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

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Question 1072618: Two angles are complementary. The measure of the smaller angle is seven-eighths the measure of the larger angle. Find the measure of the smaller angle.
Click here to see answer by rfer(16322)

Question 1072616: Grain worth 65 cents per pond was mixed with grain worth 90 cents per pounds to produce 20 pounds of a mixture worth 80 cents per pound. How many pounds of each were used?
Click here to see answer by josgarithmetic(39615)

Question 1072664: Alice is paying her bill at a restaurant. The tax on the cost of the meal is 5%. She decides to leave a tip of 20% of the cost of the meal plus the tax. Write an expression for her total bill if the cost of her meal is m dollars. Write your answer in simplified form.
Click here to see answer by htmentor(1343)

Question 1072704: Ryan has a large vegetable garden that is in the shape of a right triangle. The sides of the triangle measure 12 ft, 37 ft, and 35 ft. He wants to place a sprinkler so that it will water the entire garden, but he wants to keep the wasted water to a minimum. Where should he place the sprinkler? what percentage of the water will fall outside of the garden?
Click here to see answer by Fombitz(32388)

Question 1072621: Gilbert plans to invest $12,000 into two types of bonds which yield 9% and 11% annually. If he wants to earn a total of $1200 annually, how much should he invest in each bond?
Click here to see answer by jorel1380(3719)

Question 1072615: Miguel's coin collection consists of dimes and quarters. If he has 53 coins that are worth $7.85, how many of each type of coin does he have?
Click here to see answer by jorel1380(3719)

Question 1072768: In a 100-yard race, athletes A, B, and C each run at a uniform pace throughout. If A beats B by 10 yards, by how many yards does A beat C? Please explain. Thank you!
Click here to see answer by ikleyn(52765)

Question 1072783: what is the rate percent p.a. of a sum of money which doubles in 17 years at compound interest?
Click here to see answer by josgarithmetic(39615)

Question 1072472: The pizza shop sells artwork by local artist for each piece at sells the shop receives a 50% commission the most expensive piece in ever sold was priced at $225 which Expressions represent how much a shop received
Click here to see answer by Fombitz(32388)

Question 1072846: The half-�life of a radioactive substance is the time it takes for half of the atoms of the substance to disintegrate. All life on Earth contains Carbon�14, which decays continuously at a fixed rate. The half-�life of Carbon-14 is 5760 years. That is, every 5760 years half of a mass of Carbon-14 decays away. If a specimen that originally contained 150 milligrams of Carbon�14 now contains 130 milligrams, how old is the fossil?
Click here to see answer by Fombitz(32388)

Question 1072865: Dr. Wond can see 11 patients in 2 hours. At this rate, how long would it take her to see 44 patients.

Click here to see answer by Alan3354(69443)

Question 1072898: In a 100-yard race, athletes A, B, and C each run at a uniform pace throughout. If A beats B by 10 yards, by how many yards does A beat C?
Before you ask, this is all the information I have. Please explain. Thank you!
Click here to see answer by ikleyn(52765)

Question 1072958: Jon ran a round a track that was 1\8 of a mile long.He ran around the track 24 times.How many mile did Jon run?
Click here to see answer by Fombitz(32388)

Question 1073013: The Coffee Counter charges $7 per pound for Kenyan French Roast coffee and $6 per pound for Sumatran coffee. How much of each type should be used to make a 20 pound blend that sells for $6.60 per pound?
Click here to see answer by Fombitz(32388)

Question 1073015: Gina rented a moon-walk for 5 hours at a total cost of $210. Lori rented the same moon-walk for 3 hours at a total cost of $150. The cost of renting is based upon a flat set-up fee plus a rental rate per hour. How much is the set-up fee? What is the hourly rental fee?
Click here to see answer by Fombitz(32388)

Question 1073088: The sum of the digits of a two-digit number is 8. When the digits are reversed, the number increases by 36. Find the original number.
Click here to see answer by ikleyn(52765)

Question 1073096: One number is 4 less than a second number. Twice the second number is 16 less than 5 times the first. Find the two numbers.
the smaller number is?
the larger number is?
Click here to see answer by josgarithmetic(39615)

Question 1073137: It takes Elaine 14 min to type 3/4 of a page of her term paper. At this rate how long will it take to type a 15-page term paper?
Click here to see answer by Fombitz(32388)

Question 1073134: How many years will it take for an initial investment of $250,000 to grow to $800,000? Assume a rate of interest of 8% per year compounded continuously?

Click here to see answer by Fombitz(32388)

Question 1073213: Trade 1 dime for 10 pennies and write result
2 dimes 3 pennies = 1 dime pennies
4 dimes 6 pennies = 3 dimes pennies
3 dimes 1 penny = 2 dimes pennies
5 dimes 7 pennies = 4 dimes pennies
Click here to see answer by Alan3354(69443)

Question 1073269: you are cooking rice for p people.
each bag of rice serves three people.
and you need four extra bags for safe measure.
if you have 8 bags of rice what is the maximum amount of people you could serve for.
Click here to see answer by Theo(13342)

Question 1073311: Pual wants to build this model with clay but he does not know how much cubic centimeters of clay to purchase.How much clay should he purchase?

Click here to see answer by Fombitz(32388)

Question 1073365: Explain what a counterexample is.
Click here to see answer by Theo(13342)

Question 1073368: Some teachers from the university of Wisconsin mailed surveys to 1000 residents of a county in Wisconsin. Of those surveys, only 254 responded about a habit whose scientific name is rhinotillexomania, or its common name, nose- picking. The somewhat disturbing results are summarized below .
Frequency of picking Number of people
Never 22
Sometimes 110
Daily 64
2-5 times daily 55
Hourly 3
A. What is the probability that a random selected person from that county would pick their nose at least twice a day?
B. How accurate do you think these probabilities are in determining the habits of all Americans? Explain.

