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Recent problems solved by 'scott8148'
scott8148 answered: 6619 problems
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1 solutions
Answer 261932 by scott8148(6628)   on 2010-11-07 20:35:42 (Show Source):
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Human-and-algebraic-language/367449: trains A and B are traveling in the same direction on parallel tracks. Train A
is traveling at 60mph and train B is traveling at 70mph. Train A passes a station at4:15 A.M. If train Bpasses the same station at 4:45.M., at what time will train B catch up to train A?
1 solutions
Answer 261930 by scott8148(6628) on 2010-11-07 20:32:24 (Show Source):
You can put this solution on YOUR website!in the half hour between A and B passing the station , A travels 30 mi (.5 * 60)
A is 30 mi ahead , but B is closing at 10 mph (70 - 60)
so how long does it take B to close the 30 mi gap at 10 mph?
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Polynomials-and-rational-expressions/367446: Hi, I have to find a 5th degree polynomial with real coefficients whose zeros are 0, 0, 0, i.
I've completed problems like this before but I've never seen zeros of 0, not sure how to start with this one. If you could just direct me how to set this problem up, I should be good to go.
Thanks so much!
1 solutions
Answer 261926 by scott8148(6628) on 2010-11-07 20:26:55 (Show Source):
You can put this solution on YOUR website!if r is a root (zero) of a polynomial , then x-r is a factor
complex roots (like i) occur in conjugate pairs ___ if i is a root , so is -i
the factors of your polynomial are ___ (x - 0)(x - 0)(x - 0)(x + i)(x - i)
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Geometry_Word_Problems/366869: Two students are using a measuring tape to find the length of a room.The tape reads 13 ft 6.25 inches.However, the student at one end is holding the tape 9 in. higher than the student at the other end. What is the difference between their measurement and the true length?
1 solutions
Answer 261922 by scott8148(6628) on 2010-11-07 20:20:33 (Show Source):
You can put this solution on YOUR website!the tape is the hypotenuse of a right triangle , while the 9 in and the true length are the two sides
(13 ft 6.25 in)^2 = (t)^2 + (9 in)^2
162.25^2 = t^2 + 9^2 ___ t^2 = 162.25^2 - 9^2 ___ t = sqrt(162.25^2 - 81)
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Miscellaneous_Word_Problems/366394: The figure shows a lever system, similar to a seesaw that you might find in a childrenÂ’s playground. For the system to balance, the product of the weight and its distance from the fulcrum must be the same on each side; that is,
w1x1 = w2x2This equation is called the law of the lever.
A plank 35 ft long rests on top of a flat-roofed building, with 5 ft of the plank projecting over the edge, as shown in the figure. A worker weighing 245 lb sits on one end of the plank. What is the largest weight that can be hung on the projecting end of the plank if it is to remain in balance?
1 solutions
Answer 261907 by scott8148(6628) on 2010-11-07 19:17:32 (Show Source):
You can put this solution on YOUR website!the worker is six times the distance from the fulcrum as the projecting end
so the largest balancing weight would be six times the worker's weight
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Age_Word_Problems/366847: Bob’s mother called her brother and reported that Bob’s football team held the other team scoreless and made all its points on the touchdowns (6 points) and field goals (3 points), missing every point after the touchdown kick. She told him that the final score was 43–0. Her brother told her that this couldn’t be the correct score. How did he know?
Please help I do not even know who to start this one and it is due on Sunday.
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Answer 261599 by scott8148(6628) on 2010-11-06 20:29:33 (Show Source):
You can put this solution on YOUR website!all the scoring was either 6 points or 3 points , both of which are divisible by 3
the reported total score is NOT divisible by 3 , and so it cannot be correct
FYI : a quick test for divisibility by 3 is
___ if the SUM of the digits of a number is divisible by 3 , then the number is divisible by 3
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Surface-area/366410: Can you please explain the process in finding the total surface area of a cube with an edge of 11ft? (in laymans terms)
Richard
1 solutions
Answer 261099 by scott8148(6628) on 2010-11-04 23:28:46 (Show Source):
You can put this solution on YOUR website!the cube has six identical square faces
the area of each face is the square of the edge length
the total surface area is six times the area of one face
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Miscellaneous_Word_Problems/366402: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 16 h using both hoses. They also know that Bob's hose, used alone, takes 50% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?
1 solutions
Answer 261097 by scott8148(6628) on 2010-11-04 23:23:30 (Show Source):
You can put this solution on YOUR website!Bob's hose takes half the time , so it fills twice as fast
in the 16 hrs it takes to fill the pool , Bob's hose fills 2/3 of the pool and Jim's hose fills 1/3
16 hrs to fill 1/3 means 48 hrs to fill 3/3 (the whole pool)
Bob's hose takes half that time or 24 hrs
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Expressions-with-variables/366196: I need to write an equation and then solve using the substitution method. I am confused on writing the equation.
x represents the amount of houses with the first floor plan.
y represents the amount of houses with the second floor plan.
total of 56 houses. easy, x+y=56.
