write a system of three equations whose solution gives the number of containers that each machine can make.
B. Solve the system
Click here to see answer by jorel1380(3719)

Question 451687: If a bicycle has a radius of 18 inches, how many times will the tire rotate if the bicycle travels for half a mile
Click here to see answer by jorel1380(3719)

Question 451568: The volume of a cone varies jointly as its height and the square of its radius. A certain cone has a volume of 720 pi cm cubed , a height of 15 cm , and a radius of 12 cm. Find the radius of another cone that has a height of 27 cm and a volume of 567pi cm cubed
Click here to see answer by jorel1380(3719)

Question 451567: The number of persons needed to do a job varies directly as the amount of work to be done and inversely as the time in which the job must be done.If 3 people can mow 300m squared of grass is 0.5 h , how long will it take 7 people to mow 7000m squared of grass?
Click here to see answer by jorel1380(3719)

Question 452386: The function F described by F(C) =
95
C + 32 gives the Fahrenheit temperature corresponding to the
Celsius temperature C. Find the Fahrenheit temperature equivalent to -25 �C.
Click here to see answer by stanbon(75887)

Question 452385: Frank can type a report in 2 hours and James takes 5 hours. How long will it take the two of them
typing together?
Click here to see answer by josmiceli(19441)

Question 452398: the state of Alaska is much larger than the state of Vermont. After researching, you find that the state of Alaska is 380 square miles, which is 50 times larger than Vermont. If a represents the area of Vermont, write an expression to represent the area of Alaska.
Click here to see answer by jorel1380(3719)

Question 451313: The difference of two numbers is 5. The sum of the numbers is 35. Find the numbers using algebra.
Click here to see answer by jorel1380(3719)

Question 451081: Michael mows lawns for his summer job. He only averages three lawns a week for the first right weeks, but then averages six lawns a week for the last four. What is the average number of lawns he mowed per week during the entire summer?
Click here to see answer by jorel1380(3719)

Question 450764: a an ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, ans 2 cans of mango juice. suppose that you reach into the container and randomly select three cans in succession without replacement. find the probability of selecting three cans of apple juice.
Click here to see answer by jorel1380(3719)

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, 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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690