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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 42966: a real life situation where a straight-line graph might be applicable and explain please

Click here to see answer by Nate(3500)

Question 43041: An object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s= -16t^2+240t. For what values of t will the object be at least 416 feet above the ground? I think I have it as (2,5). thanks for any help.
Click here to see answer by Nate(3500)

Question 42977: Susan has 2500 feet of fence and wishes to enclose a rectangular area. Which of the following correctly expresses the area A of the rectangle as a function of the length x of the rectangle?
a. A(x) = 625x - x^2
b. A(x) = 1000x - x^2
c. A(x) = 1250x - x^2
d. A(x) = 2500x - x^2
e. None of the others

Click here to see answer by psbhowmick(529)

Question 43100: Solve the system by graphing.
3x - y = 1
3x - y = 2

I can't make this in to a graph.
Click here to see answer by ilana(307)

Question 43179: A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 11 ft to assure that the stunt is a success, what must be the length of the horizontal run?

Click here to see answer by Nate(3500)

Question 43199: Driving down a mountain, Tom fins that he has descrended 1800 feet in elevation by the time he is 3.25 mi horizontally away from the top of the mountain.Find the slope of his descrent to the nearest hundredth.
Click here to see answer by fractalier(2101)

Question 43264: The profit earned from manufacturing x widgets is .0001x3 - .21x2 + 135x - 2000 dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured.
How many widgets should be produced to earn the maximum profit?
a. 950
b. 17400
c. 500
d. 25500
e. None of the others
Click here to see answer by venugopalramana(3286)

Question 43201: The profit earned from manufacturing x widgets is .0001x3 - .21x2 + 135x - 2000 dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured.
How many widgets should be produced to earn the maximum profit?
a. 950
b. 17400
c. 500
d. 25500
e. None of the others
Click here to see answer by venugopalramana(3286)

Question 42973: Explain an advantage of rational exponents over the radical sign.
Click here to see answer by fractalier(2101)

Question 43337: Two classes, one with 50 students and the other with 30, take the same exam. The combined average of both classes is 84.5. If the larger class averages 80, what is the average of the smaller class?
Click here to see answer by checkley71(8403)

Question 43344: Raquietball. The volume of rubber(in cubic centimeters) in a hollow rubber ball used the racquetball is given by V = 4/3 pie R to the third power - 4/3 pie r to the third power. where the inside radius is r centimeters and the outside radius ir R centimeters.
a) Rewrite the formula by factoring the right-hand side compeletely.
b) The accompanying graph shows the relationship between r and V when R=3. Use the graph to estimate the value of r for which V=100 cm cubed.
Click here to see answer by stanbon(57203)

Question 43402: If there are 6 x 10^9 people on the Earth and there is enough freshwater to provide each person with 8.79 x 10^5 L, how much freshwater is on the Earth?
Click here to see answer by fractalier(2101)

Question 43436: This problem is really crazy. Here goes
In the alphabet of the primitive ABA tribe there are only two letters, A and B. Moreover many words have the same meaning. There are three rules which can be used to change words without altering their meaning:
a. three consecutive A letters (AAA) can be added or deleted
b. two consecutive B letters (BB) can be added or deleted
c. AAB can be replaced by BA and BA can be replaced by AAB
For example, BAAA and B have the same meaning. How many words with distinct meanings are there in the ABA language?
I would appreciate any help!
Click here to see answer by psbhowmick(529)

Question 43505: An object is projected upward from the top of a water tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level? I came out with 4 seconds after working it out. thanks for checking.
Click here to see answer by AnlytcPhil(1276)

Question 43546:

help.......Everybody got this wrong in our practice, including myself.. please help thank you soo much
Click here to see answer by Nate(3500)

Question 42888: Please I really need help. I don't know where to start
There are 2 bottles of water, k and l both contain some water. From K Sandy pours as much water into l as l already contains. Then from l she pours as much water into k as l presently has. Finally he pours from k to l as much water as l presently has. Each bottle now contains 24 ounces of water. How many ounces of water were in each bottle at the start
Click here to see answer by stanbon(57203)

Question 43636: A 12% discount on Walrus tent saved Melanie $75. What was the original price of the tent?
Click here to see answer by Nate(3500)

Question 43628: Angela nees 20 quarts of 50% antifreeze solution in her raidator. She plans ot obtain
this by mixing some pure antifreeze with an appropriate amount of 40% antifreeze solution.How
man quarts of each should she use?
100%Antifreeze(?Quarts) + 40% solution(?quarts)= 50%solution(20quarts)
Click here to see answer by venugopalramana(3286)

Question 43626: For the other side of the overpasss, the engineers have drawn the plands shown in the
figure. Find the degree measure of the angle maked z.
The following were given:
z-6
3x
z
Click here to see answer by Nate(3500)

Question 43624: Find four consecutive even intergers who sum is 194.
Click here to see answer by Nate(3500)

Question 43623: The saddle height on a bicycle should be 109% of the riders inside leg measurement L. Write an equation expressing the fact that the saddle height for Brenda is 36 in.
Click here to see answer by Nate(3500)

Question 43620: Freeport Mc MoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the
supply will be only 3/4 of world grain demand. What will world grain demand be in 2010?
Click here to see answer by checkley71(8403)

