Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 151014: Andre,Kamwi and werner are truck drivers. The three men share the driving of one truck for a total distance of 2400km.
Andre drove 1/8th of the distance. what distance in kilometres did andre drive?
kamwi drove 1000 kilometres. What percentage of the total distance did Kamwe drive?
If a driver is paid N$2.50 per kilometre driven, how much was Werner paid?
Click here to see answer by jojo14344(1513)  |
Question 151214: find angle A of the oblique triangle with sides a=13, b=14, and c=15: find angle A of the oblique triangle with sides a=13, b=14, and c=15
Answer by mducky2(13) (Show Source):
You can put this solution on YOUR website!
If you need to find an angle when three sides of an oblique triangle are known, use the law of cosines. The equation is:
a2 = b2 + c2 - 2bc cos A
Solve for A
2bc cos A = b2 + c2 - a2
cos A = (b2 + c2 - a2)/(2bc)
A = cos-1[(b2 + c2 - a2)/(2bc)]
A = cos-1[(142 + 152 - 132)/(2*14*15)]
A = 53.13°
Ok now here is my choices
A. 53 Degrees 8' 48''
B 53 Degrees 8' 13''
C. 53 Degrees 7' 48''
D. 53 Degrees 7' 13''
How do I know which one it is?
Click here to see answer by jim_thompson5910(35256) |
Question 151216: the point A at the ground is 12m from the bottom of a tree. From this point you can see the treetop at an elevation angle of 50 degrees. What is the height of th tree? Express your answer to three decimal places
Click here to see answer by jojo14344(1513) |
Question 151150: Each of the three dimensions of a cube with a volume of y3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is y3 - 13y2 + 54y - 72 cubic centimeters and the new width is y-6 centimeters, then what are the new length and height?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 151225: Hello,
Can someone please help me with this math problem it is from the college algebra math book.
Thank you,
Droxygirl1001
Problem: A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.
(1) Set up a system of equations to model this scenario.
(2) Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.
(3) Answer the question in (2) by using inverse matrices.
(4) Compare the two methods. When might one method be better than another method for solving a system?
Click here to see answer by stanbon(75887) |
Question 151219: A mounument is made in the form of a right pyramid with a regular hexagon as a base. Each base side is 5 m and the slant height is 30m. If the monument is to be covered by metal, how many square meters of metal are needed to cover the sides of the pyramid?
Click here to see answer by jojo14344(1513) |
Question 151280: A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 48in. at time t = 0; Determine an equation that models the volume v of the balloon at time t, and find the volume v of the balloon at time t, and find the volume when t = 300 sec
Click here to see answer by ankor@dixie-net.com(22740) |
Question 151310: It takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long and 2 inches high. How long will it take them to devour a block of wood that is 4 inches wide, 4 inches long and 4 inches high. Assume they keep eating at the same rate.
Click here to see answer by Earlsdon(6294) |
Question 151348: HI
can someone please help me with the math results from theses answers Stanbon was nice enough to answers the questions.I would like to see how the answers came about So can someone show me the work so I can understand the final answer for each question. I will resubmit the questions and the answers I recieved
Thank you
Droxygirl001
i) Problem: A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.
(1) Set up a system of equations to model this scenario.
(2) Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.
(3) Answer the question in (2) by using inverse matrices.
(4) Compare the two methods. When might one method be better than another method for solving a system?
THESES ARE THE ANSWERS I RECIEVED
A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.
(1) Set up a system of equations to model this scenario.
Let the number of boys be "b":
Let the number of girls be "g":
EQUATION:
b + g = 615
0.44b + 0.35g = 231
----------------------------
(2) Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.
b = 175
g = 440
-------------------------
(3) Answer the question in (2) by using inverse matrices.
-------------------------------
(4) Compare the two methods. When might one method be better than another method for solving a system?
Using the inverse method is much faster.
Click here to see answer by stanbon(75887) |
Question 151528: If a skydiver jumps from a airplane at a height of 8,256 ft, then for the first 5 seconds, her height above the earth is approximated by the formula, h= -16t^2 + 8,256. How many seconds does it take her to reach 8,000 ft?