Now, the question. The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation.
I have been all over with this. My first reaction is 3y+x=56. I can't seem to use that with the substitution method with my x+y=56.
1 solutions
Answer 260968 by scott8148(6628) on 2010-11-04 18:05:05 (Show Source):
You can put this solution on YOUR website!"there are three times as many homes available with the second floor plan than the first"
___ translation: there are three times as many y's as x's ___ y = 3x
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Miscellaneous_Word_Problems/365736: S = S subscript 0 + V subscript 0 t - 16t^2. Where S represents the objects height off the ground. S subscript 0 is the objects orginial height, V subsript 0 is the initial velocity of the object and t the time that has passed since the object was released. If a ball was launched from the ground ( originial height zero) with the intitial velocity 118 ft per second find the time it will take for the ball to land.
I hope this questions doesnt seem complicated, But ive been working on it for abbout 2 hours and cant come to a solution. Any help at all will be greatly appreciated.
1 solutions
Answer 260721 by scott8148(6628) on 2010-11-03 20:49:55 (Show Source):
You can put this solution on YOUR website!when the ball lands , S will be zero (just like the start)
___ so t=0 is the 1st solution , but the other solution is the important one
S is zero , S sub0 is zero , V sub0 is 118
___ solve the quadratic (factoring works)
___ you want the non-zero solution
0 = 0 + 118t - 16t^2
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Linear_Equations_And_Systems_Word_Problems/365772: I am working on Systems of Equations.
Jackie bought some stamps for $15.16. Some were 26 cent stamps and soe were 41 cent stamps. She bought 41 stamps in all. How many of each stamp did she buy?
I have defined variables as: a=# of 26 cent stamps and b=# of 41 cent stamps
I have written out the two equations (i believe they are right but they may be the reason I can't figure out the problem): .26a+.41b=15.16
a+b=41
I have multiplied the first one by 100 to eliminate the decimals, but as I go through the problem using elimination ( that is what I was directed to use my my teacher) I end up with decimals and that can't be right as you can't have 2.121212121 stamps...
Hopefully you can help me, it would be much appreciated and thank-you. :)
1 solutions
Answer 260714 by scott8148(6628) on 2010-11-03 20:37:46 (Show Source):
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Miscellaneous_Word_Problems/365656: Eighteen people,numbered 1-18, are equally spaced around a table. What is the number of the person directly across from the person numbered six?
I drew a circle with numbers 1-18 around it, and i think it might be 14. Am i right?
1 solutions
Answer 260668 by scott8148(6628) on 2010-11-03 18:31:57 (Show Source):
You can put this solution on YOUR website!in addition to the two people across from each other , there are 16 other people at the table
so there are 8 people BETWEEN any two people who are opposite each other
6 + 8 + 1 = ?
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Rate-of-work-word-problems/365271: A town's old street sweeper can clean the streets in 60 hours. The old sweeper together with a new sweeper can clean the streets in 15 hours. How long would ti take the new sweeper to do the job alone?
1 solutions
Answer 260652 by scott8148(6628) on 2010-11-03 17:58:30 (Show Source):
You can put this solution on YOUR website!in the 15 hr working together , the old sweeper cleans 1/4 (15/60) of the streets
this means that the new sweeper cleans 3/4 of the streets in 15 hr
so it can clean 4/4 (all) the streets in ?
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Graphs/365269: Here is my question. Solve and graph.
6-2x >= 12 and 4x - 5 > 15
So I figured the problem to be for the first equation x <=-3 and for the second
equation x > 5. It is a multiple choice question and gives 4 answers, none of
which I thought it would be:
x/x <=3
x/-3<=x<5
x/x>5
O (with a line thru it)
I am a little lost here, I would think maybe x/-3<=x<5, but isn't it x>5?
I thank you in advance for your help
1 solutions
Answer 260650 by scott8148(6628) on 2010-11-03 17:54:31 (Show Source):
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logarithm/365588: Hey!
I have been working on this problem for awhile now & any help would be greatly appreciated!
logbase 2(logbase 2(logbase 2(2^4^x))) = 3
1 solutions
Answer 260615 by scott8148(6628) on 2010-11-03 15:08:56 (Show Source):
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Quadratic_Equations/365523: What is the vertex of f(x)=x^2-4, and how did you figure it out?
Thank you so much for your help!
1 solutions
Answer 260612 by scott8148(6628) on 2010-11-03 14:50:50 (Show Source):
You can put this solution on YOUR website!the general vertex form of the equation is ___ f(x) = a(x - h)^2 + k
"a" is the coefficient of the second order (squared) term , and (h,k) is the vertex
fitting your equation to the general form ___ f(x) = 1(x - 0)^2 + (-4)
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Geometry_Word_Problems/364130: The measure of each interior angle of a polygon is 3 times the measure of each exterior angle. How many sides does the polygon have?
