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richwmiller answered: 9124 problems
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Probability-and-statistics/258357: The probability of drawing a green marble from a marble bag is 80%. What are the odds in favor of drawing a green marble?
A. 1:4
B. 4:5
C. 4:1
D. 5:4
I know this easy but I cannot figure out how to do this anymore. Please explain how to do this.
Also do you know what they mean with "Sample Space" dealing with a pie chart and probability?


1 solutions

Answer 190198 by richwmiller(9135) About Me  on 2010-01-19 09:39:11 (Show Source):


test/258366: What is the lowest term for 1080 and 2880?
1 solutions

Answer 190197 by richwmiller(9135) About Me  on 2010-01-19 09:35:48 (Show Source):
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Do you mean factors?
1080=3*360
2880=8*360
largest factor 360
smallest factor 1
1080=1*1080
2880=1*2880


Travel_Word_Problems/258365: A car travels 40 mph. if it travels at this rate for 5 hours, how many miles will it travel
1 solutions

Answer 190195 by richwmiller(9135) About Me  on 2010-01-19 09:27:17 (Show Source):
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r*t=d
40*5=200


Age_Word_Problems/258359: A WOMAN IS 4 TIMES OLDER THEN HER DAUGHTER, IN 18 YEARS THE WOMAN WILL BE TWICE THE DAUGHTERS AGE, WHAT ARE THE CURRANT AGES OF THE MOTHER AND THE DAUGHTER?
1 solutions

Answer 190194 by richwmiller(9135) About Me  on 2010-01-19 09:25:59 (Show Source):
You can put this solution on YOUR website!
Why are you shouting?
All capital letters on the internet is shouting!
It is also harder to read!
currants are grapes not ages
w=4d
(w+18)=2*(d+18)
d=9 w =36
check
in 18 years 27 and 54
ok


Linear-equations/258363: Part of $8,000 was invested at 10% interest and the rest at 12%. If the annual income from these investments was $850, how much was invested at each rate? Could someone help me with this problem?
Thank you.
1 solutions

Answer 190192 by richwmiller(9135) About Me  on 2010-01-19 09:21:27 (Show Source):
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.10*x+.12(8000-x)=850
x=5500 at 10%
8000-x=2500 at 12%


Geometry_Word_Problems/258360: Three rugs have a combined area of 200 square meters. By overlapping the rugs to cover a floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug?
1 solutions

Answer 190191 by richwmiller(9135) About Me  on 2010-01-19 09:17:41 (Show Source):
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200-140=60 sq meters overlapped
60-24=36 more to overlap
36 m^2 overlapped 3 layers


Rational-functions/258349: 2x/x+3 - 4/x
A.2x-4/2x+3
B.2x-4/x^2+3x
C.2x^2-4x-12/x^2+3x
D.8x/2x+3

1 solutions

Answer 190187 by richwmiller(9135) About Me  on 2010-01-19 09:09:07 (Show Source):
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(2 x)/(x+3) + (-4)/x
| = | (2 x x)/((x+3) x) + (-4 (3+x))/(x (3+x)) | (make common denominator)
| = | (2 x^2)/(3 x+x^2) + (-12-4 x)/(3 x+x^2) | (multiply)
| = | (2 x^2 + -12-4 x)/(3 x+x^2) | (collect terms)
| = | (-12-4 x+2 x^2)/(3 x+x^2) | (add)
which is equivalent to
C.2x^2-4x-12/x^2+3x


Travel_Word_Problems/258358: Car a is traveling 60 mph and leaves 8 minutes before car b which is traveling 73 mph. How long before car b catches car a?
1 solutions

Answer 190186 by richwmiller(9135) About Me  on 2010-01-19 08:58:31 (Show Source):
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60*(t+8)=73t
t = 480/13
t=36.9231 minutes for car b to catch car a.
When car b started car a had already gone 8 miles.


