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

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Question 184761: A tugboat can pull a barge 60 miles upstream in 15 hours. the same tugboat and barge can make the return trip downstream in 6 hours. Find the speed of the current in the river
Click here to see answer by stanbon(57377)

Question 184791: An aptitude test has a mean of 220 and standard deviation of 10. find the corresponding z score for: a) a test score of 232 b) a test score of 212
Help please?????
Click here to see answer by Edwin McCravy(8909)

Question 184848: Please help me with the following questions.I dont understand what Im doing.
In a survey of 75 consumers, 12 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 24 said they were going to buy a new washer. Of these, 6 were going to buy both a car and a refrigerator, 4 were going to buy a car and a washer, and 10 were going to buy a washer and a refrigerator. One person indicated that she was going to buy all three items.
Construct a Venn diagram, label your diagram clearly. Use your diagram to answer the following questions:
(a) How many were going to buy only a car?
(b) How many were going to buy only a washer?
(c) How many were going to buy only a refrigerator
(d) How many were going to buy a car and a washer but not a refrigerator?
(e) How many were going to buy none of these items?
Please help me
Click here to see answer by josmiceli(9691)

Question 184882: A stamp collection of 109 stamps has a total value of $23.47. The collections consists of 5cent stamps, 11cent stamps, and 25cent stamps. The number of 25cent stamps is five time the numberof 11cent stamps. Find the number of 5cent stamps in the collection.
Click here to see answer by josmiceli(9691)

Question 184933: Frankie and Johnny begin reading a novel at the same time. Frankie reads 8 pages a day and Johnny 5 pages a day. If Frankie is on page 72, what page is Johnny on?
Click here to see answer by checkley77(12569)

Question 184833: Coffee that sells for $3.40 per pound is mixed with coffee that sells for $4.50 per pound in order to create 6 pounds of a blend that sells for $4.06 per pound. How much of each was used to create the new mixture?
Click here to see answer by ankor@dixie-net.com(15657)

Question 185099: Divide $6.00 among 3 students so that when Amy gets 3 cents, Bono gets 5 cents, and Teri gets 7 cents. how much does each receive?
Click here to see answer by stanbon(57377)

Question 185086: a gardener has 120 ft of deer resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area enclosed to be at least 800 ft² what range of values is possible for the length of her garden?
please help.
Click here to see answer by edjones(7569)

Question 185170: Three chickens were weighed in pairs; the fist pair weighed in at 10.6 kg, the second pair weighed in at 8.5 kg, and the third pair weighed in at 6.1kg. How much would the scale read if all three chickens were weighed at the same time? How many kilograms does each chicken weigh?
Click here to see answer by ankor@dixie-net.com(15657)

Question 185270: Helen earned $400 in January, $450 in February, and $350 in March. To pay all of her bills, she must average at least 430 per month. For waht income in April would her average for the 4 months be at least $430?
I have not taken a math class in over 20 years Thanks for the help I don't even know where to begin
Click here to see answer by jojo14344(1512)

Question 185216: A new car worth $ 24,000 is depreciating in value by $ 3000 per year. Write a formular that models the car's value, y, in dollars, after x year.
Click here to see answer by jojo14344(1512)

Question 185168: Given A = {1, 2, 3}, B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C

Click here to see answer by feliz1965(151)

Question 185392: A wine merechant buys 50 cases of wine. He pays full price for half of them but gets a 40% discount on the remainder. If he paid a total of $2260, how much was the full price of a single case?
Click here to see answer by vleith(2825)

Question 185582: The mass of a molecule of a certain chemical compound is 2.45*10 to the power of -22 g. If each molecule is made up of two carbon atoms and six oxygen atoms and the mass of one oxygen atom is 1/3 that of a carbon atom, find the mass of an oxygen atom.
The answer is 2.04 * 10 to the power of -23 g. I do not understand this in terms of showing working.
Click here to see answer by edjones(7569)

Question 185618: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 100 MPH and train B is traveling at 104 MPH. Train A passes a station at 9:20P.M. If train B passes the station at 9:50P.M. at what time will train B catch up to train A.
Click here to see answer by Alan3354(30993)

Question 185685: A manager gives a store evaluation form to each customer. Customers who mail in their complete forms receive a coupon. Identify the type of sample and determine whether it is biased. Explain your answer.
I'm thinking this is a Self-selected sample. Am I correct? I'm not sure if it is biased or not. Maybe it's biased because only those customers mailing in the completed forms get a coupon. Any thoughts on this?
Click here to see answer by stanbon(57377)

Question 185773: Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
Budget is $118,250
Click here to see answer by checkley77(12569)

Question 185867: FACTORIAL PROBLEM: A family wants to have 6 children. How many ways are there to have at least 2 boys?
Click here to see answer by feliz1965(151)

Question 185988: The local newspaper wants to predict the outcome of the city’s mayoral election. What is a simpler strategy than asking every voter how he or she will vote ?
Click here to see answer by Mathtut(3670)

Question 185917: A small bag of Skittles candies has the following assortment: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
Kind of confused on this one??? Can you help me??
Click here to see answer by Mathtut(3670)

Question 184781: Shampoo is on sale. The sign reads, "Buy one, buy the second at half price." What is the total discount on the purchase of two bottles of shampoo?
Click here to see answer by swiemers(10)

