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

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Question 169741: Please help me solve this problem.

At 12:00 pm two flies are place in a room.
One minute later there are four flies, in another minuted- eight flies, in another minute-sixteen flies, etc.
At 1:00 pm the room is completely filled with flies. At what time was the room half filled? Please explain your answer.

Click here to see answer by edjones(8007)

Question 169614: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
Click here to see answer by solver91311(24713)

Question 169742: Please help me solve this problem.

What is the ratio (r) of this geometric progression?
3 square root of 3, 18, 36 square root of 3, 216, ...

r= __________________________________
Click here to see answer by Mathtut(3670)

Question 169620: CHARLES IS OFF EVERY 9TH DAY. EVA IS OFF EVER FIFTH DAY. THEY WANT TO HAVE A PARTY. IF CHARLES IS OFF ON SUNDAY AND EVA IS OFF ON MONDAY. WHAT IS THE NEXT DAY WHEN THEY WILL BOTH BE OFF?
Click here to see answer by Mathtut(3670)

Question 169784: If ine side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?
Click here to see answer by Electrified_Levi(103)

Question 169812: Of all theses sets which ones are proper subsets {}- {a} - {b} - {c} - {d} - {a,b} - {a,c} - {a,d} - {b,c} - {b,d} - {c,d} - {a,b,c} - {a,b,d} - {a,c,d} - {b,c,d} - {a,b,c,d} I know that the empty set is a proper subset and I think that the next 4 after that are as well but I am not sure about the other ones, any help would be appreciated.

Click here to see answer by stanbon(75887)

Question 169766: Two trains horizontal one eastbound, one westbound, leave a city at the same time. The speed of the westbound train is 20 miles per hour greater than the speed of the eastbound train. After 7 hours, the distance between the westbound train and the eastbound train is 770 miles. Find the speed of the two trains.
Click here to see answer by solver91311(24713)

Question 169828: Help please,
The speed of the current in a river is 2mph. Jay travels 20 miles upstream and then 20 miles downstream in a total time of hours. Find the speed of the boat.
Let s be the speed of the boat.
Thanks
Click here to see answer by checkley77(12844)

Question 169851: THe coins Phil has are worth $4.15. If they are just quarters and dimes, how many of each coin does he have?
Click here to see answer by Alan3354(69443)

Question 169851: THe coins Phil has are worth $4.15. If they are just quarters and dimes, how many of each coin does he have?
Click here to see answer by checkley77(12844)

Question 169851: THe coins Phil has are worth $4.15. If they are just quarters and dimes, how many of each coin does he have?
Click here to see answer by Edwin McCravy(20054)

Question 169864: Area of a sail. The area in square meters for a triangular sail is given by A(x) = x^2 + 5x + 6.
a) Find A(5).
b) If the height of the sail is x + 3 meters, then what is
the length of the base of the sail?
Can someone please help me with this problem. Thank you

Click here to see answer by stanbon(75887)

Question 169866: Demand for pools. Tropical Pools sells an aboveground model for p dollars each.
The monthly revenue for this model is given by the formula R(p) = -0.08p^2 -300p. Revenue is the product of the price p and the demand (quantity sold).
a) Factor out the price on the right-hand side of the formula.
b) Write a formula D(p) for the monthly demand.
c) Find D(3000).
I am not sure how to work this problem out. Can someone please help. Thank you
Click here to see answer by stanbon(75887)

Question 169865: Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) = s^3 -13s^2 +54s - 72.
a) Find V(10).
b) If the new width is s - 6 centimeters, then what are the new length and height?
c) Find the volume when s = 10 by multiplying the length, width, and height.

Can someone please help me with this problem. Thank you
Click here to see answer by Alan3354(69443)

Question 169867: Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula N(t) = -3t^3 + 23t^2 + 8t.
a) Rewrite the formula by factoring the right-hand side completely.
b) Use the factored version of the formula to find N(3).
Please help me figure out this problem I am so confused thank you.
Click here to see answer by stanbon(75887)

Question 169871: A MAS HAS 5 MORE ONE-DOLLAR BILLS THAN FIVE DOLLAR-BILLS, AND ONE MORE FIVE-DOLLAR BILL THAN TEN-DOLLAR BILLS. ALTOGETHER HE HAS $139 HOW MANY ONE-DOLLAR BILLS DOES HE HAVE?
I DONT THINK I AM SETTING UP THIS PROBLEM RIGHT.
THANKS
Click here to see answer by stanbon(75887)

Question 169872: COFFEE AT $3.75 PER POUND IS BLENDED WITH COFEE AT $4.25 A POUND. HOW MUCH OF EACH MUST BE USED TO MAKE 50 POUNDS OF A MIXTURE AT $3.95 A POUND?
I HAVE 3.75X+4.25X=197.50
THAN ADD MY TWO X'S 8.00X=197.5
DIVIDE EACH BY 8.00 AND I GET 24.69 THIS ISNT RIGHT HUH???
Click here to see answer by stanbon(75887)

Question 169511: A sample of helium gas has a volume of 4.00 L at a pressure of 0.180atm. What is its pressure if the volume is changed to 9.30 L while the temperature is held constant?
_____atm
Click here to see answer by chiefman(11)

Question 169508: A sample of methane gas has a volume of 465 mL at a temperature of 60.0�C. What is its volume at 125�C?
Click here to see answer by jojo14344(1513)

Question 169509: A sample of methane gas has a volume of 465 mL at a temperature of 60.0�C. What is its volume at 125�C? ____mL
Click here to see answer by jojo14344(1513)

Question 169512: 545 g of Ar gas are contained in a 13.3 L pressure vessel at at temperature of 90�C. What is the pressure exerted by the gas? (VII-1)
____atm
Click here to see answer by jojo14344(1513)

Question 169519: What is the pressure, in mm Hg, of 39.0 g of CO2 gas at 31�C, contained in a 350 mL vessel? (VII-1)
_____mm Hg
Click here to see answer by jojo14344(1513)

Question 169499: A pressure of 500 mm Hg = ___atm.

