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

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Word Problems: Miscellaneous Word Problems

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Question 102548: Find two consecutive positive integers such that the sum of
their squares is 85.

Click here to see answer by jim_thompson5910(13794)

Question 102556: Texas Products Inc. has a division that makes plastic composite bags for the space industry. The division has fixed costs of $45,000 per month, and it expects to sell 45,000 bags per month. If the variable cost per bag is $6.00, what price must the division charge in order to break even?
Click here to see answer by JP(22)

Question 102540: 6 people are going on vacation. The total for the cabin rental is $885.40.
4 of the six people are staying for 7 nights while the other 2 are staying for 6 nights. To be fair to everyone I need to know how much the 4 owe for 7 nights and the 2 owe for 6 nights. It seems simple, but for the life of me I can't figure it out. Your help with this would be greatly appreciated.
Click here to see answer by doukungfoo(195)

Question 102565: A solar collector is 2.5 m long by 2.0 m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector is 4 m2, what is the width of the frame to the nearest tenth of a centimeter?
Click here to see answer by josmiceli(3012)

Question 102550: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft², what is the width of the path?
Click here to see answer by ankor@dixie-net.com(6693)

Question 102892: Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold?
Click here to see answer by doukungfoo(195)

Question 102899: How much corn starch do you need for 45 people, if a recipe for 12 people requires 5 cups?
Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 102895: Im having difficulty figuring this question out.What is the correct units. Round to nearest hundredth if necessary. Can you please help.. Thanks
It takes 7.5 hrs for 16 people to place flyers on each of the kiosks on campus.
How long would it take 13 people?

Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 102896: A small pump takes 14 hrs to empty the storage tank. A medium pump would take 8 hrs. A large pump would take 6 hours.
How long would it take the small and medium together?
Click here to see answer by ptaylor(1578)

Question 102898: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle?
Click here to see answer by Fombitz(2113)

Question 102736: Could someone please help me with this word problem.
A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by ankor@dixie-net.com(6693)

Question 103027: Your test scores for the semester are 87, 84, and 85. Can you raise your test average to 90 with your next test?
Click here to see answer by doukungfoo(195)

Question 103086: A five foot six inch tall woman casts a twelve foot long shadow. at the sam time a tree casts a 45 foot long shadow. How tall is the tree?
Click here to see answer by bucky(1732)

Question 102964: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. ONe of the pipes can fill the pool by itself in 2 hours. How long would it take the other pipe to fill the pool by itself
Click here to see answer by ankor@dixie-net.com(6693)

Question 103143: mark uses 1 pt 9 fl oz and then 2 pt 10 fl oz from a container of film developer that hold 3 qt. how much developer is remains?
Click here to see answer by MathLover1(1183)

Question 103146: the US emitted 19.5 million tons of nitrogen oxides into the atmosphere in 1987. one metric ton equals 1,000 kg. how many kilograms of nitrogen oxide were emitted to the atmosphere in US in 1987?
i am so lost any help? thank you
Click here to see answer by HyperBrain(694)

Question 103142: a virus scanning program is checking every file for viruses. it has completed 40% of the files in 300 seconds. how long would it take to check all the files?

Click here to see answer by HyperBrain(694)

Question 103141: a school had 900 students at the start of the school year. if there is an enrollment increase of 7% by the beginning of the year, what is the new enrollment?
thank you for the help
Click here to see answer by HyperBrain(694)

Question 103160: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by edjones(3298)

Question 103182: One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number.

Click here to see answer by stanbon(26291)

Question 102611: The doubling time for e-coli= 20 minutes
Mass of the e-coli bacterium =10 to the -12g
Mass of the earth =5.9763* 10 to the 24kg

• What is the mass of a colony of e coli after 1 day (24hrs) of exponential growth from one single e-coli bacterium?

• How long would it take to reach a mass equivalent to planet earth?

Click here to see answer by Fombitz(2113)

Question 103304: If we spend $15 for lunch and my friend spent $3 more than I did, what did I spend?
Click here to see answer by JP(22)

Question 103363: Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
Click here to see answer by stanbon(26291)

Question 103369: A common mistake when solving equations is the following:
The equation: 2(x-2)=x+3
First step in solving: 2x-2=x+3
What error has been made? What could be done to avoid this error?