Click here to see answer by Earlsdon(6294) |
Question 151540: I am trying to get an equation for averaging.
There are 4 tests in algebra. Jesse scored 97,82, and 86 on the first 3 test.What does
Jesse need to earn on the last test to make at least a 90 average.? I think the answer has to be > 90 or 92. How do I put that in an equation? Please help
Click here to see answer by oscargut(2103)  |
Question 151540: I am trying to get an equation for averaging.
There are 4 tests in algebra. Jesse scored 97,82, and 86 on the first 3 test.What does
Jesse need to earn on the last test to make at least a 90 average.? I think the answer has to be > 90 or 92. How do I put that in an equation? Please help
Click here to see answer by jim_thompson5910(35256) |
Question 151623: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me.
Homework
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
Maybe I'm just stupid but I can't figure it out to explain it to him.
Click here to see answer by jim_thompson5910(35256) |
Question 151623: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me.
Homework
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
Maybe I'm just stupid but I can't figure it out to explain it to him.
Click here to see answer by Alan3354(69443)  |
Question 151623: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me.
Homework
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
Maybe I'm just stupid but I can't figure it out to explain it to him.
Click here to see answer by solver91311(24713)  |
Question 151623: I need help. Algebra is not my fav subject. My son has homework and I have no idea how to do equivalent factions. so can someone help me.
Homework
Write two fractions that are equivalent to each fraction.
3/4
7/9
7/11
14/17
21/23
11/17
Maybe I'm just stupid but I can't figure it out to explain it to him.
Click here to see answer by Earlsdon(6294) |
Question 151692: # 78 area of a triangle the base of the triangle is 4 inches longer than the height . If its area is 70 square inches , what are the base and the height
So far I can say base = height + 4 area = 70 the formula for area of a triangle is A = 1/2 bh
70 = [(h+4)(h)/2]
140=h^2+4h
140= (h+4)(h-0) or should I do h^2 + 4h -140 = 0...(h+14)(h-10)=0
then h=-14 or h=10?
Click here to see answer by jim_thompson5910(35256) |
Question 151689: A car rental compan has two rental rates. rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2?
Click here to see answer by Earlsdon(6294) |
Question 151681: Can anyone seem to help me with this problem? I have come to a complete blank on it.
Question 64
Address book
The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?
x^2 + x^2 = 5^2
x^4 = 25
x^4 - 25 = 14
I do not know what to do next. I followed the Pythagorean steps, but cannot figure out what has gone wrong.
Thanks.
Amanda
Click here to see answer by jim_thompson5910(35256) |
Question 151691: I can't figure out where I went wrong, please help
104
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 after the formula
N(t) = - 3t^2 + 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).
c. Use the graph to estimate the time at which the workers are most efficient.
d. Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8 hour period.
a. -t (3t^2 - 24 t - 8 )
-t (3t + 1 )(t - 8)
b.
if t = 3
3N = -3 (3(3)+1)(3-8)
3N= -3(10)(-5)
3N= -3(-50)
3N= 150
N = 50
now the only problem i see is that according to the graph this
should be 5 not 50 can you tell what I have done wrong?
c. at 5 hours
d. estimate 235-240 components during the 5th hour
the total for the day is around 1275
Click here to see answer by Earlsdon(6294) |
Question 151688: one of five exams,Alex has scored 84,86,71,91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points what is the minimum number of points. Alex must earn on the final exam to achieve this goal?
Click here to see answer by jojo14344(1513) |
Question 151716: Need help. My son came home with math problems and I don't know how to do it nor do I know how to explain....anyone help
problem
write each repeating decimal using bar notation.
0.73535353......
0.424242........
5.126126126.......
I know its simple but its not coming to me.
Click here to see answer by Earlsdon(6294) |
Question 151811: Kathy and Ken work in a textbook warehouse. Kathy can fill an order of 100 books in 40 minutes. Ken can fill the same order in 60 minutes. How long would it take them, working together, to fill the order?
Click here to see answer by vleith(2983) |
Question 151800: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangle area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 151848:
A guy wire of length 50 feet is attached to the ground and the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?
x-2 from the ladder to the house
10ft from the ground to the top of the house
Click here to see answer by checkley77(12844) |
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