Question 186070: Pietro's Pizza and Sandwiches delivered lots of sandwiches one rainy Saturday. They took orders for 30 sandwiches with cheese, 25 with tomatoes, and 18 with pepperoni. there were 18 with cheese and tomato, 14 with tomato and pepperoni, and 10 with all three toppings. there were 8 with only cheese. how many sandwiches did they deliver?
i have worked with the numbers and the pizzas don't add up. i don't know if it is extra info.
Click here to see answer by josmiceli(9691)

Question 186143: Joe can eat an Uranian sandwich in 25 minutes. Working together, Joe and Mark can eat the sandwich in 50/7 minutes. How many minutes would it take Mark to eat the sandwich by himself?
Click here to see answer by edjones(7569)

Question 186178: if x represents the first of three consecutive integers express the sum of the three integers in terms of x
Click here to see answer by checkley77(12569)

Question 186238: One leg of a right triangle is 14 meters longers than the other leg. The hypotenuse is 26 meters long. Find the length of each leg.
Click here to see answer by checkley77(12569)

Question 186234: Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 12 feet. Also, the length of the ladder is 4 feet more than its distance from the base of the building.
Click here to see answer by checkley77(12569)

Question 186239: A 4m by 6m rug covers half the floor area of a room and leaves a uniform strip of base floor around the edges. What are the dimensions of the room?
Click here to see answer by checkley77(12569)

Question 186321: A. The function H is described by H(x)=2.75+71.48 can be used to predict the height in cenimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Predict the height of a woman whose humerus is 38 cm long.

Click here to see answer by nerdybill(6962)

Question 186330: Trains A&B are traveling in the same direction on parallel tracks. Train A is traveling 80mph;Train B100mph.?
Train A passes a station at 12:15 p.m.. If Train B passes the same station at 12:27 p.m., at what time will train B catch up to train A?

Click here to see answer by Alan3354(30993)

Question 186378: nine is one more than the product of two and a number
Click here to see answer by checkley77(12569)

Question 186375: A Sales Manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid everyday, how long will the gross last?
Click here to see answer by checkley77(12569)

Question 186372: One train leaves a station heading west. Two hours later a second train leaves the same station heading east. The second train is traveling 15 mi/h fast than the first. Six hours after the second train leaves, the two trains are 580 miles apart. Find the rate of which each train is traveling
Click here to see answer by checkley77(12569)

Question 186249: 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 are 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(15657)

Question 186326: on three consecutive passes a football team gains5 yards, loses 37 yards, and gains 28 yards. What number represents the total number of yardage?
Click here to see answer by checkley77(12569)

Question 186453: Anna woke up from a nap at 4:15. She slept for 2 and a half hours. At what time did Anna begin her nap?
Click here to see answer by checkley77(12569)

Question 186590: I do not understand how to do this problem could someone please help me?
The equation y= -1777x+27,153 can be used to predict the number y of gun deaths in the united states x years after 2000, that is x=0 corresponds to 2000, x=2 corresponds to 2002, x=5 corresponds to 2005, and so on. Predict the number of gun deaths in 2005 and 2008. In what year will the number of gun deaths be 11,160?
-Predicted gun deaths in 2005 will be?
-Predicted gun deaths in 2008?
-Predicted gun deaths will be 11,160 in the year?

Click here to see answer by nerdybill(6962)

Question 186454: how wide a uniform border should be left on a plot of land 7m by 11m to have a rectangular area of 45m^2 available for flowers?
Thank you!
Click here to see answer by ankor@dixie-net.com(15657)

Question 186449: the equation y=-1777x+27,153 can be used to predict the nimber y of gun deaths in the united states x years after 2000, that is x = 0 corresponds to 2000, x=2 corresponds to 2002, x=5, and so on,
Predict the number of gun deaths in 2005
Predict the number of gun deaths in 2008.
in what year will the number of gun deaths be 11,160 ?
Click here to see answer by feliz1965(151)

Question 186660: if sally can paint a house in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
Click here to see answer by nerdybill(6962)

Question 186708: The management of White Industries is considering a new method assembling its golf cart. The current method takes 42.3 minutes on an avearge to assmble the cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude the assembly time using the new method is faster?

Here is an attempted shot at the question.....

A T-Test also One Paired Test
I: Ho: M< or eqaul to 42.3
Hi: M> 42.3
II. .10 with critical value of 1.319
III. t= negative 3.09
IV. Reject Ho if t<1.319
X= 40.6
M= 42.3
S= 2.7
N= 24
V. Reject Ho and conclude that the new method is faster.
Click here to see answer by stanbon(57377)

Question 186732: three bells ring at intervals of 7,10,14 minutes respectively.they begin by ringing together. after how long will they ring together again?
Click here to see answer by Earlsdon(6287)

Question 186771: Find the derivative of :
1) y=(x-1)^3 (x^2-2)^2
2) R=(3/T^2)-8T^1/4
Click here to see answer by user_dude2008(1861)

Question 186770: Find the derivative of :
1) y=(2x-1)/(x^2+1)
2) F(Q)=70/(3Q+1)^3
3) y= (sqrt4x+3)/ 2x

Click here to see answer by user_dude2008(1861)

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