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

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Question 445043: one complementary angle is 10 degrees more than the second. find the two angles.
Click here to see answer by checkley79(3341)

Question 445416: You have a rectangular vegetable garden that is 10 feet long and 12 feet wide. You enlarge the garden by increasing each side by y feet. Write the area of the larger garden in terms of a trinomial.
Click here to see answer by poliphob3.14(115)

Question 445451: The speed of the slower motorcyclist is____mph
The speed of the faster motorcyclist is____mph.
Help please.
Click here to see answer by rajagopalan(174)

Question 445490: Need help setting this up:
Six more than one-third of Peter's compact disks contain classical music. If Peter has 24 classical music CD's, how many CD's does he have in total?
Click here to see answer by rwm(914)

Question 445507: There are 6 books on a reading list. Students must read 3 of the books on the list. In how many different ways can a student select 3 books?
Click here to see answer by rwm(914)

Question 445464: What is the largest amount of postage that you CANNOT make using only stamps worth 5 cents and ll cents? You may use as many stamps as you wish, in any combination. Please go through all steps on how to get to the answer. Thank you
Click here to see answer by Edwin McCravy(20054)

Question 445442: In a right triangle, one of the acute angles is nine times as large as the other acute angle. Find the measure of the two acute angles.
___ smallest
____ largest
Click here to see answer by jorel1380(3719)

Question 445428: The weight of a synthetic ball varies directly with the cube of its radius. A ball with a radius of 2 inches weighs 4.80 pounds. Find the weight of a ball of the same material with a 3 inch radius.
The weight of a ball of the same material with a 3 inch radius is____lb.
thanks
Click here to see answer by jorel1380(3719)

Question 445637: The outside of a picture frame measures 12in by 19in. 78 in^2 of the picture shows. Find the thickness of the frame.
Click here to see answer by chriswen(106)

Question 445676: A computer company gives a discount of 10 % on a new piece of software. If it makes a profit of 7%, what percent does the marked price exceed the cost price?
Click here to see answer by stanbon(75887)

Question 445837: Please help. I cannot figure this out and the examples in my text book does not help at all. Thank you in advance.
Ten thousand raffle tickets are sold for $5 each. Four prizes will be awarded: one for $5000, one for $2500, and two for $1000. Assume that the probability that any given ticket is selected for the $5000 prize is 1:10000 the probability that any given ticket is selected for the $2500 prize is 1:10000 and the probability that any given ticket is selected for a $1000 prize is 2:10000.
a) Determine his expected value.
b) Determine the fair price of a ticket.
Please show work.
Click here to see answer by stanbon(75887)

Question 445896: Find the distance between the opposite corners of a rectangular room which is 12m by 9m. Use a scale of 1cm to 1m
Click here to see answer by Alan3354(69443)

Question 445906: Can someone help me with these problems?
Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the for form of y=mx +b
(6,7); 3x + y=8
_______________________________________________________
Find the slope, if it exists, of the line containing the pares of points.
(-17.7,13.5)and (-17.5, 8.7)
Click here to see answer by stanbon(75887)

Question 446044: Evaluate: 8C4
Click here to see answer by stanbon(75887)

Question 446090: it takes emmet 25 minutes to finish 2/3 of his homework. How long will it take to finish all of his work.
Click here to see answer by Leaf W.(135)

Question 446151: Select the set of equations that represents the following situation: The sum of two numbers is 73, and their difference is thirty-two less than the smaller number. What are the two numbers?
I am really unclear as to this problem, I think I start it off like this,

x+y=73
But I am at a loss for the rest. Any assistance would be helpful.
Thanks
Phil
Click here to see answer by mananth(16946)

Question 446270: Ten students from a class have volunteered to be on a committee to organize a dance.In how many ways can six be chosen for the committee?

Click here to see answer by jorel1380(3719)

Question 446645: The rate of heat lost through a 3.5 inch thickness of insulation is 2200 Btu per hours. What is the rate of heat lost through a 5-inch thickness of the same insulation?
Click here to see answer by stanbon(75887)

Question 446663: Find the number halfway between 4 1/6 and 5 1/8
Click here to see answer by rfer(16322)

Question 446736: a(T)=-2t(squared)+32T+12
the amount of nitrogen dioxide A was present in the air. T is the number of hours after 6 am. Use this function to find the time at which the nitrogen dioxide level was at its maximum. Graph the parabola.
Click here to see answer by stanbon(75887)

Question 446755: What is the largest amount of postage that you CANNOT make using only stamps worth 5 cents and ll cents? You may use as many stamps as you wish, in any combination. Please go through all steps on how to get to the answer. Also please solve it with mathematical induction.
Click here to see answer by richard1234(7193)

Question 446814: 2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26, and in January 2006, the price of regular unleaded gasoline was $2.31 (�Consumer price index,� 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer.