Miscellaneous_Word_Problems/258354: A cool Java program takes in a two-digit integer. If the integer is even, it prints half the integer, while if the integer is odd it prints twice the integer. If 17 was printed, which of the following could have been entered?
I. 17
II. 34
III. 68
A II and III b) None c) III d) I and II e) II
1 solutions

Answer 190184 by richwmiller(9135) About Me  on 2010-01-19 08:53:34 (Show Source):
You can put this solution on YOUR website!
A cool Java program takes in a two-digit integer. If the integer is even, it prints half the integer, while if the integer is odd it prints twice the integer. If 17 was printed, which of the following could have been entered?
17 can't be twice any integer since it is odd.
so it must be half the integer
n/2=17
n=34
answer e) II 34


Linear-equations/258350: In a lab experiment 9 grams of acid were produced in 34 minutes and 19 grams in 43 minutes. Let g be the number of grams and m be the number of minutes. Find a linear equation that you could use to calculate g for any number of minutes?
1 solutions

Answer 190183 by richwmiller(9135) About Me  on 2010-01-19 08:49:31 (Show Source):
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g=9 m=34
g=19 m=43
(g-g)/(m-m)=slope
19-9/43-34=slope
10/9=slope
g=10/9*m+b
9=10/9*34+b
81=10*34+9b
81=340+9b
81-340=9b
-259=9b
-259/9=b
g=10%2F9%2Am-259%2F9
check
19=10/9*43-259/9
19=430/9-259/9
19=171/9
ok
check
9=10/9*34-259/9
9=(340-259)/9
9=81/9
ok


Linear-equations/258351: x+4y=16
1 solutions

Answer 190182 by richwmiller(9135) About Me  on 2010-01-19 08:38:10 (Show Source):
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Nice equation! Do you have a question?


Polynomials-and-rational-expressions/258348: x^3+4x^2-9
1 solutions

Answer 190177 by richwmiller(9135) About Me  on 2010-01-19 07:59:06 (Show Source):
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(x+3) (x^2+x-3)


Numbers_Word_Problems/258347: A, B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?
1 solutions

Answer 190175 by richwmiller(9135) About Me  on 2010-01-19 07:51:23 (Show Source):
You can put this solution on YOUR website!
I did this a couple days ago. Look for it.
http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.257965.html


Numbers_Word_Problems/258334: If 5! means 5x4x3x2x1, how many terminal zeros will you have if you compute 10! ? 100! ?
1 solutions

Answer 190174 by richwmiller(9135) About Me  on 2010-01-19 07:49:58 (Show Source):
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10! ends in 2 0's
100! ends in 24 0's


Numbers_Word_Problems/258333: what is the smallest number with exactly five divisors?
1 solutions

Answer 190171 by richwmiller(9135) About Me  on 2010-01-19 07:44:03 (Show Source):
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1 1
2 2,1
3 3,1
4 4,2,1
5 5,1
6 6.3.2.1
7 7,1
8 8,4,2,1
9 9,3,1
10 5,2,1
12 12,6,3,2,1


Age_Word_Problems/258321: Mr. Reyes is 25 years older than his son. How old are the father and the son if Mr. Reyes is5 more than thrice as old as his son?

1 solutions

Answer 190169 by richwmiller(9135) About Me  on 2010-01-19 07:39:57 (Show Source):
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r=25+s
r=5+3s
25+s=5+3s
20=2s
10=s
r=35


Miscellaneous_Word_Problems/258342: A Solid sphere of radius 3cm is melted and then cast into small spherical balls each of diameter 0.6cm. Find number of balls thus obtained.
1 solutions

Answer 190167 by richwmiller(9135) About Me  on 2010-01-19 07:35:03 (Show Source):
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pi*r^3=volume of sphere
pi*27 =volume of larger sphere
pi*r^3
pi*.6^3
27/.6^3=125 balls
another way is
3/.6=5
5^3=125


Miscellaneous_Word_Problems/258343: One side of rectangle measure 3cm and its diagonal measures 5m. Area of rectangle is ?
1 solutions

Answer 190164 by richwmiller(9135) About Me  on 2010-01-19 07:29:11 (Show Source):
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one side is 3 the diagonal is 5
this is the classic 3,4,5 right triangle
so the area is 3*4=12 cm^2


Rate-of-work-word-problems/258295: A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=150t^2 where t is in minutes.
a) How much water flows out of the tank in the first 3 minutes?
b)How many minutes does it take for the tank to empty completely?

