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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 256311: Cutting beams: A 30-foot steel beam is to be cut into two lower pieces. The longer piece is to be 2 feet more than 3 times as long as the shorter piece. Find the length of each piece.
Click here to see answer by rfer(12644)

Question 256366: If a < b, then | a - b | is equivalent to which of the following?
a) a+b b) -(a+b) c) √(a-b) d) a-b e) -(a-b)
Click here to see answer by jim_thompson5910(28476)

Question 256375: If the graphs of the equations 2y + x + 3 = 0 and ax + 3y + 2 = 0 intersect at
right angles in the plane, what is the numerical value of “a”?
Click here to see answer by Theo(3458)

Question 256376: Given that M, A, T, and H are positive integers where 9T = 2H, 5M = 3A, and
10H = 9A. Arrange M, A, T, and H in order from least to greatest.
Click here to see answer by Fombitz(13828)

Question 256391: The number n has 2002 digits, all of which are 2. What is the greatest common
divisor of n and 1111?
Click here to see answer by Edwin McCravy(8880)

Question 256389: When 270 is divided by the odd number n, the quotient is a positive prime number
and the remainder is zero. What is n?
Click here to see answer by solver91311(16868)

Question 256466: Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for one batch, how many onions will Lonnie need?
Click here to see answer by richwmiller(9135)

Question 256387: If x + y = 11 and y = 15/x, find the value of x^2 + y^2.
Click here to see answer by Edwin McCravy(8880)

Question 256387: If x + y = 11 and y = 15/x, find the value of x^2 + y^2.
Click here to see answer by jim_thompson5910(28476)

Question 256386: What is the value of the positive integer n for which the least common multiple of
36 and n is 500 greater than the greatest common divisor of 36 and n?
Click here to see answer by Edwin McCravy(8880)

Question 256570: The base of a triangle is 3 times the length of the altitude to that base. The area of the triangle is 96 cm^2. Find the length of the base.
Click here to see answer by unlockmath(1599)

Question 256668: If I have a data set and calculate the mean, then I have the same data set that has an outlier that is much greater than the rest of the data, is the mean with the outlier greater or less than the mean without the outlier? Explain.
Click here to see answer by stanbon(57219)

Question 256388: A girl goes up a ski lift at 4 mph, and comes down the ski slope at 24 mph. If the
ski slope is the same length as the ski lift, and you ignore any time spent at the
top, her average speed for the round trip, in miles per hour is a/b where a and b
are relatively prime. What is the value of (a+b)?
Click here to see answer by ankor@dixie-net.com(15624)

Question 256778: Vijay hits the golf ball further than Brad, but not as far as Mike. Tiger hits the
golf ball somewhat further than Mike, but not as far as John. Who is the third
longest hitter of the bunch?
Click here to see answer by Theo(3458)

Question 256779: If x + y = 5 and x^2 + 3xy + 2y^2 = 40, find the value of (2x + 4y).
Click here to see answer by Theo(3458)

Question 256788: If the reciprocal of (x + 1) is (x – 1), find all possible values of x.
Click here to see answer by palanisamy(496)

Question 256815: Determine the value of (x + y + z) if,
3x – 2y – 3z = -1
6x + y + 2z = 7
9x + 3y + 4z = 9
Click here to see answer by drk(1908)

Question 256815: Determine the value of (x + y + z) if,
3x – 2y – 3z = -1
6x + y + 2z = 7
9x + 3y + 4z = 9
Click here to see answer by stanbon(57219)

Question 256749: the drama club sold 1500 tickets for the end of the year performance. admission prices were $12 for adults and $6 for students. the total amount collected at the box office was $15,600. how many students attended the play?
Click here to see answer by Fombitz(13828)

Question 256914: It is known that the mass, m(t), of a radio-active substance decreases as it decays, and that the equation governing this is m'(t)=-.005m(t) where t is in years. What is the half-life?
any help would be great!!
Click here to see answer by Fombitz(13828)

Question 256930: How do I write this out into a problem and how would I solve it?
William is 1/6 as old as his father but he is five years older than his sister Mary. If the sum of all 3 ages is 51 how old is William?
Click here to see answer by Fombitz(13828)

Question 256916: The number of bacteria p in a pond after t hours is p(t). The more bacteria there are, the more rapidly the number increases. This is expressed by the equation p'(t)= 2p(t) . Find the most general exponential function of the form A*e^Kt which satisfies the equation. (A and K are constants. Hint: substitute this function into the equation and see what you get).
p(t)=
If there were 1500 bacteria at t=0, how many are there 2 hours later?
p(2)=

Click here to see answer by Fombitz(13828)

Question 256947: I am really not sure where to classify this problem.
1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
a) What does the number 3.03 represent? The cost of the gasoline per gallon.
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning.
Click here to see answer by drk(1908)

