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edjones answered: 7568 problems
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Radicals/379691: An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 12 mintes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank overflows? Thanks!

1 solutions

Answer 269594 by edjones(7569) About Me  on 2010-12-02 13:15:34 (Show Source):
You can put this solution on YOUR website!
Let t = time in minutes
1/8 - 1/12 = 1/t
3/24 - 2/24 = 1/24
1/24 of the job of filling the tank is done in one minute
24 min to fill the tank.
.
Ed


Probability-and-statistics/379714: Write the first four terms in the expansion of each of the following.
(a-b)^12
1 solutions

Answer 269592 by edjones(7569) About Me  on 2010-12-02 13:04:45 (Show Source):
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a^12-12a^11b+66a^10b^2-220a^9b^3


Probability-and-statistics/379722: Find and simplify the specified term in each expansion.
The term containing b^13 in (a-b)^15
1 solutions

Answer 269591 by edjones(7569) About Me  on 2010-12-02 13:01:01 (Show Source):
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b^13 in (a-b)^15
- 15C13 *a^2b^13
= -105*a^2b^13
.
Ed


Sequences-and-series/379646: A rose garden has 21 bushes in one row, 17 bushes in the next row, then 13, and so on. If there are 66 bushes in the garden, in how many rows are they planted?


1 solutions

Answer 269585 by edjones(7569) About Me  on 2010-12-02 12:50:13 (Show Source):
You can put this solution on YOUR website!
Aritmetic sequence:
c=a[1]-d
c=21-(-4)=25
.
a[n]=dn+c
a[n]=-4n+25
.
(n/2)(a[1]+a[n])=S[n]
(n/2)(21-4n+25)=66
n(46-4n)=132
46n-4n^2=132
4n^2-46n+132=0
2n^2-23n+66=0
(n-6)(2n-11)=0
n=6 rows
.
Ed


Miscellaneous_Word_Problems/379627: A collection of dimes is arranged in a triangular array with 18 coins in the base row, 17 in the next, 16 in the next, and so forth. Find the value of the collection.


I am looking through my text and cannot find an explanation anywere, I appreciate the help
1 solutions

Answer 269572 by edjones(7569) About Me  on 2010-12-02 11:24:45 (Show Source):
You can put this solution on YOUR website!
Find the sum of the arithmetic sequence and multiply it by .10
S[18]=18/2(1+18)
=9*19
=171
=$17.10
.
Ed


Polynomials-and-rational-expressions/379643: Hey! I am a college student who is practicing for her exam by using a study guide. Right now I need help with factoring polynomials. I've tried solving these two problems but im really just guessing. The questions are:
1) 5x + 35 + xy + 7y
2) x^2 + x -56
If someone could help i would be so grateful!! I missed the day when we covered factoring polynomials and have never quite understood it.
1 solutions

Answer 269570 by edjones(7569) About Me  on 2010-12-02 10:57:59 (Show Source):
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1) 5x + 35 + xy + 7y
=5(x+7)+y(x+7) Factoring by grouping.
=(5+y)(x+7)
.
Ed


logarithm/379642: log[x](1/16)=-2
1 solutions

Answer 269569 by edjones(7569) About Me  on 2010-12-02 10:53:05 (Show Source):
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log[x](1/16)=-2
4^(-2)=1/16
4=answer
.
Ed


Age_Word_Problems/379352: Three years from now, Bob will be three times as old as he was three years ago. How old is Bob now?
1 solutions

Answer 269366 by edjones(7569) About Me  on 2010-12-01 21:25:18 (Show Source):
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Let b=bob's age now.
b+3=3(b-3)
b+3=3b-9
-2b=-12
b=6 y. o.
.
Ed


Linear-equations/379356: What is the slope that passes through each of these pair points?
(12,-4), (7-1)
1 solutions

Answer 269365 by edjones(7569) About Me  on 2010-12-01 21:21:11 (Show Source):
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(12,-4), (7-1)
m = -1-(-4) / (7-12)
=3/-5
=-3/5
.
Ed


Proportions/379357: what is the average speed in km/h if a car covers 11km in 14 minutes
1 solutions

Answer 269360 by edjones(7569) About Me  on 2010-12-01 21:16:54 (Show Source):
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x/60 = 11/14
x=(60*11)/14
=47.14 km/h
.
Ed


Inequalities/379366: x - 8 > - 5(x+3) what is the solution using set builder notation?
1 solutions

Answer 269356 by edjones(7569) About Me  on 2010-12-01 21:07:41 (Show Source):
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x - 8 > - 5(x+3)
x-8>-5x-15
6x>-7
x>-7/6
X(-7/6, infinity)
.
Ed


Probability-and-statistics/379376: An organization raises a money by selling 3000 raffle tickets. Three prizes are winning 1500, 500, 250.
1. What is a 'fair price' to pay for a ticket?
2. If the organization charges the fair price. What is the profit made?
1 solutions