Hourly
Click here to see answer by jorel1380(3719)

Question 1073357: Mohit a dealer in electronic goods , buys a high class TV sets for rs. 61200. He sells this TV set to Geeta, Geeta to Rohan and Rohan sells it to Manoj. If the profit at each stage is rs. 2000 and the rate of VAT at each stage is 12.5% find
i) Total amount of tax(under VAT) paid to the govt.
ii) Money paid by manoj to buy the TV set.

Click here to see answer by jorel1380(3719)

Question 1073356: A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being rs .18000. The shopkeeper sells it to customer at a discount of 0% on the printed price . If the rate of VAT is 8% , find
i) VAT paid by the shopkeeper.
ii) The total amount that the customer pays for the washing machine.

Click here to see answer by jorel1380(3719)

Question 1073423: Hi
the sum of 4 and half of a number is less than 21. Find the largest possible integer which makes this statement true.
thanks
Click here to see answer by josgarithmetic(39615)

Question 1073430: a student's final marks in mathematics, physics, English and Geography are 70,65,80,85 respectively. if the respective credits received for these courses are 3,2,3 and 1.
a. Determine the mean mark of the student.
b.what is this type of mean called?
Click here to see answer by Theo(13342)

Question 1073433: A tree climber is 85 feet up in a tree, ground speed is 20-30 mph. What are the wind speeds where the tree climber is?
Click here to see answer by ikleyn(52765)

Question 1073461: Can you please help me solve this problem? In a country, deforestation occurs at the rate of about 4.1% per year. Assume that the amount of forest remaining is determined by the function , where Fo is the present acreage of forest land and t is the time in years from the present. In how many years will there be only 60% of the present acreage remaining? Hint: Find the amount of time it takes for Fo to become 0.06Fo. I'm not sure how to start this problem off.
Click here to see answer by math_helper(2461)

Question 1073498: Calculate pH
[OH−] = 1.3�10−7 M
Express your answer using two decimal places.
Click here to see answer by josgarithmetic(39615)

Question 1073526: I am attempting to go over my 13 yo grandson's math homework and my age has humbled me to ask for help from you. I would greatly appreciate your assistance due to the late hour, I apologize but I promised I would check his work and I am lost.
A loving Nana in NC
Determine whether the given value is a solution of the equation. YES OR NO(Example 1)
1. 23 = x - 9; x = 14
2. n __ 13 = 4; n = 52
3. 14 + x = 46; x = 32
4. 17y = 85; y = 5
5. 25 = k _ 5 ; k = 5
6. 2.5n = 45; n = 18
7. 21 = m + 9; m = 11
8. 21 - h = 15; h = 6
9. d - 4 = 19; d = 15
10. 5 + x = 47; x = 52
11. w - 9 = 0; w = 9
12. 5q = 31; q = 13
13. Each floor of a hotel has r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation,

Click here to see answer by ikleyn(52765)

Question 1073528: The management of Nicto Company plans to have an inventory at the end of each month equal to 20% of the next month's sales. Budgeted sales in units over the next three months are 80,000 in October, 120,000 in November, and 100,000 in December. Budgeted production for November would be:
Click here to see answer by Theo(13342)

Question 1073621: Alyssa can type 2/5 of a page in 1/10 minute. How many pages can she type per minute
Click here to see answer by ikleyn(52765)

Question 1073590: A block mass 0.5kg rest on the floor of a lift which is moving with an acceleration 2m/s� . calculate the reaction between the block and the lift.
Click here to see answer by ikleyn(52765)

Question 1073608: Brian drew a scale drawing of an apartment. In real life, the living room is 9 meters long. It is 3 millimeters long in the drawing. What scale factor does the drawing use?
Simplify your answer and write it as a ratio, using a colon.

Click here to see answer by josmiceli(19441)

Question 1073659: A campus coffee shop charges $1.30 for a cup of coffee and the tenth cup is free. If you take advantage of this offer. How much do you actually pay per cup of coffee on an average?
Click here to see answer by jorel1380(3719)

Question 1073662: Katrina just move into a new house and wants to brighten up the dining room wall by hanging 6 of her favorite decorative plates. Each plate is 8 inches in diameter and she wants to hang them in a straight line along her 104- inch wall. She also wants to keep the same amount of open space between each plate and between the plates and wall edges on each side. How wide should each space be?
Click here to see answer by jorel1380(3719)

Question 1073658: The function p(x)=14.7e^-0.21x models the average atmospheric pressure, P(x), in pounds per square inch, at an altitude of x miles above sea level.
The atmospheric pressure at the peak of Mt.Everest is 4.6 pounds per square inch. How many miles above sea level, to the nearest tenth of a mile, is the peak of Mt.Everest?
Click here to see answer by josgarithmetic(39615)

Question 1073713: 500 bottles of drug were packed equally in some containers. the number of bottles in each container was 5 less than the number of containers required. find the number of bottles in each container.
Click here to see answer by josmiceli(19441)

Question 1073712: when the children in a school were arranged for a mass drill in equal rows . there were 5 rows more than the children in each row. if the roll call that day was 750. find the number of rows formed.
Click here to see answer by KMST(5328)

Question 1073717: A tree climber is 85'up in a tree. Ground winds are 20-30 mph. What are the wind speeds where the tree climber is?
Click here to see answer by Fombitz(32388)

Question 1073723: what is The perimeter of a rectangular field is
342
yards. If the width of the field is
78
yards, what is its length?
Click here to see answer by ikleyn(52765)

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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, 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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, 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