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

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Question 91324: How can I Graph the following inequalities
thank you for your help
4x + y_> 4

Click here to see answer by jim_thompson5910(35256)

Question 91181: In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a �C� in Trigonometry, a �B� in American History, an �A� in Botany, and a �B� in Microbiology?

2.59
2.86
3.08
3.33
3.67

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

Question 91226: Sam kayaked 3 miles downstream, then paddled back upstream to his starting place. If the total trip took 4 hours, and the current in the stream was 0.4 miles per hour, at what speed can Sam paddle his kayak in still water? (use the quadratic method to solve)
Click here to see answer by ankor@dixie-net.com(22740)

Question 91208: A rectangle is 4 times as long as it is wide. A second rectangle is 5 cm longer and 2 cm wider than the first. The area of the second rectangle is 270 square cm greater than the first. What are the dimensions of the original rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 91460: For the graph of the function f(x) = x^2 - 6x + 10, find the vertex.
Click here to see answer by checkley71(8403)

Question 91421: a coffee merchant has coffee beans that sell for $9 a per pound and $12 per pound. The two types are to be mixed to create 100 pounds of mixture that will sell for $11.25 per pound. How much of each type of bean should be in used in the mixture?
Click here to see answer by checkley71(8403)

Question 91472: Two sided dice are tossed. Find the probability that the sum is 5 or less.
a. 1/3
b. 4/11
c. 5/12
d. 5/18
Click here to see answer by stanbon(75887)

Question 91489: A cable to the top of a tower makes an angle of 35 deg with the lower ground. At a point 100 yards closer to he tower the angle of elevation to the top of the tower is 59 deg. Estimate the length of the cable.
Click here to see answer by stanbon(75887)

Question 91526: Hello,
I need help solving this word problem:

The length of a rectangle is 10 more than three times its width. The perimeter of the rectangle is 108. Find the dimensions of the rectangle.

Thank you
Click here to see answer by stanbon(75887)

Question 91527: Hello,

I need help solving and writing an equation for this problem:

A number is decreased by 45. The result is then divided by 12. Then 20 is added to this new result to give a final result of 25. What is the number?

Thank you
Click here to see answer by stanbon(75887)

Question 91580: Solve each problem.
Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.
Click here to see answer by ankor@dixie-net.com(22740)

Question 91669: #1 Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second.

#2 An airplane covered 13 miles of its route while decreasing its altitude by 44,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]

#3 The difference of two positive numbers is 39. The larger number is 9 less than 4 times the smaller number. What are the two numbers?
Click here to see answer by ankor@dixie-net.com(22740)

Question 91667: Here is a question that has me stumped, please help.
A tube 10 inches in height has a volume of 5120�.I you halve the height, how large must you make the radius of the tube in inches so that it contains the same volume? Use the formula V = Pi r�h. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)

Question 91701: A force of 50 pounds stretches a spring 1.5 inches. (Hooke's Law)
(a.) Write the force F as a function of the distance x the spring is stretched.

Click here to see answer by stanbon(75887)

Question 91731: Factorise:
#1 a2 + 6ab + 9b2 - 1
PLEASE NOTE THAT IN THE QUESTION a AND b ARE NOT MULTIPLYING BY 2, BUT BOTH HAVE SQUARES i.e. (a)square + 6ab + 9(b)square - 1
Click here to see answer by Earlsdon(6294)

Question 91736: Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate?
Click here to see answer by Earlsdon(6294)

Question 91734: Melissa wants to have concrete driveway in front of her house. The driveway will measure 62 1/3 feet long and 19 feet wide; and will be 2/3 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard. [1 cubic yd = 27 cubic feet]
I think that you would multiply 62 1/3 by 19 by 2/3 but I am not certain, Please help. I came up with 31 cubic yards.
Click here to see answer by Earlsdon(6294)

Question 91683: Lane invested $22,000, part at 8% and the other part at 7%. If the total interest at the end of the year is $1,710, how much did she invest at 8%?
Click here to see answer by tutorcecilia(2152)