Click here to see answer by jojo14344(1513)

Question 169514: What volume would be occupied by 86.8 g of F2 gas at STP? (VII-1)
____L
Click here to see answer by jojo14344(1513)

Question 169906: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Rational Algebraic Expression
Simplify
x^4-2x^2y^2+y^4 over x^4-x^3y-xy^3+y^4
Click here to see answer by nerdybill(7384)

Question 169517: What is the volume, in liters, at STP occupied by 1.35 moles of each of the following gases?
(a) O3 ___L
(b) O2 ___L
(c) NO2 ___L
(d) C2H6 ___L

Click here to see answer by jojo14344(1513)

Question 169904: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Rational Algebraic Expression
Simplify
t^4-1 over t^3+t^2+t+1
Click here to see answer by Alan3354(69443)

Question 169901: I have been working on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Rational Algebraic Expression
Simplify
(1-r^3)(1-r)^-3
Click here to see answer by stanbon(75887)

Question 169899: cos^2-sin^2=2cos^2-1 prove that this is true
Click here to see answer by stanbon(75887)

Question 169507: 4g + 2d = 316
Click here to see answer by Alan3354(69443)

Question 169972: I am having difficulty solving the following problem. Can someone please assist me in doing so. Thanks!
One number is 6 less than another. The product of the number is 72. Find the numbers.
Click here to see answer by jim_thompson5910(35256)

Question 169521: A sample of cyclohexane gas occupies a volume of 250 mL at 75�C and a pressure of 1.40 atm. The mass of the gas is 1.030 g. What is the molar mass of cyclohexane? (VII-2)
_____g/mol
Click here to see answer by jojo14344(1513)

Question 169978: 22. verify the identity csc(-x)/sec(-x)=-cot x
Click here to see answer by jim_thompson5910(35256)

Question 169978: 22. verify the identity csc(-x)/sec(-x)=-cot x
Click here to see answer by jojo14344(1513)

Question 169985: 5.1.6. what are all of the trigonomic values given that cot=-3 and sin= square root 10/10
Click here to see answer by stanbon(75887)

Question 169971: A truck carrying 3600 cubic feet of cargo consisting of washing machines and refrigerators was hijacked. The washing machine are worth $300 each and are shipped in 36 cubic-foot cartons. The refrigerators are worth $900 each and are shipped in 45 cubic-foot cartons. If the total value of the cargo is $51,000, then how many of each were there on the truck?
Click here to see answer by stanbon(75887)

Question 170059: THE ELECTRIC CURRENT I, IN AMPERES, IN A CIRCUIT VARIES DIRECTLY AS THE VOLTAGE V. WHEN 12 VOLTS ARE APPLIED, THE CURRENT IS 4 AMPERES. WHAT IS THE CURRENT WHEN 18 VOLTS ARE APLLIED?
Click here to see answer by stanbon(75887)

Question 170101: can someone help me I'm 60 years old and I really don't understand this problem please please help. thank you
: Ratio and Proportion

A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.
Click here to see answer by Alan3354(69443)

Question 170108: Three men are attending a math conference together. To save money, they decide to share a room. Upon entering the hotel, the man behind the desk states that the room is $30. Each man reaches into his pocket and pays the man behind the counter $10. The men head up to their room.
An hour later the manager realizes that the man behind the front desk chargered the men too much. The room is at a reduced rate for all �conference go-ers�. Instead of $30, the room is actually $25. The manager hands the bellboy five one-dollar bills and tells him to return the $5 to the three men. Well, the bellboy was not an honest boy. He knew that the three men didn�t know that they were receiving money back, so he only returned $3 to the men and pocketed the other $2.
This means that instead of each paying $10, each of the three men paid $9. If you multiply $9 by three, you will get $27. If you add the $2 in the bellboy�s pocket, you get $29.
The men originally paid $30�where is the other dollar???

Click here to see answer by ptaylor(2198)

Question 170100: Can someone please help me . thank you very much
Ratio and Proportion
A lawyer bills her clients $200 per hour of service. If a client's case requires 39 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).

Click here to see answer by checkley77(12844)

Question 170197: Here's another one. I just can't figure these word problems out!
A man is carrying rice on a journey. He passes through three custom stations. At the first, he gives up 1/3 of his rice; at the second he is allowed to keep 1/3 of what is left; and at the third, he gives up 1/4 of what remains. At the end, he has 6 pounds less than what he started with. How much rice did he have when he started?
Click here to see answer by scott8148(6628)

Question 170205: Thanks so much for all the help!!! I have one last one that I think I have some clue about but not sure:
A man is carrying rice on a journey. He passes through three custom stations. At the first he gives up 1/3 of his rice; at the second he is allowed to keep 1/3 of what is left; at the third he gives up 1/4 of what remains. After passing through all three custom stations, he has 6 pounds less than he started with. How much rice did he have when he started?
Click here to see answer by scott8148(6628)

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