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

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Question 221270: At a gourmet nut shop, nuts are sold in bulk. Peanuts sell for $1.30 per pound and macademia nuts sell for $8.50 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds of peanuts and 1.5 pounds of macademia nuts. What will be the price per pound of the mixture?
Click here to see answer by checkley77(12569)

Question 221281: Find how many qrts of 6% butterfat milk and 2% butterfat milk should be mixed to yield 120 qrts of 5% butterfat milk
I think it is 90 of the 6% and 30 of the 2%
Is this correct
Click here to see answer by Alan3354(30959)

Question 221272: Paul and Andy share in the profits of a pet supplies store. If the total profit is $80,000 and p is the amount of profit Paul recieves, write an expression for the amount Andy recieves.
Click here to see answer by sofiyac(695)

Question 221405: There were 6 more women on a committee than men. If the committee was made up of 30 people, how many men were on the committee?
Click here to see answer by drj(1380)

Question 221397: Joseph mixes a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did he add? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.
Click here to see answer by josmiceli(9649)

Question 221589: A tree grows 1/2 inch per year. The tree is currently 50 feet tall; how long will it take to grow to 60 feet? Answers must be shown as a one variable algebraic equation with 'x' equaling the same value on each side of the equation. I believe the correct answer is 240 years, but I don't know how to show the work in the proper way.
Click here to see answer by stanbon(57222)

Question 221465: It takes a train 7 seconds to pass by a stationary observer and 26 seconds to travel the length of a station 380 meters long. What is the speed of the train and its length?

Click here to see answer by ankor@dixie-net.com(15624)

Question 221798: Please help me solve this problem...I dont know how to start solving this..
A 10-quart container is filled with water. One quart of water is drained out and replaced with alcohol. After mixing, a quart of the soluti0n is drained out and replaced with alcohol. This process continued until 5quarts of alcohol have been put into the container. The solution in the container is then what percent of alcohol?
Thank you in advance..
Click here to see answer by ankor@dixie-net.com(15624)

Question 221891: Write the following statement in symbols, letting y represent the number:
"Three times a certain number is less than the square of the number."
I need help with this problem. I obviously know that the first part is 3y (or ) but I dont know how to write out the rest of it. Please help.
Thank you
Click here to see answer by solver91311(16868)

Question 221894: Is 2.1 a rational number?_________
Why or why not?_________________________
I'm having trouble with this. I'm actually having trouble understanding what a rational number really is. I've read about it in my textbook over and over again but I'm just not getting it, so if someone could explain this it would really help.
Thank you
Click here to see answer by solver91311(16868)

Question 221990: A _____ circuit results when the connecting wires of an electric circuit accidentally touch each other or are joined by a stray conductor.
A. random, B. Hot, C. Live, d. Short
Click here to see answer by jim_thompson5910(28476)

Question 221991: When the voltage across a certain resistance is V, the power delivered is P. If the voltage is doubled to 2V, the power delivered becomes…
A. P, B. P/2, C. 2P, D. 4P
Click here to see answer by solver91311(16868)

Question 221975: a hospital needs 80 L of a 12% solution of disinfectant. how many liters of a 33% solution and a 5% solution should be mixed to obtain this 12% solution?
Click here to see answer by checkley77(12569)

Question 221966: an investment of $10,000 earned a net income of $345 in 1 year. part of the investment was in bonds and earned income at a rate of 8%. the rest of the investment was in stocks and lost money at the rate of 5%. how much was invested in bonds, and how much was invested in stocks?
Click here to see answer by checkley77(12569)

Question 221964: part of $12,000 investment earned interest at a rate of 7% and the rest earned interest at a rate of 9%. the combined interest earned at the end of 1 year was $890. how much was invested at each rate?
Click here to see answer by checkley77(12569)

Question 222023: I need some help in soving this problem..those who are kind-hearted, kindly help me.....thanks in advance..Here it goes....
A man buys a car priced at P330 000. He agrees to pay each month, beginning one month after the purchase date, P10 000 on the debt plus an interest charge of 1% of the debt outstanding during the month. Find the total amount of interest which the buyer will pay.
Thanks...i will be very glad to those who will respond.
Click here to see answer by rfer(12644)

Question 221986: a rescue helicopter is flying from an aircraft carrier 350 mi to peral harbor hospital. the point of no return is the point here it would take as much time to fly back to the aircraft carrier as it would to fly on to pearl harbor. the airspeed of the helicopter is 175 mi/h and it is flying into a 25 mi/h headwind.
a. calculate the total time for the helicopter to fly to pearl harbor
b. once the helicopter is at the point of no return, determine the time it will take to complete the trip.
c. use the results from part a and b to determine the time for the helicopter to reach the point of no return.
Click here to see answer by ankor@dixie-net.com(15624)

Question 222220: walt made an extra $8000 last year from a part time job. He invested part of his money at 6% and the rest at 9%. He maid a total of $570 how much was invested at 9%.
Click here to see answer by rfer(12644)

Question 221967: two trains depart from a station, traveling in opposite directions. the train that departs at 6:30 AM travels 15 km/h faster than the train that departs at 6 AM. At 7 AM they are 135 km apart. Determine the rate of each train.
Click here to see answer by ankor@dixie-net.com(15624)

Question 222432: 9
Click here to see answer by DAVONN(1)

Question 222437: A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540 If 80 tickets were sold find how many tickets of each type were sold.
Click here to see answer by solver91311(16868)

Question 222717: what % of 220 is 187
Click here to see answer by Alan3354(30959)

Question 222722: Jim's average score on three tests is 82. What is the least he can score on his fourth test so that his average will be at least 86?