Question 91732: Sam found a number of nickels, dimes, and quarters in his room. He found three more dimes than nickels but twice as many quarters as dimes. The total value of the coins was $5.05. how many coins of each type did Sam find?
Click here to see answer by scott8148(6628)

Question 91834: Jaimie was trying to count the number of cookies at the party. One-half were chocolate chip, 12 were peanut butter, one-third were oatmeal. How many cookies did she count?
Click here to see answer by praseenakos@yahoo.com(507)

Question 91968: How can I show the equation use for the solution?
A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Click here to see answer by mathispowerful(115)

Question 91969: Solve the following systems by substitution.
5x - 2y=-5
y- 5x =3

Click here to see answer by jim_thompson5910(35256)

Question 91967: how can i show the equations used for the solution.
Richard has 22 coins with a total value of $4. If the coins are
all quarters and dimes, how many of each type of coin does he have?

Click here to see answer by stanbon(75887)

Question 91963: Find values for m and b in the following system so that the solution to the system is (-3,4).
5x+7y=b
mx+y=22
Click here to see answer by stanbon(75887)

Question 91966: How can I show the equations used for the solution of this problem
Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

Click here to see answer by mathispowerful(115)

Question 91914: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
By trial and error I have found that the answer is 226 but can't figure out an equation, please help.
Click here to see answer by bucky(2189)

Question 91976: Draw the appropriate graphs in of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant�s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM adios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.

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

Question 92066: a light bulb consumes 2400 watt-hours per day,how long does it take to consume 11200 watt hours
Thank you for this help
Click here to see answer by Nate(3500)

Question 92014: A wire is in the form of a circle of radius 14cm. If the wire is bent into the shape of a square, find
(a) the perimeter of the square,
(b) the area of the square.
[[ Take pi to be 3.14]]
Click here to see answer by Nate(3500)

Question 91898: A number is divided into two parts in the ratio 7:4, If the larger part is 21, find the number.

Click here to see answer by mathispowerful(115)

Question 92117: show the equation used for the solution.
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
Click here to see answer by anraymer(35)

Question 92115: show the equation used for the solution.
In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?

Click here to see answer by anraymer(35)

Question 92118: Draw the appropriate graphs in each of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant�s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM adios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.

Click here to see answer by stanbon(75887)

Question 91973: Solve the following problems.show the equation used for the solution.
Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?

Click here to see answer by ptaylor(2198)

Question 91974: Solve the following problems.show the equation used for the solution.
length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

Click here to see answer by ptaylor(2198)

Question 92167: The formula b(t) = 1.353(1.9025)^t represents the number of broadband internet users (in millions) where t if the time in years measured from 1998. How many broadband users (to the nearest million) does this formula predict for 2004?
Click here to see answer by bucky(2189)

Question 92196: Directions: Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Click here to see answer by uma(370)

Question 92197: Directions: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice.
The probability that San Fransisco plays in the next super bowl is nine times the probability that they do not play in the next super bowl. The probability that San
Fransisco plays in the next super bowl plus the probability that they do not play is 1. What is the probability that San Fransisco plays in the next super bowl?
Click here to see answer by stanbon(75887)

Question 92116: show the equation used for the solution.
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.
Click here to see answer by scott8148(6628)

Question 92215: Find all (vertical and horizontal) asymptotes of f(x) = 2x^2 + 4x + 2 / 1-x^2. What is the domain of this function?
Click here to see answer by stanbon(75887)

Question 92214: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to cover the parking lot with asphalt?
Click here to see answer by bucky(2189)

Question 92218: Please help me with this problem I am about to pull my hair out.
Suppose that a polynomial function of degree 4 with rational coefficients has -1,0, and 2-3i as zeros. What is the remaining zero?
Click here to see answer by stanbon(75887)

Question 92201: Directions: Solve each problem by using an absolute value equation or inequality.
Jude's IQ score is more than 15 points away from Sherry's. If Sherry scored 110, then in what range is Jude's score?
Click here to see answer by Nate(3500)

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