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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 130893:
if a = 1/2 bh, what is a when b=6a3c2 and h=5a4b
Click here to see answer by checkley71(8403)

Question 130956: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!!
Power of Monomials
find and simplify (a) the sum and (b) the product of the given monomials
(2x)^3(xy)^2,(2xy)^2(-x)^3

Click here to see answer by checkley71(8403)

Question 130017: Write the ratio of 10 1/2 to 25 1/5 as a fraction in simplified form.
Click here to see answer by cngriffith(27)

Question 130928: A car and a train leave station A at the same time for station B, 300 miles away. If the speed of the car averages twice the speed of the train and the car arrives 7.5 hours before the train, find the speed of the car and the speed of the train in miles per hour.

Click here to see answer by TakeATuition.com(57)

Question 130886: You have a necklace and matching bracelet with 2 types of beads. There are 30 small beads and 6 large beads on the necklace. The bracelet has 10 small beads and 2 large beads. The necklace weighs 3.6 grams and the bracelet weighs 1.2 grams. If the chain has no significant weight, can you find the weight of one large bead? Explain.
Click here to see answer by edjones(8007)

Question 130987: The distance that a spring will stretch varies directly as the force applied to the spring. A force of 70 pounds is needed to stretch a spring 7 inches. What force is required to stretch the spring 11 inches?
A ____ lb force is required to stretch the spring 11 inches?
Click here to see answer by checkley71(8403)

Question 130891: Two pieces of rope that are equal in length. The first piece is 4 times the length of a piece of wood minus 1 inch. The second piece is 3 times the length of the same piece of wood plus 14. solve and draw a graph. x as the variable for the piece of wood.
I know that 4x-1 and 3x+14 but not sure how to write it out correctly. Thank you for your help.
Click here to see answer by ptaylor(2198)

Question 131122: The product of a number and the square of another number is 32. If x is the number that is squared, write the sum S of the two numbers as a function of the number x.
S(x)=
Click here to see answer by ptaylor(2198)

Question 131176: Could someone please help me with this problem thanks.
A set of weights for a balance scale us made of a one pond weight, a two pound weight, a four pound weight and a five pound weight. Using any combination of these weights, how many different quantities can be measured?
Click here to see answer by edjones(8007)

Question 131177: Thanks in advance for your help.
In how many different ways can three students be seated in a row of 5 desks?
Click here to see answer by edjones(8007)

Question 131174: Thanks for any help you can give me.
The digits 1, 2, and 5 can be scrambled to form three digit numbers. How many of these are prime numbers?
Click here to see answer by edjones(8007)

Question 131212: Problem "Together, you and a friend can landscape a property in 6hours. Your friend takes 3 times as long to landscape the property alone as you take to do it alone. How long would it take you to do it alone? How long would your friend take to landscape the property alone?"
I tried to solve it by formula (work rate x time= work done):
I came out with me as .75per hour and friend .25per hour
Is it right? If not, how would you solve it?
Click here to see answer by checkley71(8403)

Question 131283: Please help, it asks: (x) varies directly as the square of (s) and inversely as (t). How does (x) change when (s) is doubled? when both (s) and (t) are doubled?
I am so confused. please help!!!
Click here to see answer by josmiceli(19441)

Question 131417: A board measuring 120 inches long needs to be cut into two pieces so that one piece will be four times longer than the other. Find the lengths of the two pieces.
This is what I done so far I found the length of one piece.
x+4=120
5x=120
x=24
Now I just need to find out how to solve for the other length
Click here to see answer by Earlsdon(6294)

Question 131418: Hello I submitted this problem earlier but, I put the wrong e-mail. Could I please have some help. Thanks. Martin has a 3 bulb camping light that holds 4 batteries. When only one bulb is burning the batteries last 6hrs. When 2 bulbs are burning the batteries last 3 hours. How long will they last with all 3 burning.
Click here to see answer by josmiceli(19441)

Question 131422: Hello I submitted this problem earlier but, forgot the 2 in my email. Could I still have help in solving it. Thank you. Sam takes 4 days to brick a home. He estimates his trainee takes 6 days. If they work together how much time would it take to brick a home?
Click here to see answer by josmiceli(19441)

Question 131411: I submitted a few problems a little while ago and realized I didn't submit my email right. I left out the 2. Can I still have help solving the problems? Thank you.
Click here to see answer by TakeATuition.com(57)

Question 131398: I have been unable to come up with an equation to solve this problem. Could I get some help with figuring it out. I appreciate it. A father and son are digging a garden that is 7 feet long and 5 feet wide. The father, working alone takes 3 hrs. The son working alone takes 4 hrs. If they work together how long would it take?
Click here to see answer by edjones(8007)

Question 131478: It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current.
Click here to see answer by stanbon(75887)

Question 131495: If 3 cats catch 3 rats in 3 minutes, how many cats will catch 100 rats in 100 minutes?
Click here to see answer by solver91311(24713)

Question 131506: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x)=19x-x^2. What rainfall produces the maximum number of mosquitoes? Hint: Find the maximum of the parabola.
Click here to see answer by AdolphousC(70)

