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

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Question 1179183: Find the volume flow rate dV/dt of blood owing in an artery as a function of the pressure P drop per unit length of artery, the radius r; the blood density D and the blood viscosity K

Click here to see answer by ikleyn(52748)

Question 1179185: Let R, S be rings and f:R to S be an epimorphism and R is Noetherian. Then show that S is Noetherian.
Thank you again!!!
Click here to see answer by ikleyn(52748)

Question 1179184: A raindrop falls from a motionless cloud. The thermal velocity v of the drop depends on its size, density, the gravitational constant, and the viscosity of air. Assume the drop is spherical with radius r, the density is D, and the viscosity of air is K ( which has units M/LT). How is the terminal velocity related to the other quantities
Thank you for you response!!!
Click here to see answer by ikleyn(52748)

Question 1179187: Let f: M to N be an R-module homomorphism and h: M to M/kerf be a natural homomorphism. Then prove that there exists a unique homomorphism g: M/kerf to N such that f=goh.
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Question 1179245: Prove that P is projective module if and only if P is isomorphic to a direct summand of a free R-module.
Thank you for your answer>
Click here to see answer by ikleyn(52748)

Question 1179243: A drug is administered to a patient every 4 hours. The patients metabolism causes the concentration of the drug in the patients blood to decrease by 75% between doses. The dose causes an instantaneous rise in blood concentration of 0.2 units. Then what will be the concentration of drug in the patients blood immediately after the nth dose

Thank you for your help!!
Click here to see answer by Theo(13342)

Question 1179288: A river is 1000 ft. wide and 10 ft. deep, and is running at 4 mph. Determine amount of time it will discharge a cubic mile of water into the ocean.
Cubic mile = 147197952000 cu. ft.
Unsure how to solve.
Click here to see answer by mananth(16946)

Question 1179274: (1) Let R, S be rings and f:R to S be an epimorphism and R is Noetherian. Then show that S is Noetherian.
(2) Suppose that a fish population follows the logistic population model, and the maximum carrying capacity of the habitat is 50,000 fish. The fish will be harvested by removing a fixed number H of fish in each time period. How should H be selected in order to maintain a stable supply of fish for the indefinite future
Pleases I need a help on this questions!!!Thank you !!!
Click here to see answer by ikleyn(52748)

Question 1179264: a restaurant offers four sizes of chicken nugget orders-5 piece, 9 piece, and 15 piece, and four types of sauce- Sweet N Sour (SS), Ketchup (K), Honey Mustard (HM), and BBQ (BBQ). Assuming a customer always orders a sauce, draw a tree diagram and use it to determine the number of possible chicken nugget orders
Click here to see answer by ikleyn(52748)

Question 1179436: A can do a piece of work in 60 days, which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. The work was finished in how many days?
Click here to see answer by ikleyn(52748)

Question 1179495: The number of coffee shops in a certain country can be modeled by the quadratic function f(x) 113^2+669+3371, where f(x) is the number of coffee shops and x is the number of years after 2000. Complete parts a and b.
a. Find the number of coffee shops in 2005
b. If the trend described by the model continues, predict the year after 2000 in which the number of coffee shops will be 23000.
Click here to see answer by josgarithmetic(39613)

Question 1179498: Emilia, Axel, and Matías sent a total of 82 text messages during the weekend. Emilia sent 6 fewer messages than Matías. Axel sent 2 times as many messages as Matías. How many messages did they each send?
Click here to see answer by josgarithmetic(39613)

Question 1179499: Regina, Gabriel, and Felipe sent a total of 103 text messages during the weekend. Regina sent 7 more messages than Felipe. Gabriel sent 4 times as many messages as Felipe. How many messages did they each send?
Click here to see answer by greenestamps(13195)

Question 1179541:
The sum of three numbers is 87 . The second number is 2 times the third. The first number is 9 less than the third. What are the numbers?
Click here to see answer by mananth(16946)

Question 1179543: Miranda, Ramiro, and Gabriel sent a total of 109 text messages during the weekend. Gabriel sent 2 times as many messages as Ramiro. Miranda sent 9 more messages than Ramiro. How many messages did they each send?
Click here to see answer by josgarithmetic(39613)

Question 1179542: Fabiana, Adrián, and Jesús have a total of $890 in their wallets. Fabiana has $70 less than Adrián. Jesús has 4 times what Adrián has. How much does each have?
Click here to see answer by josgarithmetic(39613)

Question 1179554: Suppose p varies directly with l and inversely with m. Write the equation to solve for k. If p =
30 when l = 2.5 and m = 6, what is the value of p when l = 4 and m = 7?
Click here to see answer by josgarithmetic(39613)

Question 1179553: A group of students decides to drive to college instead of flying. They leave from Miami, FL
and head north toward college in Boston, MA. If the students have 1496 miles to drive to reach
their destination and want to arrive in 24 hours, what rate of speed must they maintain in order to
arrive on time? How much faster can they arrive there if they travel only the major highways at
speeds of 65 mi/h? Is this a direct or inverse variation?
Click here to see answer by ikleyn(52748)