Question 256958: Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer.
Click here to see answer by stanbon(57219)

Question 256979: "If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?"
Click here to see answer by solver91311(16868)

Question 257017: When Mr. Kim returned from his fishing trip, his students inquired as to the length of his prize catch. Mr. Kim answered, "The head measures 9 inches. The tail was as long as the head and half the body. The body was as long as the head and tail." How long was Mr. Kim's prized fish?
Click here to see answer by richwmiller(9135)

Question 257044: i need help with this math word problem please.
At Monroe High the sophomore class has 60 more students then the freshman class. the junior class has 50 fewer students then twice the students in the freshman class. the senior class is three times as large as the freshman class. if there are a total of 1,424 students at monroe high,how many students are in the freshman class?
thank you
Click here to see answer by richwmiller(9135)

Question 257063: please and thank you how do you solve this problem
this is the problem:
At Monroe High the sophomore class has 60 more students then the freshman class. the junior class has 50 fewer students then twice the students in the freshman class. the senior class is three times as large as the freshman class. if there are a total of 1,424 students at monroe high,how many students are in the freshman class?
i know this is theway to solve but i have no idea how to get the answer
o=f+60
j=2f-50
e=3f
f+o+j+e=1424
Click here to see answer by solver91311(16868)

Question 257077: Find three consecutive even integers if the product of the second and third is eighty eight more than four times the first.
So I have (x+2)(x+4)= 4(x)+ 84. Then when I combine like terms I have x^2+2x-76. Is this correct? If so, how does it factor?
Click here to see answer by rajagopalan(158)

Question 257142: A roofer and assistant can repair a roof working together in 6 hours. Working alone the assistant can complete the repair in 14 hours. If the roofer and the assistant work together for 2 hours, and then the assistant is left alone to complete the job, how many more hours should the assistant need to finish the repairs?
Click here to see answer by ankor@dixie-net.com(15624)

Question 257167: Media services charges $40 for a phone and $20/month for its economy plan. The equation C= 20t + 40 describes the total cost, C, of operating a media service phone for t months. the total cost for 10 months of service is $____.
If a customer has only $90 available, how many months of service can she receive?
Click here to see answer by nanana(3)

Question 257145: this is the problem:
At Monroe High the sophomore class has 60 more students then the freshman class. the junior class has 50 fewer students then twice the students in the freshman class. the senior class is three times as large as the freshman class. if there are a total of 1,424 students at monroe high,how many students are in the freshman class?
i know this is theway to solve but i have no idea how to get the answer
f+(f+60)+(2f-50)+(3f)=1424
Click here to see answer by edjones(7569)

Question 257208: Working together, Kate and Jean can close the restaurant in 2/3 of an hour.
Working alone, Jean can do the job in 1 hour less time than Kate, when she works
alone. How long does it take Jean to do the job alone? Write your answer in
terms of hours.
Click here to see answer by Theo(3458)

Question 257218: Write the equation that expresses the relationship between the variables, then use the given data to find the constant of variation.
t varies directly as the cube of r and inversely as the square root of s, and t = 10 when r = 5 and s = 0.09.
Click here to see answer by drk(1908)

Question 257215: Polynomials - difference of two squares
The sum of the areas of two squares is 234 square inches. Each side of the larger square is five times the length of a side of the smaller square. Find the length of a side of each square.
Click here to see answer by ankor@dixie-net.com(15624)

Question 257164: Use multiplying by 1 to find an expression equivalant to 6/13 with a denominator of 104y.
The equivilant expression is:
do not simplify. Type a faction
Click here to see answer by Fombitz(13828)

Question 257163: Soybean meal is 18% protein and cornmeal is 9% protein. How many pounds of each mixture should be mixed together in order to get 360lb mixture that is 11% protein?
Click here to see answer by Fombitz(13828)

Question 257188: Evaluate: 2-(1-(2-(1-(2(1-2))))).
Click here to see answer by Fombitz(13828)

Question 257210: The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers?
Click here to see answer by Alan3354(30959)

Question 257255: 3yar-2ac+6acy
Click here to see answer by drk(1908)

Question 257255: 3yar-2ac+6acy
Click here to see answer by unlockmath(1599)

Question 257310: In how many ways can 5 people be chosen and arranged in a straight line, if there are 11 people from whom to choose?
Click here to see answer by richwmiller(9135)

Question 257292: Find the z-score for the given raw score, mean, and standard deviation. Assume a normal probability distribution.
Raw score = 15, μ = 60, and o=12
Click here to see answer by drk(1908)

Question 257288: Suppose you buy 1 ticket for $1 out of a lottery of 3000 tickets. If the prize for the one winning ticket is to be $500, what are your expected winnings?
Click here to see answer by drk(1908)

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