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Recent problems solved by 'rwm'

rwm answered: 913 problems
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Equations/462062: A motorboat leaves Galveston, TX. One-half hour after the boat leaves, a second boat leaves Galveston following the first boat. The first boat is traveling at 25 mph, while the second boat travels at 35 mph. How long will it take the second boat to over take the first boat?
1 solutions

Answer 316794 by rwm(914) About Me  on 2011-06-17 14:33:36 (Show Source):
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basically the first boat got ahead by 12.5 miles
the second boat gains on the first boat at 10 mph.
how long will it take the second boat to go 12.5 miles gaining at 10 mph
r*t=d
25*(t+1/2)=35t
25t+12.5=35t
12.5=10t
1.25=t
1 hour 15 minutes



Travel_Word_Problems/461982: A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.
1 solutions

Answer 316753 by rwm(914) About Me  on 2011-06-17 08:57:37 (Show Source):
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.8*30*1/1000 =.024 km


Linear-equations/461913: the value v of a shopkeepers inventory software program, in hundreds of dollars is given by:
v=(-3/4)t+6
where t is the number of years since the shopkeeper first bought the program.
Graph the equation and use the graph the estimate what the program is worth 4 years after it was first purchased.
Tell me where to graph the numbers and i can do it on my own graph
1 solutions

Answer 316752 by rwm(914) About Me  on 2011-06-17 08:50:10 (Show Source):
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plot t as if it were x
and v as if it were y


Travel_Word_Problems/461914: At 2:00 p.m. Jason & Sharon drive (without stops) in the same direction @ 60 miles/hour and 56 miles/hour, respectively, to visit Gertrude in Baton Rouge. @ 2:45 p.m. Jason passes Sharon. How many miles is the gap between Jason and Sharon?
1 solutions

Answer 316751 by rwm(914) About Me  on 2011-06-17 08:44:39 (Show Source):
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Gap ? There is no gap. Jason just passed Sharon.
Gap at what time?


Mixture_Word_Problems/461979: A chemist wants to mix some pure acid with some water to produce 16 L of a solution that is 30% acid. How much pure acid and how much water should be mixed?
1 solutions

Answer 316750 by rwm(914) About Me  on 2011-06-17 08:31:06 (Show Source):
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.3*16 = 4.8 L acid
.7*16 = 11.2 L water


Travel_Word_Problems/461917: Zipporah and Joshua ride their bikes in opposite directions: Zipporah @ 28 miles/hour and Joshua @ 24 miles/hour. In 15 miles, How many miles will they be apart?
1 solutions

Answer 316749 by rwm(914) About Me  on 2011-06-17 08:21:35 (Show Source):
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15
I suspect you made an error.
RE read your question


Geometry_Word_Problems/461959: Business and finance. Seven employees of an office donated a total of $172.06 during a charity drive. What was the average donation?
1 solutions

Answer 316748 by rwm(914) About Me  on 2011-06-17 08:05:59 (Show Source):


Mixture_Word_Problems/461978: How many liters of water must be added to 50 L of a 30% acid solution in order to produce a 20% acid solution?
1 solutions

Answer 316747 by rwm(914) About Me  on 2011-06-17 07:57:38 (Show Source):
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.30*50=.2*(50+x)
x=25


Money_Word_Problems/461945: $19187 is invested, part at 9% and the rest at 8%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 8% by $417.15, how much is invested at each rate?
1 solutions

Answer 316746 by rwm(914) About Me  on 2011-06-17 07:50:39 (Show Source):
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x+y=19187
.09x-.08y=417.15
x=11483.
y=7704.


Quadratic_Equations/461813: 1. 2x^2+5x-3=0

1 solutions

Answer 316622 by rwm(914) About Me  on 2011-06-16 16:39:24 (Show Source):
You can put this solution on YOUR website!
One problem ata time.
Really? Yes, you are not the only one who wants urgent help.
2x^2+5x-3=0
you want factors of -6 that add up to 5
6 and -1
2x^2+6x-1x-3=0
2x*(x+3)-1*(x+3)=0
(2x-1)*(x+3)=0
x=1/2
x=-3
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B5x%2B-3+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%285%29%5E2-4%2A2%2A-3=49.

Discriminant d=49 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-5%2B-sqrt%28+49+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%285%29%2Bsqrt%28+49+%29%29%2F2%5C2+=+0.5
x%5B2%5D+=+%28-%285%29-sqrt%28+49+%29%29%2F2%5C2+=+-3

Quadratic expression 2x%5E2%2B5x%2B-3 can be factored:
2x%5E2%2B5x%2B-3+=+2%28x-0.5%29%2A%28x--3%29
Again, the answer is: 0.5, -3. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B5%2Ax%2B-3+%29



Linear-systems/461823: solve by elimination
4x+5y=5
8x+10y=10
Am i suppose to put this into y=mx+b form ?
1 solutions

Answer 316621 by rwm(914) About Me  on 2011-06-16 16:32:20 (Show Source):
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no multiply the first by 2 and you will see that it is the same as the second.
They are the same line.
So there are infinite solutions to this .
All x's and y's match.