Click here to see answer by richard1234(7193)

Question 446830: 3. The linear equation
y=0.15x+0.79
represents an estimate of the average cost of gas for year x starting in 1997 (�Consumer price index,� 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
b. What is the slope, or rate of change, of this equation?
c. What is the y-intercept?
d. What does the y-intercept represent?
Click here to see answer by josmiceli(19441)

Question 446807: Solve. Please show all of your work.
The sum of twice a number and 4 less than the number is the same as the difference between -32 and the number. What is the number?
Click here to see answer by josmiceli(19441)

Question 446860: The perimeter of a rectangle is 38 meters. The length is 7 more than twice the width. Find the dimensions.
Click here to see answer by mananth(16946)

Question 446861: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a champuionship with 60 points. They won 12 more games than they tied. How many wins and how many teams did they have?
Click here to see answer by htmentor(1343)

Question 446876: If the sides of a triangle are 3, 4, and 5, then, to the nearest degree, the measure of the smallest angle of the triangle is....
Click here to see answer by sudhanshu_kmr(1152)

Question 446891: THE RATIO OF MALES TO FEMALES AT John High School is 5:4. If there are 800 females that attend Jones, how many males attend?
Click here to see answer by stanbon(75887)

Question 446890: find jill's average (mean) test grade if her grade are: 79,83, 92, 68 AND 87. rOUND THE AVERAGE GRADE TO THE NEAREST WHOLE NUMBER.
Click here to see answer by nerdybill(7384)

Question 447000: Five tests are given in a course. To get a C I must score at least 70 on the five tests. The scores for the first four tests are 74, 82, 60, and 68. Determine (in terms of an inequality) what scores on the last test will allow me to get at least a C.
Click here to see answer by jorel1380(3719)

Question 447071: Ms. morrision learned that $28 was withdrawn from her checking account when she purchased a scarf in Paris for 126 francs. about how much money would have been withdrawn from her account if she spent 172 francs at a restuarant?
Click here to see answer by rfer(16322)

Question 447081: the first term of the sequences 1,1/2,1/4,1/8,... can be written as 2^0. write the next three terms using negative exponents.
Click here to see answer by poliphob3.14(115)

Question 447167: Juan Valdez sells two types of coffee bean. The higher quality kind has 17% coffee and the ordinary kind has only 10% coffee. He gets an order for 50 tons of beans with 12% coffee. How much of each kind should he mix to get the desired percent?
I've tried (17x+10y)/2=13.5 - but that goes nowhere. Can you help me find the equation so I can solve the problem? Thanks
Click here to see answer by scott8148(6628)

Question 447265: An alligator tail length T, varies directly as its body length B. An alligator with a body length of 4 feet has a tail length of 2.8. What is the tail length of an alligator whose body length is 6 feet.
Click here to see answer by jorel1380(3719)

Question 447319: one number is 2 more than 3 times another. their sum is 22. find the numbers
Click here to see answer by rfer(16322)

Question 447418: Solve the system of equations by graphing then classify the system. Graph
6x - y = 24
6x + 7y = -24
What is the solution system? Type in ordered pairs.
A. The solution is ______.
B. There are infinitely many solutions/
C. No solution.
Click here to see answer by mananth(16946)

Question 447451: Hello. Can you help me to figure this out please?
Traffic signs are regulated by the Manual on Uniform Traffic control devices (MUTCD). The perimeter of some traffic signs must be 78 inches. Also, its length is 13 inches longer than its width. Find the dimensions of this sign.
The width of the sign in Inches:
The Length of the sign in Inches:

Click here to see answer by stanbon(75887)

Question 447575: a theater is set up in a way which there are 20 seats in the first row and four additional seats in each row. The last row has 144 seats. how many rows are there?

Click here to see answer by htmentor(1343)

Question 447608: The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. If the continuous rate is 5.4% and in 2007 you have 4815.90, how much did you initially invest in the account? Round your answer to the nearest dollar.
Click here to see answer by katealdridge(100)

Question 447573: (1.) The height of a triangle is 4 feet less than twice the base. If the area is 48 square feet, find the base and height.
(2.) The height of an object projected vertically is given by h=24t-16t^2. At what times will the object be on the ground?
Click here to see answer by nerdybill(7384)

Question 447572: The cumulative number of car accidents from 2000 to 2010 can be modeled by the quadratic expression C = -43x� + 1376x + 12040 where x=0 corresponds to 2000, x=1 corresponds to 2001 and so on until x=10 corresponds to 2010. Find the number of cumulative car accidents in 2005.
I don't understand this problem at all, could someone give me a hand, please?
Click here to see answer by Edwin McCravy(20054)

Question 447929: A golfer played 8 rounds on a tournament course with the following scores (par is the expected score for a round; negative numbers represent the number of strokes under par for the round and positive numbers represent the numbers of strokes over par for the round): +5, -2, +3, -1, -3, +6, +2, -7. The golfer played 2 more rounds, ending with an even par total for the 10 rounds. Her score for the last was 7 more than her score on the next-to-last round. What scores did the golfer have on the last two rounds?
Click here to see answer by rwm(914)

Question 447895: suppose you bought some .32 cent stamps and some .20 cent stamps. You spent $3.92 for sixteen stamps. How many of each stamp did you buy?
Click here to see answer by rwm(914)

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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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, 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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