Question 43851: The first test in Introductory Algebra had a mean of 82 with a standard deviation of 15. If a student made a 94 on the test, what is the corresponding z-score?
a) -0.58 b) -0.47 c) 0.47 d) 0.80 e) NOT
Click here to see answer by fractalier(2101)

Question 43997: Inverse variations
The current I in an electrical conductor varies univesely as the resistance R of the conductor. If the currant is 1/2 ampere when the resistance is 230 omhs, what is the current when the resistance is 540 omhs?
please help set this up
Click here to see answer by adamchapman(301)

Question 44019: The amount of a radioactive tracer remaining after t days is given by A=Ao e^-0.18t, where Ao is the starting amount at the beginning of the time period. How much should be acquired now the have 40 grams remaining after 3 days?
A. 47.9 gm
B. 48.8 gm
C. 61.6 gm
D. 68.6 gm
Another brainbuster, any help out there?
Click here to see answer by stanbon(57203)

Question 44018: inverse diviation, joint and combined,
The current I in an electrical conductor varies inversely as the resistance R of the conductor. If the current is 1/2 ampere when the resistance is 240 omhs, what is the current when the resistance is 540 omhs?
please help set this up
Click here to see answer by stanbon(57203)

Question 44016: this problem is about inverse diviation, joint and combined
According to Fidelity Investments, the average weekly allowence A of children varies directly as their grade level ,G. In a recent year allowence of a 9th grade student was $9.96 per week. What was the average weekly allowence of a 4th grade student?
need help setting this up
Click here to see answer by Earlsdon(6287)

Question 44031: inverse variation, direct variation, joint and combined
the stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60mph can stop in 200ft , what stopping distance corresponds to a speed of 36mph?
Click here to see answer by Nate(3500)

Question 44029: inverse variation, direct variation, joint and combined
The intensity I of a television signal varies inversely as the square of the distance d from the transmitter. If the intensity is 25W/m^2 at a distance of 2km, what is the intensity 6.25km from the transmitter?
please help set this problem up
Click here to see answer by Nate(3500)

Question 44100: The width of a rectangular playground is 2x - 5 feet, and the length is 3x + 9 feet.Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.

Click here to see answer by adamchapman(301)

Question 44034: Columbian Earthquake of 1906 At 8.6 on the richter scale, the Colombian earthquake of January 31, 1906, was one of the strongest earthquakes on record. Use the formula log(I)-log(Io) to write I as a mulitple of Io for this earthquake.
Click here to see answer by fractalier(2101)

Question 44132: The period of a simple pendulum is directly proportional to the square root of its length, If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second peroid? Ok my answer is 3 feet but the question seems to have more to it I think. Thanks for checking this answer.
Click here to see answer by adamchapman(301)

Question 44236: The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches cost $48.00, how much will a 13 foot length with diameter 6 inches cost?
help set up
Click here to see answer by Nate(3500)

Question 44239: the distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 26-kg object stretches a spring 28cm, find the distance the spring is stretched when the weight is 21kg?
this problem is varies directly,
Click here to see answer by Nate(3500)

Question 44230: Allen bought 20 stamps at the post office in 37 cent and 20 cent denominations. If the total cost of the stamps was $7.06, how many 37 cent stamps did Allen buy?
Click here to see answer by Nate(3500)

Question 44261: Two numbers differ by 5. Their squares differ by 55. What are the two numbers?
Please show me how you get the answer 3 and 8. Thanks!!!
Click here to see answer by adamchapman(301)

Question 44378: let R* be the set of all real numbers except 0. define * on R* by letting a*b = |a|b.
a) show that * gives an associative binary operation on R*.
b)show that there is a left identity for * and a right inverse for each element in R*.
c)is R* with this binary operation a group?
d) explain the significance of this exercise.
Click here to see answer by venugopalramana(3286)

Question 44377: let s be the set of all real numbers except -1. define * on s by a*b=a+b+ab.
a)show that * gives a binary operation on s.
B)show that (s,*) is a group.
c) find the solution of the equation 2*x*3=7 in s.
Click here to see answer by venugopalramana(3286)

Question 44431: A roof rises 9.75 ft over a horizontal distance of 17.24 ft. What is the slope of the roof to the nearest hundredth?
A) 1.91 B) 1.77 C) 0.65 D) 0.57

Click here to see answer by tutorcecilia(2152)

Question 44468: One day, the temperature at 8:00 A.M. was 41°F, and by 1:00 P.M. the temperature was 61°F. What was the hourly rate of temperature change?
A) 6°F/h B) 3°F/h C) 4°F/h D) 5°F/h

Click here to see answer by Nate(3500)

Question 44495: The cost of producing a number of items x is given by C=mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). If the fixed cost is $40 and the variable cost is $10, write the cost equation.
Please Help I'm at a lost.
Click here to see answer by venugopalramana(3286)

Question 44485: Celsius temperature redings cn be coverted to Fahrenheit readings using the formula: F = 9C + 32. What is the Fahrenheit temperature that corresponds to
5
each of the following Celsius temperatures: -10, 0, 15, 100?
I tried working this, not sure if this is correct.
F = 9 -10 = 18 + 32 = 50 F=50
5 1
Click here to see answer by tutorcecilia(2152)

Question 44428: One day, the temperature at 8:00 A.M. was 41°F, and by 1:00 P.M. the temperature was 61°F. What was the hourly rate of temperature change?
A) 6°F/h B) 3°F/h C) 4°F/h D) 5°F/h

Click here to see answer by Nate(3500)

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