Question 131503: You are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x = 1 is the day tickets go on sale).
Tickets = -0.2x^2 + 12x + 11
a. Does the graph of this equation open up or down? How was this determined?
b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
d. Will ticket peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does the number related to your answers in parts e and f?
h. How many solutions are there to the equation -0.2x^2 + 12x + 11 = 0? How do you know?
i. what do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
I know there are a lot of portions to this question. I am having difficulty even setting up the problems to even get the solutions.
Any help someone would be willing to provide would be appreciated.
Click here to see answer by Edwin McCravy(20054)

Question 131525: Hello the chapter im working on is called exponential and logarithmic functions. The section is on exploring exponential models. Could you help me with this exponential growth word problem on bacteria?
Here it is:
A scientist notes the bacteria count in a petrie dish is 50. Two hours later, he notes the count has increased to 80. If this rate of growth continues, how much more time will it take for the bacteria count to reach 100?
THanks for the help and time
Click here to see answer by Edwin McCravy(20054)

Question 131528: Anne has two solutions, one with 6% iron and one with 2% iron. How many liters of each solution should be mixed to create 16 liters of a solution with 3% iron content?
Click here to see answer by checkley71(8403)

Question 131477: Anne has two solutions, one with 6% iron and one with 2% iron. How many liters of each solution should be mixed to create 16 Liters of a solution with 3% iron content?
Click here to see answer by checkley71(8403)

Question 131555: Hi the chapter im on is called Exponential and Logarithmic functions. I had a question on a word problem from it.
Here it is:
The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d=10log(E base 0/E base 1), where d is the decibel voltage, E base 0 is the output voltage, and E base 1 is the input voltage to find the decibel voltage.
Okay this question makes no sense to me so if someone can figure it out.. Thank u!
Click here to see answer by stanbon(75887)

Question 131601: in three or more sentences how would i describe how you identify whether or not a polynomial is a perfect square trinomial.
Click here to see answer by solver91311(24713)

Question 131344: A rectangle swimming pool is 15 meters long and 8 meters wide. A fence is built around the pool. It is 4 meters from each side of the pool. How long is the entire fence?
Click here to see answer by solver91311(24713)

Question 131640: Please help me solve this word problem:
The length of a rectangular flower bed is 3 feet less than twice its width. The area of the bed is 54 sq. ft. Find the dimensions of the flower bed.
Click here to see answer by 067isa(13)

Question 131652: Solve the formula for the given variable
W=p(V2-V1) for V2
*The 2 and 1 after the all of the V's are the opposite of V^2 or V^1, they are below instead of above.
Thanks
Click here to see answer by stanbon(75887)

Question 131658: Anton Smith is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 4 meters, the new total area of the gardn will be 100 square meters. Find the length of each side of the original garden.
Click here to see answer by solver91311(24713)

Question 131693: Hi could you help me figure out this word problem?
The electric current I in amperes of a circuit is given by the formula log base 2 of I=-t. Find the current when t is 3s.
Thanks for the help
Click here to see answer by stanbon(75887)

Question 131736: Can someone please help me with this. I am asked to write a quadractic equation having the given numbers as solutions. -6 and -3. I am not even sure where to start here. Thank you in advance.
Click here to see answer by josmiceli(19441)

Question 131749: Please help me solve this word problem:
Chip and Layla found a hole in the fence and decided to make a run for it at the same time. Chip headed north trotting at x miles per hour. Layla ran east, running 2 miles an hour faster than Chip. In 2 hours, they were 20 miles apart (as the crow flies- think hypotenuse). How fast was each dog going?
Click here to see answer by solver91311(24713)

Question 131746: Please help me solve this word problem:
A carpenter needs to cut a brace to support a vertical wall stud. The brace should be 7 feet less than 3 times the length of the stud. If the brace will be anchored on the floor 15 feet away from the stud, how long should the brace be? (Hint: the brace is the hypotenuse.)
Click here to see answer by checkley71(8403)

Question 131745: Please help me solve this word problem:
A carpenter needs to cut a brace to support a vertical wall stud. The brace should be 7 feet less than 3 times the length of the stud. If the brace will be anchored on the floor 15 feet away from the stud, how long should the brace be? (Hint: the brace is the hypotenuse.)
Click here to see answer by checkley71(8403)

Question 131734:
a farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. what is the maximum area that the farmer can enclose with 100ft of fence? what should the dimensions of the garden be to give this area?

Click here to see answer by checkley71(8403)

Question 131825: The problem reads:
A rectangle is 5 feet longer than it is wide. The perimeter of the rectangle is 34 feet. What is the length of the rectangle?

any help would be appreiciated
Click here to see answer by ntnk(54)

Question 131827: The problem reads:
The surface area of a sphere is given by S=4(pi)r^2, where r is the radius and (pi) is 3.14. Find the radius of a sphere whose surface area is 748 square centimeters.

I do not know how to work this problem, because I am used to finding the surface area.
Click here to see answer by solver91311(24713)

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