Click here to see answer by checkley75(3666)

Question 103130: A projectile is thrown upward at the rate of 42 feet per second from a platform 150 feet high.
How long does it take to hit ground?
Click here to see answer by ankor@dixie-net.com(6693)

Question 103405: If a man is 80cm, plus half his own height tall. How tall is he?
Click here to see answer by Fombitz(2113)

Question 103478: The demand equation for a certain type of printer is given by
D= -200p +35,000
The supply equation is predicted to be
S= -p2 +400p - 20,000
Find the equilibrium price.

Click here to see answer by checkley75(3666)

Question 103474: The equation h=-16t² + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.

Click here to see answer by checkley75(3666)

Question 103404: The office pool to buy lottery tickets has 10 members, each of whom chips in the same amount. One week, however, two members went on vacation, and the remaining eight had to give an extra dollar to make up the difference. How much money did they contribute.
Click here to see answer by ankor@dixie-net.com(6693)

Question 103744: tom and tina set out on their bikes at noon and travel toward each other, meeting at 2:30PM. Tina's speed is 4 mi/hr faster than tom's speed and their starting points are 50 mi. apart
Click here to see answer by oberobic(93)

Question 103752: Solve for y
x+5y=10
-5 -5 Y=5
Click here to see answer by cb11(1)

Question 103789: Movie tickets for an adult and three children cost $32. An adult's ticket costs $2 more than child's ticket. Find the cost of the adult ticket.

Click here to see answer by stanbon(26291)

Question 103832This question is from textbook

: What is Pemdas?This question is from textbook

Click here to see answer by elima(1433)

Question 103837: The sum of the digits of two- digit numbers is 10. if the digits are reversed, the new number is 54 less than the original number. Find the original number.
Click here to see answer by stanbon(26291)

Question 103838: The total height of a builing and the flagpole on the roof is 290feet. The building is 9 times as high as the flagpole. How high is the flagpole?
Click here to see answer by MathLover1(1183)

Question 103338: WHILE ROAD TESTING A NEW MAKE OF CAR, THE EDITOR OF A CONSUMER MAGAZINE FINDS THAT HE CAN GO 12 MILES INTO A 2-MILE-PER-HOUR WIND IN THE SAME AMOUNT OF TIME HE CAN GO 13 MILES WITH A 2-MILE-PER-HOUR WIND BEHIND HIM. FIND THE SPEED OF THE CAR IN STILL AIR.
Click here to see answer by ankor@dixie-net.com(6693)

Question 103830This question is from textbook

: What is Pemdas?This question is from textbook

Click here to see answer by stanbon(26291)

Question 103831: How many liters of 22% and 12% acetic acid should be mixed to produce 48 liters of 15% acetic acid?
Click here to see answer by Earlsdon(4900)

Question 103708: Three lighthouses on three nearby islands flash their lights every evening. On one island, the light flashes every 45 seconds. The secon lighthouse flashes eveery 2 minutes. the third flashes every 1 1/4 minutes. Suppose all three lights flash together at 8:35 pm. At what time will all three lights flash together again?
Click here to see answer by ankor@dixie-net.com(6693)

Question 103712: The sum of two numbers is 39.Twice the first number plus three times the second number is 101.
Click here to see answer by scott8148(3382)

Question 103852: Cindy gets a paycheck. She repays her brother $10 she owes him and spends $30 on gas. She then spends half of the remaining money on a tent. She buys a pair of shoes for $29.45 and has $17.75 left.
What was the amount of her paycheck?
Click here to see answer by stanbon(26291)

Question 103874: translate to a system of equations and solve
The sum of two numbers is 27. One half or the first number plus one third of the second number is 11. Find the numbers
Click here to see answer by stanbon(26291)

Question 103923: This is my problem...
Solve the system by graphing.
3x + y = 6
3x – y = 0
This is the solution I came up with when I worked it out
3x + y = 6
3(0) + y = 6
y = 6

3x + 0 = 6
x = 6/3
x = 2
Points (2, 0) (0, 6)
3x – y = 0
3(0) – y = 0
y = 0 + 0
y = 0
3x – 0 = 0
3x – 0 = 0
x = 0/3
x = 0
Points (0,0) (0,0)
I am not sure if this is a trick queation or what, but I am unable to plot the points for (0,0) (0,0)and make the treadline because both points end up on zero.
It was easy to plot Points (2, 0) (0, 6)and make the treadline.
Since I am unable to gat a treadline for Points (0,0) (0,0)how can I find the final solution set that solves the system? What am I doing wrong???
Please advise...
Rev. Barbara
Click here to see answer by stanbon(26291)

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