Click here to see answer by ankor@dixie-net.com(15624)

Question 222907: the weight of meteorite A is 6 times the weight of meteorite B. If the sum of their weights are 154 then find the weight of both meteorites
Click here to see answer by rapaljer(4667)

Question 222916: the perimeter of a trangle is 136cm. if the three sides of the trangle are (x + 7)cm, (2x - 5)cm, and (3x + 2)cm, what is the lenght of each side?
Click here to see answer by solver91311(16868)

Question 222923: the length of a rectangle is 2 km less than 3 times the width. if the perimeter is 68 km, what is the length of the rectangle?
Click here to see answer by drj(1380)

Question 222921: the length of a rectangle is 8 m more than 6 times the width. the perimeter is 156 m. find the width.
Click here to see answer by drj(1380)

Question 222920: the length of a rectangle is 5cm more than the width. the perimeter is 38cm. find the length and the width.
Click here to see answer by drj(1380)

Question 222953: At Euclid High School, the number of students taking the AMC10 was 60 in
2002, 66 in 2003, 70 in 2004, 76 in 2005, and 78 in 2006, and is 85 in 2007.
Between what two consecutive years was there the largest percentage increase?
(A) 2002 and 2003 (B) 2003 and 2004 (C) 2004 and 2005 (D) 2005 and 2006
(E) 2006 and 2007
Click here to see answer by Theo(3458)

Question 223010: A total of $10,000 is deposited in two accounts. On one account the annual simple interest rate is 9.5%, on the other the annual simple interest is 13%. How much is invested in each account if the total annual interest earned is $1090.00
Click here to see answer by rfer(12644)

Question 222772: the sum of an unknown number and 12 is subtracted from 4 times the unknown number, the result is the unknown number less 4
Click here to see answer by ankor@dixie-net.com(15624)

Question 223246: A car trip from NY to Cincinatti took 12.5 hours. The return trip by the same route took 1 h longer because the average speed was 4 mi/h less. What is the length of the route?
I tried:
rXt=d
r 12.5= r(12.5)
r-4(13.5)
I am stuck! Not sure what to do next.
Thanks!
Click here to see answer by solver91311(16868)

Question 223264: how many liters of 24% salt solution must be added to 76 liters of 64% salt solution to get a 43% salt solution?
how do you do this kind of problem???
Click here to see answer by Alan3354(30959)

Question 223377: the number of people who ate apples was 6 times the number of people who ate carrots.If the total number of apples and carrots eaten was 763,000. how many apples were eaten and how many carrots were eaten?
Click here to see answer by rfer(12644)

Question 223439: The function H(x)=2.75x + 71.48 can be used to predict the height in centimeters, of a women whose humerus(the bone from elbow to the shoulder) is x centimeters long. Predict the height of a women whose humerous is 39 centimeters long.
Click here to see answer by rfer(12644)

Question 224063: Variables on both sides.
Population of 2 towns... one town population of 25,500 increases by 2000 per yr. one town population of 47,900 decreases by 800 per year.
If the rate remains the same in what year will both populations be the same.
i need the verbal sentence as an equation and then solve (or I can). I am not sure if my equation is correct. I think the answer is 8 years. thank for your help.
25,500+(nx2000)=47,900-(nx800)
Click here to see answer by stanbon(57222)

Question 223989: How many 1-cup servings are there in 3 1/2 quarts of soup?
Click here to see answer by rfer(12644)

Question 224162: At constant volume, as temperature increases, pressure increases due to a slower average speed of the gas molecules
A. True, B. False
Click here to see answer by Alan3354(30959)

Question 224165: A completely sealed container contains an essentially ideal gas such as methane. Its initial temperature is 27 degrees celsius (°C). Its initial pressure is 1.0 atm (atmospheres). You heat it to 177°C. What is its pressure at that temperature?
A. 1atm, B. 0.5atm, C. 1.5atm, D. 2.0atm, E. 6.7atm
Click here to see answer by Alan3354(30959)

Question 224170: Jim has a part time job selling newspapers and magazine subscriptions. One week he earns $31.10 by selling 5 newspapers and 3 magazine subscriptions. The following week he earns $19.75 by selling 3 newspapers and 2 magazine subscriptions. How much does he earn for each newspaper and each magazine subscription?
Click here to see answer by checkley77(12569)

Question 224163: The graph of pressure of any gas against temperature should be a straight line over all temperatures.
A. True, B. False
Click here to see answer by Alan3354(30959)

Question 224311: The average distance from Earth to the sun is 9.3 X 10^7 miles. How long would it take a rocket, traveling at 2.9 X 10^3 miles per hour, to reach the sun?
Click here to see answer by Alan3354(30959)

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