Answer 269349 by edjones(7569) About Me  on 2010-12-01 20:46:53 (Show Source):
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1500+500+250=2250
1) 2250/3000=$0.75 Fair price for a ticket.
2) None.
.
Ed


expressions/379378: 6x/16
1 solutions

Answer 269344 by edjones(7569) About Me  on 2010-12-01 20:42:15 (Show Source):


percentage/379373: If p is 75% of q , the q is what percent of p?
1 solutions

Answer 269342 by edjones(7569) About Me  on 2010-12-01 20:38:01 (Show Source):
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p=.75q
q=p/.75 or 133.33% of p
.
Ed


Word_Problems_With_Coins/378371: In how many ways can $10.00 be changed into quarters and dimes with at least one of each coin being used?
1 solutions

Answer 268830 by edjones(7569) About Me  on 2010-11-30 16:37:39 (Show Source):
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There have to be an even number of quarters.
10/.5=20-1=19 ways There can't be all quarters, hence the -1.
.
Ed


Parallelograms/378326: Before 1918, approximately 60% of the wolves in the New Mexico and Arizona region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 67% of wolves in the region are male, and 33% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to four decimal places.)
(a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male?

What is the probability that 6 or more were female?

What is the probability that fewer than 3 were female?

(b) For the period from 1918 to the present, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male?

What is the probability that 6 or more were female?

What is the probability that fewer than 3 were female?
1 solutions

Answer 268826 by edjones(7569) About Me  on 2010-11-30 16:29:58 (Show Source):
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Expand (x+y)^9
x^9+9x^8y+36x^7y^2+84x^6y^3 Use this for a & b 1.
x^9+9x^8y+36x^7y^2 Use this for a & b 2.
Use the percentage figures above in decimal form.
Answers:
a)
.0994
.2318
b)
.0404
.3854
.
Ed


Probability-and-statistics/378309: According to company reports, the current mix of colors for M&M dark chocolate candies is: 20% yellow, 10% red, 15% orange, 10% blue, 25% green, with the rest being brown.
A. If a single piece is taken from a bag of 600 pieces, find the following probabilities:
a. P (red)
b. P (brown)
c. P (blue or orange)
d. P (NOT red)
e. P (NOT brown)
f. P (red and green)


B. If two pieces are taken from a 600 piece bag, find the following probabilities:
a. P (both are blue)
b. P (the first is orange)
c. P (first is red and the second is green)
C. How would the process in problem #1A change if we are sampling from a “fun-size” bag which only has 12 pieces?
D. How would the process in problem #1B change if we are sampling from a “fun-size” bag which only has 12 pieces?

1 solutions

Answer 268816 by edjones(7569) About Me  on 2010-11-30 16:02:16 (Show Source):
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100-20-10-15-10-25=20% are brown
600*.2=120 yellow
600*.1= 60 red
600*.15=90 orange
600*.10=60 blue
600*.25=150 green
600*.2=120 brown
.
B)
1) 60/600 * 59/599 = .0098
2) 90/600 = .15
3) 60/600 * 150/599 = .0250
.
Ed


Permutations/378342: A commitee is to consist of three members. If there are three men and five woman availiable to serve on the committee, how many different committees can be formed, using Combination?
1 solutions

Answer 268813 by edjones(7569) About Me  on 2010-11-30 15:46:17 (Show Source):
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nCr=
=8C3
=8!/(5!*3!)
=56 different committees.
.
Ed


Parallelograms/378323: The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2748 raffle tickets at $5 per ticket.
(a) Kevin bought thirty-three tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean?
What is the probability that Kevin will not win the cruise?
(b) Kevin's expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings?
Is this more or less than the amount Kevin paid for the thirty-three tickets?
more
less
How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)
1 solutions

Answer 268812 by edjones(7569) About Me  on 2010-11-30 15:42:25 (Show Source):
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a)
33/2748 = .012
1-.012=.988 the probability that Kevin will not win the cruise.
.
b)
2000*.012=$24. expected earnings
.
Ed


test/378331: Recipe calls for six pounds of meat. If you use a 3 to 1 ratio of beef to pork how much pork is used
1 solutions

Answer 268810 by edjones(7569) About Me  on 2010-11-30 15:31:19 (Show Source):
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3+1=4
6/4=1.5 lbs.


