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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 75370: the perimeter of a rectangle is 84 cm. the length is twice the width. Find the length and width.
Click here to see answer by checkley75(3666)

Question 75398: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(22740)

Question 75501: Randall has been to bat 45 times so far this season. he has gotten 10 hits for a batting average of .222. how many consecutive hits would he get to raise his batting average to .300
Click here to see answer by checkley75(3666)

Question 75492: A total of 129 players entered a single-elimination handball tournament. In the first round of play, the top-seeded player received a bye and the remaining 128 players played in 64 matches. Thus, 65 players entered the second round of play. How many matches must be played to determine the tournament champion?
Click here to see answer by 303795(602)

Question 75473: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.
Click here to see answer by checkley75(3666)

Question 75741: Business and finance. The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
Click here to see answer by checkley75(3666)

Question 75804: The number 66 is divided into smaller numbers. One number is 3 more than twice the other number. Find the larger of the two numbers.
Click here to see answer by bucky(2189)

Question 75805: If b and 7 are solutions to the equation x^2-4x=a. find the value of a+b.
Click here to see answer by Edwin McCravy(20054)

Question 75836: Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had?
Click here to see answer by checkley75(3666)

Question 75892: Of the 130 students who took a math exam, 90 correctly answered the first question , 62 correctly answered the second question, and 50 correctly answered both questions.
a. How many students correctly answered either the first or second question?
b. How many students did not answer either of the two questions correctly?
c. How many students answered either the fist or second question correctly, but not both?
Click here to see answer by stanbon(75887)

Question 75898: Some managers are to be selected from a group of 30 to work on a special project.
a. In how many ways can 3 managers be selected?
b. In how many ways can a nonempty group of at most 3 managers be selected from the 30 managers?

Click here to see answer by stanbon(75887)

Question 75882: 8 children divide 32 apples. Kitty took 1 apple, Mary 2, Sherrie 3, and Caroline 4. Bob Smith took as many as his sister. Ken Brown took twice as many as his sister. Jim Jones 3 times as many as his sister and Tom Robinson 4 times as many as his sister. What is the last name of each of the 4 girls?
Please help!! I think I have tried every combo but the closest I have come is a total of 29. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)

Question 75967: Bob scored 48 points last season. this is 6 fewer than twice the number Gene scored. How many points did Gene score? Please show how you solved it.
Click here to see answer by funmath(2933)

Question 75963: Suppose a City Council consist of 4 men and 5 women.
a. In how many ways can the City Council members be lined up for a group picture?
I'm not sure if I did this right, but here is how I approached this problem.
9x8x7x6x5x4x3x2x1=362,880
I was confused on these.
b. In how many ways can they be lined up if the men and women must alternate?
c. In how many ways can they be lined up with the men together and the women together?
d. In how many ways can they be arranged if two rows are used with the women in the front row and the men in the back row?
Click here to see answer by josmiceli(19441)

Question 75855: Suppose the sum of two numbers is 16. Find the two such numbers such that the sum of their squares would be a minimum.
Click here to see answer by Cintchr(481)

Question 75890: How many four-digit numbers can be formed from the digits 0,1,2,3,4,5 if no repetitions are allowed and 0 cannot be the first digit?
Click here to see answer by kev82(151)

Question 76175: A brownie pan has dimensions
8" by 4" by 2 3/5".
Compute the volume of the pan.
Express your answer in decimal form.
If the batter is 1.75" deep, what percent of the pan is filled with brownie batter?
7th grade math
Click here to see answer by checkley75(3666)

Question 76195: Hi, I could really use some help with this. I think I can figure it out if I could just get the quadratic function right, so any help would be appreciated.
A horizontal bridge is in the shape of a parabolic arch. Given the information shown in the figure (base is 20 ft, height in middle is 10 ft), what is the height h of the arch 2 feet from shore?
Thank you,
Jodi
Click here to see answer by scott8148(6628)

Question 76178: Write and solve a two-step equation to answer the question.
Pearson rented a moving van for 1 day. The total rental charge is $66.00. A daily rental cost $45.00 plus $0.25 per mile.
How many miles did he drive the van?
Click here to see answer by stanbon(75887)

Question 76374: Art earns a 7% commission on all stock and mutual funds sold. In one month, Art made $2800 in commissions. What were Art's total sales for that month
Click here to see answer by checkley75(3666)

Question 76430: In one multivitamin pill, the ratio of the number of units of Vitamin C to the number of units Vitamin E is 40 to 13. If the pill contains 200 units of Vitamin C, how many units of Vitamin E does it contain?
? units
Click here to see answer by wodkit02(9)

Question 76455: Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula F=9/5C + 32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10, 0, 15, 100?
Please help me I have try to solve this problem but cannot seem to get it.
Thanks,
Peggy
Click here to see answer by Earlsdon(6294)

Question 76429: The force needed to stretch a spring a certain distance varies directly with the distance. An 8 pound force stretches a spring 3.5 inches. How much force is needed to stretch the spring 12 inches.

