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

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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(6550)

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(75887)

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(75887)

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(6294)

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(6550)

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)

Question 44451: for sets H and K, we define the inersection H intersect k by
H intersect k = {x|x in H and x in k}
show that if H <= G and k <= G, then H intersect K <= g. ( remember: <= denotes "is a sub group of," not "is a subgroup of.")
Click here to see answer by venugopalramana(3286)

Question 44788: Please help. Not sure what book this comes from.
Solve. W=Fg/a(h1-h0) for h0. Not sure how to indicate that the 1 and 0 are lower than the h. I'm not sure what to do with the Fg/a, but I came up with h1=h0/h0-1.
THank you!
Click here to see answer by stanbon(75887)

Question 44787: I need help with this question:
The expression Pi r^2 gives the area of a circle with radius r. How many square meters of wheat were destroyed when an alien ship made a crop circle of diameter 25 meters in the wheat field at the Southwest Ranch?
Click here to see answer by Nate(3500)

Question 44799: I'm having problems putting this into a formula because I feel that something is missing. Please help.
Lance bicycles 37 km/h with no wind. Against the wind he bikes 75 km in the same time it takes to bike 110 km with the wind. What is the speed of the wind?
Click here to see answer by josmiceli(19441)

Question 44865: Recently, the Texas Junior College Teachers Association annual conference was held in Austin. At that time a taxi ride in Austin was $1.25 for the first 1/5 of a mile and $0.25 for each additional 1/5 mile. If the distance from one of the convention hotels to the airport is 7.5 miles, how much will it cost to take a taxi from that hotel to the airport?
Click here to see answer by checkley71(8403)

Question 44881: 3333333334 squared equals a 20 digit number. What is the sum of the digits?
I have to find a pattern and answer the question.
I squared 4 which means 16 and then what do I do with the 9 3's
Click here to see answer by josmiceli(19441)

Question 44912: Use the sales decline function . If a=1, S=50,000, and t is time measured in years, find the number of years it will take for sales to fall to half the initial sales.
Click here to see answer by Chris435435(8)

Question 44981: this is a different one our instructor wrote for us. I have not a clue how to begin.
at these prices it is estimated that the number of customers is related to the amount of time they must wait as,
N = -5t(squared)+80t-280, where t is time in minutes. When there are 35 customers what is the estimated wait time?
Click here to see answer by tutorcecilia(2152)

Question 44980: this is a different one our instructor wrote for us. I have not a clue how to begin.
at these prices it is estimated that the number of customers is related to the amount of time they must wait as,
N = -5t(squared)+80t-280, where t is time in minutes. When there are 35 customers what is the estimated wait time?
Click here to see answer by Earlsdon(6294)

Question 44984: I have another word problem that I would like you to check.
a square piece of cardboard is formed into a box by cutting out 3 inch squares from each of the corners and folding up the sides.
if the volume of the box needs to be 867, what size square piece of cardboard is needed? I came up with a piece that is 20 x 20
867= (17)(17)(3) 20 x 20 - 3 inch corners =
17 x 17
would 20 x 20 be the correct answer?
Click here to see answer by checkley71(8403)

Question 45093: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number

Thank You!!!
Click here to see answer by stanbon(75887)

Question 45103: The Fenton College Cougars made 40 field goals in a recent basketball game, some 2-pointers and the rest 3-pointers. Altogether the 40 baskets counted for 89 points. How many of each type of field goal was made?
Click here to see answer by Nate(3500)

Question 45094: One number is 2 times another. If the sum of their reciprocal is 1/4, find the two numbers.

Thank You!!!!
Click here to see answer by stanbon(75887)

Question 45162: A coffee merchant has coffee beans that sell for $9 per poind and $12 per point. The two types are to be mixed to create 100lb of a mixture that will sell for $11.25 per pound.How much of each type of bean should be used in the mixture?
Click here to see answer by Earlsdon(6294)

Question 45167: In a town election, the winning candidate had 220 more votes than the loser.If 810 votes were cast in all,how many votes did each candidate reveieve?
Click here to see answer by aaaaaaaa(138)

Question 45360: Please solve the problem. Round your answers as needed.
The resistance, in Ohms, of a 25 foot piece of wire is given by the function , where d is the diameter of the wire in inches. What happens to the resistance of the wire as the diameter of the wire decreases?
Click here to see answer by stanbon(75887)

Question 45461: Please solve the problem.
The polynomial function gives the rate of gas leakage from a tank as pressure increases p units from its initial setting. Will an increase of 4 units result in a lower rate of leakage compared to the initial setting?
Click here to see answer by Nate(3500)

Question 45496: Help!
American Products plans to lay off 10% of it's employees in its aerospace division, and 15% of its employees in its agriculture division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
employees in these two divisions will be laid off
=12% of the 3000
=12% x 3000
=0.12 x 3000
=360
aerospace division
=10%x 360
=36
agriculture division
=15% x 360
=54
Click here to see answer by justin_lohok(3)

Question 45495: Help!
American Products plans to lay off 10% of it's employees in its aerospace division, and 15% of its employees in its agriculture division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
Click here to see answer by stanbon(75887)

Question 45617: True or False? Use examples.
(1) The graph of looks exactly like the graph of , but shifted up 1 unit.
(2) The graph of any equation in the form y = mx + b passes through the point (0,0).
(3) The ordered pair (3,4) satisfies the equation
(4) If (2,5) satisfies an equation, then (5,2) also satisfies the equation.

Click here to see answer by stanbon(75887)

Question 45616: True or False? Use examples and discuss.
(1) It is not possible to have a circle whose circumference is numerically equal to its area.
(2) When the measure of a given angle is added to three times the measure of its compliment, the sum equals the sum of the measures of the compliment and supplement of the angle.
(3) The compliment of an angle that measures less than 90 degrees is an angle that measures more than 90 degrees.
(4) Two complimentary angles cannot be equal in measure.

Click here to see answer by stanbon(75887)

Question 45623: I know this cannot be that difficult, but I can't figure out how to set it up!
If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What are the dimensions of the original square?

Click here to see answer by Nate(3500)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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