Question 1179569: Suppose p varies directly with i and inversely with m. Write the equation to solve for k. If p = 30 when i = 2.5 and m = 6, what is the value of p when i = 4 and m = 7?
Click here to see answer by MathLover1(20849)

Question 1179570: The pressure P of a perfect gas varies inversely to the volume V. The pressure of a gas in a 4-L container under specific conditions is 100 atm. What is the pressure of the gas in a 45-L container under the same conditions? Use the equation P=K/V
Click here to see answer by greenestamps(13195)

Question 1179590: Walter’s family has just arrived at Disney World’s Magic Kingdom! They all want to go on the Train, Splash Mountain, Pirates of the Caribbean, and It’s a Small World. How many combinations can they use to go on these four rides?
Click here to see answer by ikleyn(52748)

Question 1179589: A group of Indian Scouts went for a hike around Lake Hopowattamie. An hour into the hike, half of the hikers decided they were too tired to go on and turned around and went back to camp. Five hikers decided to go for a swim in the lake. Seven hikers got a ride back to camp in the ranger’s van. Nine hikers were left to finish the hike around the lake. How many campers were there in the beginning?
Click here to see answer by greenestamps(13195)

Question 1179631: Hi
The ratio between the speed of a train and a car is 18:3 respectively. Also a bus covered 480km in 12 hours. The speed of the bus is 5/9ths the speed of the train. How much distance will the car travel in 5 hours.
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1179693: Alex can clean the school office in 25 minutes. Luke can clean the same office in 35 minutes. How long will it take them if they work together?
Click here to see answer by josgarithmetic(39613)

Question 1179770: Find the distance between the point (3,5) and the line y= 3/2x + 5 given the slope of the line perpendicular to the given line is -2/3 and the equation of the line through (3,5) and perpendicular to y= 3/2x + 5 is y= -2/3 x -3
Click here to see answer by josgarithmetic(39613)

Question 1179646: Hi
In Bob's class the number of students with cavities is 6 more than the number without cavities. When 1/8 of the number of students with cavities was treated they totalled the same number as the students without cavities. How many students of the original group have cavities and do not have cavities respectively.
Thanks

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

Question 1179914: A medicine cured 72% of people who are sick. If 7 people are sick what is the probability that at least six of them will be cured by the medicine?
Click here to see answer by ikleyn(52748)

Question 1179840: For gym class, Mrs. Wilson was going to try something different. “Today, we are going to play fast and quick ping pong,” she told her class. She transformed the gym into ping pong land! There were 3 rows and 2 column of ping pong tables. She continued, “Each ping pong game will last 120 seconds, and you play against one other person. After the game, run to the chart over here to mark who won or if there was a tie. Then you need to go to another table to play someone else. You have 30 seconds to mark your score and find another player until the next “Rad,” interrupted Justin.
“One catch,” continued Mrs. Wilson. “You cannot play the same player twice. And you have to play everyone in the class.”
There were a total of 16 kids in the class. How long will it take for everyone to play everyone else exactly one game?
Click here to see answer by greenestamps(13195)

Question 1180007: A juggler threw an orange upward while standing on a platform 2.00 m above the floor with a velocity of 2.00 m/s. Neglect air resistance.
a. How high does the orange rise?
b. How long does it take for the juggler to catch the orange?
c. How fast was the orange moving just before the juggler caught it?
Click here to see answer by ikleyn(52748)

Question 1180006: A soccer ball was hit and moved upward at a 50.0° angle with an initial velocity of 40.0 m/s.
a. Find the length of time of flight.
b. What is the horizontal distance reached by the soccer ball?
c. What is the maximum vertical distance reached by the soccer ball?
Thanks.
Click here to see answer by ikleyn(52748)

Question 1180139:
Click here to see answer by josgarithmetic(39613)

Question 1180229: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $4600, which was to be divided equally among the members going. Prior to the trip, 5 members decided not to go. If the cost per person increased by $46, how many people went on the expedition?
Click here to see answer by mananth(16946)

Question 1180400: Eight years ago Charles was 1 year older than twice David’s age then. In eight years, Charles will be 7/6 as old as David will be then. What is David’s age now ?
Click here to see answer by josgarithmetic(39613)

Question 1180399: What is the probability that in two rolls of a single die, a man will roll a 2 on the first roll and a number greater than five on the second ?
Click here to see answer by ewatrrr(24785)

Question 1180285: If one earthquake is 20 times more intense than another, how much larger is it on the richter scale?
Click here to see answer by Boreal(15235)

Question 1180414: Boyle’s Lawstates that:
𝑃𝑉=𝐶
Where P and V are the pressure and volume of gas and C is a constant. Suppose that a gas is currently occupying 100cm^3 with a pressure of 270 kPa. If the volume is increasing at a rate of 5cm^3/s, how is the pressure changing?
Click here to see answer by ikleyn(52748)

Question 1180483: There are 150 members of the senior class. You survey 25 members of the class randomly and 22 say they are going to attend the dance. How many seniors are likely to be at the dance?
Click here to see answer by ikleyn(52748)

Question 1180484: There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row?
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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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