I am completely lost any help would be great!!!!
1 solutions

Answer 190162 by richwmiller(9135) About Me  on 2010-01-19 07:26:08 (Show Source):
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a)
f(3)=150*3^2
f(3)=150*3*3=450*3=1350
f(3)=1350
b)
6000=150*t^2
40=t^2
2sqrt(10)=t
t=6.32456 minutes


decimal-numbers/258329: how do we rename decimal as percent?
1 solutions

Answer 190158 by richwmiller(9135) About Me  on 2010-01-19 06:57:10 (Show Source):
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Move the decimal point two places to the right which is multiplying by 100.
.10=10%


Numbers_Word_Problems/258338: Determine the values of the three different digits d, a, and n given the following:

dna
+ dan
_________
and

1 solutions

Answer 190156 by richwmiller(9135) About Me  on 2010-01-19 06:54:19 (Show Source):
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a+n=d
a+n+1=n
a+1=0
adjustment
a+1=10
a=9
d+d+1=9
d=4
4x9
49x
9x4
9+5=4 (14) carry 1
x=5
459
+495
=954


Miscellaneous_Word_Problems/258339: Each edge of a cube is colored either red or black. If every face of the cube has at least one black edge, what is the smallest possible number of black edges?
1 solutions

Answer 190155 by richwmiller(9135) About Me  on 2010-01-19 06:48:04 (Show Source):
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There are 6 faces. Each face has 4 edges but not unique edges since edges are shared with one other face. 6*4=24 24/2=12 unique edges. So at least one of four edges is black. Each black edge is shared. So we need at least 3 black edges to have all faces with a black edge. 12/4=3


Numbers_Word_Problems/258273: find three consecutive numbers where the product of the smaller two numbers is 40 less than the square of the largest number
1 solutions

Answer 190135 by richwmiller(9135) About Me  on 2010-01-18 23:30:54 (Show Source):
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x*(x+1)=-40+(x+2)^2
x=12
13, 14


Quadratic_Equations/258286: what is 6x^2 + 10x?
1 solutions

Answer 190134 by richwmiller(9135) About Me  on 2010-01-18 23:27:22 (Show Source):
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6x^2 + 10x
2x(3x+5)


Linear_Equations_And_Systems_Word_Problems/258124: Ryan and Juan collect baseball cards. Together they have 880 cards. Juan has 125 less than twice as many as Ryan. How many cards does each have? Write a system of equations and solve.
1 solutions

Answer 190133 by richwmiller(9135) About Me  on 2010-01-18 23:26:04 (Show Source):
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r+j=880
j=2r-125
j = 545, r = 335


Graphs/258213: write the standard form of the equation of the line that is perpendicular to the graph of the given equation and passes through the point with the given coordinates.
x=-8; (4,-6)
1 solutions

Answer 190132 by richwmiller(9135) About Me  on 2010-01-18 23:23:49 (Show Source):


Money_Word_Problems/258272: About how many years will it take for $6,000 to double at a simple interest rate of 2.25%?
1 solutions

Answer 190131 by richwmiller(9135) About Me  on 2010-01-18 23:20:03 (Show Source):
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i=prt
6000=6000*.0225*t
44.444 years


Miscellaneous_Word_Problems/258284: On Sunday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Sunday?
1 solutions

Answer 190130 by richwmiller(9135) About Me  on 2010-01-18 23:15:13 (Show Source):
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Sorry but not enough info.


Polynomials-and-rational-expressions/258285: Solve the following equation for x. show work
4x^2+12x+9=16
1 solutions

Answer 190129 by richwmiller(9135) About Me  on 2010-01-18 23:13:37 (Show Source):
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(2x+3)^2 = 16


Miscellaneous_Word_Problems/258259: My question is you have a solution that is 90% and one that is 50%. How much of each do you need to make a 70% solution?
Thanks for your help.
Faye
1 solutions

Answer 190127 by richwmiller(9135) About Me  on 2010-01-18 23:11:09 (Show Source):
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It depends on how much you have of each one (90% and 50%) and how much you want of the 70%


Proportions/258283: how to solve proportion?

1 solutions

Answer 190126 by richwmiller(9135) About Me  on 2010-01-18 23:05:45 (Show Source):
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How to answer your question?
How about an example?