? lb
(round to nearest 0.1)
Click here to see answer by checkley75(3666)

Question 76695: An airplane covered 10 miles of its route while decreasing its altitude by 10,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth.
I know that 1 mi = 5280 feet
Click here to see answer by funmath(2933)

Question 76815: An 800 g solution of acid and water contains 128 g of acid. What percent of the solution is acid?
So far I have done this just subtracted.
800-128=672

Click here to see answer by mathman409(67)

Question 76823: Use the following table to answer the question.
Population of Europe by Age Groups
Population (in thousands)
--------------1950------1970----1995
Age 0-14/----/143,175---166,367---139,464
Age 15-64/--/359,162---421,432---487,110
Age 65+ /--/--44,981----68,642---101,338
Age 75+ /--/--14,553----22,762-----38,139
Total---/--/-547,318---656,441---727,912
Source: European Rural Development (ERD) Project.
What percentage of Europe's population was in the age 15-64 group in 1950?
This is what I have done so far.
547,318 - 359,162=188,156

Click here to see answer by checkley75(3666)

Question 76755: how do I figure this out?
Science and medicine. Ariana took 2 h longer to drive 360 mi on the first day of
a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
Click here to see answer by checkley75(3666)

Question 76871: This math problem is on a take home quiz that I am allowed to get help on from anybody. I'm in Algerbra II.
Question:
What is the probability of NOT drawing a pair of aces from a standard 52-card deck when 2 cards are randomly drawn without replacement?
Click here to see answer by stanbon(75887)

Question 77025: Mouse Pad. The area of a rectangular mouse pad is 480 sq centimeters. Its length is 16 centimeters shorter than twice its width.
What are the lengths and width of the mouse pad in centimeters.
I am having problems creating an equation for this to solve. we are doing factoring with standard form. I know the answer is 20 cm and 24 cm but what I have come up with is 2x(x-16)=480. I know that you have to get a 0 on the = side. Can you help me.
Kelly
Click here to see answer by jim_thompson5910(35256)

Question 77090: Science and technology. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written 1/10 divided by 1/4. Write the ratio in simplest form.

Click here to see answer by funmath(2933)

Question 77086: Science and medicine. The mass of the sun is approximately 1.99* 10^30kg. If this were written in standard or decimal form, how many 0s would follow the digit 8?
Please help?
Click here to see answer by checkley75(3666)

Question 77082: Social Science. If there are 6 *10^9 people on Earth and there is enough freshwater to provide each person with 8.79 * 10^5 L, how much freshwater is on the Earth?
Click here to see answer by checkley75(3666)

Question 77096: Find the original cost of a car with a salvage value of $2500 after 10 years and use an annual depreciation of $2200.
annual depreciation= original cost- salvage value/ life expectancy
Click here to see answer by checkley75(3666)

Question 77286: If the sides of a sqare are decreased by 2 cm, the area is decreased by 36cm^2. What were teh dimensions of the original Square? This comes from a chapter on factoring and I for the life of me can't see the formula correctly. I have been working out the problem as
36^2=x^2+x^2-2 but I know this is wrong?? Please HELP
Debbie
Click here to see answer by Earlsdon(6294)

Question 77284: A rectangular painting has dimensions x and x + 10. The painting is in a frame 2 in. wide. The total area of the picture and the frame is 900 in. sq. What are the dimensions of the painting?
Click here to see answer by checkley75(3666)

Question 77411: Please help, I do not know what to do? The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The above formula for the United States then becomes P(in millions) = 250 * 2^(y-1990)/66 Social science. What will the population of the United States be in 2025 if this growth rate continues?
Click here to see answer by stanbon(75887)

Question 77345: If 1/2 of 16 were 13, what would 1/3 of 32 be?
Click here to see answer by ankor@dixie-net.com(22740)

Question 77500: Greg spent 1/4 hour (h) responding to emails and 5/8 h returning phone calls. How much time did he spend on the two activities?
Click here to see answer by rajagopalan(174)

Question 77580: Write the ratio of 7 nickels to 2 quarters in simplest form.
I think it would be 7/2. Am I right? Please confirm.
Click here to see answer by stanbon(75887)

Question 77755: Science and technology. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written 1/10 divided by 1/4. Write the ratio in simplest form.
Click here to see answer by stanbon(75887)

Question 77756: Science and medicine: The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula:
RT= 1/1/R1 +1/R2
Simplify the formula.

Click here to see answer by stanbon(75887)

Question 77741: Business and finance. Kevin earned $165 interest for 1 year on an investment of
$1500. At the same rate, what amount of interest would be earned by an investment of $2500?

Click here to see answer by stanbon(75887)

Question 77737: Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
Click here to see answer by scott8148(6628)

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, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690