1 solutions
Answer 259800 by scott8148(6628) on 2010-10-31 23:24:49 (Show Source):
You can put this solution on YOUR website!the interior and exterior angles are supplementary
x + 3x = 180 ___ x = 45
the sum of the exterior angles of a polygon is 360
360/45 = 8 ___ this is an octagon
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Money_Word_Problems/364124: You invested $12,000, part of it in a stock that paid 14% annual interest. However, the rest of the money suffered a 6% loss. Express the total annual income from both investments, I, as a function of the amount invested in the 14% stock, x.
1 solutions
Answer 259797 by scott8148(6628) on 2010-10-31 23:18:49 (Show Source):
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Human-and-algebraic-language/364367: I am having trouble getting this into 2 system of equation formulas, once I have the equation I will be good to go.
problem is:
A box has an open top, rectangular sides, and a square base. The volume of the box is 576 cubic inches, and the surface area of the outside of the box is 336 square inches. Find the dimensions of the box.
1 solutions
Answer 259795 by scott8148(6628) on 2010-10-31 23:14:41 (Show Source):
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Radicals/364383: Please help me solve this equation:
Let f(x)=x^2+2x-1 and g(x)=2x-4. Find 2f(x)-3g(x).
What I have tried was:
2(x^2+2x-1)-3(2x-4)
(2x^2+4x-2)-(6x+12)
2x^2-2x-14
The answer is supposed to be 2x^2-2x+10, but I don't see how you get that.
1 solutions
Answer 259792 by scott8148(6628) on 2010-10-31 23:06:23 (Show Source):
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Inequalities/364122: A movie theater had a certain number of tickets to give away. Five people got the tickets. The first got one-third of the tickets, the second got one-fourth of the tickets, and the third got one-fifth of the tickets. The fourth person got eight tickets, and there were five tickets left for the fifth person. Find the total number of tickets given away.
1 solutions
Answer 259788 by scott8148(6628) on 2010-10-31 23:02:51 (Show Source):
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Probability-and-statistics/364374: A student randomly guesses the answers to a five question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?
1 solutions
Answer 259786 by scott8148(6628) on 2010-10-31 22:57:00 (Show Source):
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Length-and-distance/364112: A ladder leans against a house with its foot 15 ft from the house. When the foot of the ladder is pulled 9 ft farther away from the house, the top slides down 13 ft. How long is the ladder?
1 solutions
Answer 259783 by scott8148(6628) on 2010-10-31 22:53:50 (Show Source):
You can put this solution on YOUR website!a^2 + 15^2 = (a - 13)^2 + 24^2
a^2 + 225 = a^2 - 26a + 169 + 576 ___ 26a = 520 ___ a = 20
the two sides of the triangle are 15 and 20
___(looks like a 3-4-5 triangle) so the hypotenuse (ladder) is ?
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Probability-and-statistics/364102: A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A)=P(B)=0.93, P(C)=0.99, and P(D)=0.95. Find the probability that at least one of the four parts will work.
1 solutions
Answer 259781 by scott8148(6628) on 2010-10-31 22:45:02 (Show Source):
You can put this solution on YOUR website!the probability that at least one part will work is equal to ONE minus "the probability that NONE of the parts work"
P = 1 - [(1 - .93)(1 - .93)(1 - .99)(1 - .95)]
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Quadratic_Equations/363129: Create the quadratic equation in the form y=ax^2+bx+c using the point (0,2) as one point and the point (9,-8) as the vertex. Enter the a,b, and c values as common fractions in reduced form.
1 solutions
Answer 259440 by scott8148(6628) on 2010-10-30 01:03:01 (Show Source):
You can put this solution on YOUR website!using the vertex form ___ y = a(x - 9)^2 - 8
substituting ___ 2 = a(0 - 9)^2 - 8 ___ 10 = 81a ___ 10/81 = a
expanding ___ y = (10/81)x^2 - (20/9)x + 2
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Numbers_Word_Problems/362903: I came across a problem today in my Algebra 2 Book that I am not sure how to approach. I know sum means addition, but what does coefficient supposed to mean in this problem? Would doing 4x+4y be a step in the right direction? I am expected to know this for the upcoming quiz, and any help on this will be very much appreciated. My problem is not knowing what it is asking exactly.
problem:
Rick's typing speed in WPM(words per minute) equals the sum of the coefficients of the 5 terms of (x+y)4. How many words per minute can Rick type?
help is appreciated,
1 solutions
Answer 258702 by scott8148(6628) on 2010-10-27 23:31:47 (Show Source):
You can put this solution on YOUR website!there seems to be an exponentiation sign missing
the problem is to expand the binomial (x + y)^4
___ then add (sum) the coefficients of the terms to find Rick's typing speed
you are only interested in the numerical value of the coefficients
use Pascal's Triangle or the binomial theorem
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