Permutations/378337: A reading list for a course in world literature has 20 books on it. How many ways can you choose 4 books to read, using Combinations?
1 solutions

Answer 268809 by edjones(7569) About Me  on 2010-11-30 15:29:19 (Show Source):
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nCr=n!/((n-r)!r!)
20C4=20!/(16!*4!)
=4,845 ways
.
Ed


Numbers_Word_Problems/378333: its a three digit number, its divisable by 5 it an odd number each of is digits are different,its tens digitis less than its ones digit,its hundreds digit is less than its tens digit, its greater than 200 its divisable by 3 it has 2 odd numbers and its tens digit is a 4 . What it the number?
1 solutions

Answer 268808 by edjones(7569) About Me  on 2010-11-30 15:25:50 (Show Source):


expressions/377970: Thank you for being available this evening,
I wanted to know about the 'signs' in between algebra problems with brackets. Here is my example problem:
[3(x+2)+2x]-[4(y+2)-3(y-2)]
Will the minus sign between the problems on the left and right side change the answer at all? Or will it make a difference in the outcome?
1 solutions

Answer 268545 by edjones(7569) About Me  on 2010-11-29 20:59:27 (Show Source):
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[3(x+2)+2x]-[4(y+2)-3(y-2)]
Lets do the easy side first, the left side.
[3(x+2)+2x]
=3x+6+2x work on the interior parentheses 1st.
=5x+6
.
-[4(y+2)-3(y-2)] The tough side.
-[4y+8-3y+6] Notice you multipy -3 times y AND -2 which chnges the sign on both of them.
-[y+14]
-y-14 Ditto
.
5x+6-y-14
=5x-y-8
.
Ed


test/377967: What is 12a over 5a simplified ?
1 solutions

Answer 268539 by edjones(7569) About Me  on 2010-11-29 20:41:53 (Show Source):
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12a/5a = 12/5


expressions/377949: How do you solve -2/3 * (-1/3)
Thank you
1 solutions

Answer 268537 by edjones(7569) About Me  on 2010-11-29 20:40:52 (Show Source):
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-2/3 * -1/3
=2/9 multiply the numerators times each other, then the denominators.
.
Ed


Travel_Word_Problems/377940: I need major help with this word problem. My teacher has explained it to me many times but I never seem to get it. Please help me online tutor!(: here's the problem....
One train from Chicago traveling toward Washington D.C. at the rate of 55 mph. Another train starting at the same time leaves Washington D.C. for Chicago traveling at the rate of 45 mph. If the distance between the two cities is 900 miles, how long will it be before the trains pass each other?
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME!!!!!!!!!!!!!!!! THANKS!(:
1 solutions

Answer 268534 by edjones(7569) About Me  on 2010-11-29 20:34:22 (Show Source):
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Since they are going toward each other you must add the rates.
rate * time = distance
The instant the sum of their distances reaches 900 mi they are passing each other. They will have been going the same amount of time when they pass.
rt+rt=900
55t+45t=900
100t=900
t=9 hrs
.
Ed



Equations/377932: 8r-2r=0
1 solutions

Answer 268524 by edjones(7569) About Me  on 2010-11-29 20:20:49 (Show Source):
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8r-2r=0
6r=0
r=0/6
r=0
.
Ed


Rational-functions/377909: Good Evening! I am working on some homework and ran into a problem that I am having trouble figuring out. This function stuff really has me confused.
Find the domain of the function: h*(x)= 7x/x*(x^2-9)
Thank you so much!!
Denise Bissell
1 solutions

Answer 268518 by edjones(7569) About Me  on 2010-11-29 20:15:21 (Show Source):
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h*(x)= 7x/x*(x^2-9)
h(x)=7/(x^2-9)
=7/((x+3)(x-3))
x cannot be 3 or -3 because there would be division by zero.
The domain is all real numbers except 3 and -3.
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C7%2F%28x%5E2-9%29%29


Quadratic_Equations/377907: the answers are -9 and 1, i am trying to understand this process, so x = -9 and x = 1, so x^2(x -9)(x 1) so x^2 + 3x -9 = 0 ???
i must be doing something wrong and i need help...
1 solutions

Answer 268507 by edjones(7569) About Me  on 2010-11-29 20:06:14 (Show Source):
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x = -9 and x = 1
(x+9)(x-1)
=x^2+8x-9 FOIL
.
Ed


Triangles/377887: the base of an isosceles traingle is 21 centimeters long.The altitude to the base is 9 centimeters long.What is the approximate measure of a base of the traingle?
1 solutions

Answer 268501 by edjones(7569) About Me  on 2010-11-29 20:02:34 (Show Source):
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21 cm. (given)


Travel_Word_Problems/377662: On monday, Hank drove to work at an average speed of 70km/h and arrived 1 minute late. On Tuesday, he left at the same time and took the same route. This time he drove at an average speed of 75km/h and arrived 1 minute early. How long is his route to work?
1 solutions

Answer 268351 by edjones(7569) About Me  on 2010-11-29 15:16:18 (Show Source):
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st=d
s*t=s*t
70*60(t+1)=75*60(t-1) Making speed into km/min is easier.
4200t+4200=4500t-4500
-300t=-8700
t=29 min
70 * 30/60 = 35 km
.
Ed