Geometry_Word_Problems/461819: if two angles of a triangle are equal ant the measure of the thrd angle is 4 degress less than twice of eache of the other angels what is the measure of the largest angle?
1 solutions

Answer 316619 by rwm(914) About Me  on 2011-06-16 16:27:37 (Show Source):
You can put this solution on YOUR website!
2x-4+2x=4x-4=180
2x-2=90
x-1=45
x=46
2x-4=92-4=88
46+46+88=180


Quadratic_Equations/461800: Hi
I hate to bother you all again but this morning I asked help in this problem and no one has answered me, please someone help me.
1 solutions

Answer 316611 by rwm(914) About Me  on 2011-06-16 15:32:42 (Show Source):
You can put this solution on YOUR website!
Do not submit the same problem in more than one category nor twice in 24 hours.
you are not the only one here.
I saw your problem but bypassed it because it isn't clear what are the numerators and denominators.
We are not mind readers.
Use plenty of parentheses or graphics to clarify.
If you wish to send me the problem with clarifications, I will take a look.


Linear_Equations_And_Systems_Word_Problems/461796: Please help with this problem.
Ricks Pain Store sells a special shade of paint (Rick's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
I have no idea to where to begin. When I read the problem I wrote this down....
R= red paint
W= white paint
3R + W = 264
1 solutions

Answer 316605 by rwm(914) About Me  on 2011-06-16 15:21:36 (Show Source):
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close but not quite
r=3w
r+w=264
3w+w=264
4w=264
contimue


Square-cubic-other-roots/461783: How to find the square root of 108 minus the square root of 48
1 solutions

Answer 316601 by rwm(914) About Me  on 2011-06-16 15:13:12 (Show Source):
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sqrt(108)+sqrt(48)
sqrt(9*12)+sqrt(4*12)
3sqrt(12)+2sqrt(12)
6 sqrt(12)
6 sqrt(4*3)=12 sqrt(3)


Square-cubic-other-roots/461787: How to solve square root of 32 plus the square root of 72
1 solutions

Answer 316598 by rwm(914) About Me  on 2011-06-16 15:07:12 (Show Source):
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sqrt(32)+sqrt(72)=
sqrt(2*4^2)+sqrt(2*6^2)
4*sqrt(2)+6*sqrt(2)
10*sqrt(2)


Equations/461780: Please answer this question:
Factor: 21xt-6t-49xu+14u
Thanks!!
1 solutions

Answer 316596 by rwm(914) About Me  on 2011-06-16 15:02:24 (Show Source):
You can put this solution on YOUR website!
3t *(7x-2)-7u*(7x-2)
(3t-7u)*(7x-2)


Evaluation_Word_Problems/461775: Please answer this question, It says to just solve the problem:
4 over 5x equals 4 over x plus 8
or in other words: __4__ = __4__
5x x+8
Thanks!!
1 solutions

Answer 316593 by rwm(914) About Me  on 2011-06-16 14:55:42 (Show Source):
You can put this solution on YOUR website!
4/(5x)=4/(x+8)
means 5x=x+8
subtract x
4x=8
x=2


Linear_Equations_And_Systems_Word_Problems/461736: Jenny has 8 books overdue at the library. She remembers that she checked out 3 math books 2 weeks before she checked out 5 children's books. The daily fine per book is $0.15. If her total fine was $9.90, how long was each book overdue?
1 solutions

Answer 316592 by rwm(914) About Me  on 2011-06-16 14:50:55 (Show Source):
You can put this solution on YOUR website!
already answered this
3 and 17


Polynomials-and-rational-expressions/461738: which expression is equivalent to 5x/6y?
A) 4x/3 + 1/2y
B) 5xy-10x/6y^2 + 12y
C) 8x/6y^2 - 3x/6y
D) 5/y / 6/x
1 solutions

Answer 316591 by rwm(914) About Me  on 2011-06-16 14:43:45 (Show Source):


Linear_Equations_And_Systems_Word_Problems/461741: "Jenny has 8 books overdue at the library. She remembers that she checked out 3 math books two weeks before she checked out 5 children's books. The daily fine per book is $0.15. If her total fine was $9.90, how long was each book overdue?
1 solutions

Answer 316587 by rwm(914) About Me  on 2011-06-16 14:35:43 (Show Source):
You can put this solution on YOUR website!
3*(x+14)*15 +5x*15=990
x=3 days children
x+14=17 days math


Graphs/461756: Hello,
I'm having difficulties setting up this word problem:
Sam bought 50 stamps at 14 and 22 cents each. He paid the postal clerk
$10.04. How many 22-cent stamps did he buy?
I tried to set the problem up like this:

x+y=50 letting the x=14 and y=22
y=x-50
14x + 22y = 50
14x + 22(50-x)=50
14x + 1100 -22x = 50
-8x = -1050
-8x/-8 = -1050/8
x= 131.25
Not sure where I went wrong. I appreciate any help. Thank you.
1 solutions

Answer 316585 by rwm(914) About Me  on 2011-06-16 14:30:24 (Show Source):
You can put this solution on YOUR website!
x+y=50
let x=14cent stamps and y=22 cent stamps
x+y=50
14x + 22y = 1004
try again


Inequalities/461742: x^2 + 6x – 27 = 0 solve for X
1 solutions

Answer 316584 by rwm(914) About Me  on 2011-06-16 14:23:58 (Show Source):
You can put this solution on YOUR website!
There is no X in the equation.
This is math and math is precise.
X is not the same as x.
BTW no similar problems.


Inequalities/461743: x^2 + 6 = -5x Solve for X
1 solutions

Answer 316583 by rwm(914) About Me  on 2011-06-16 14:23:10 (Show Source):
You can put this solution on YOUR website!
There is no X in the equation.
This is math and math is precise.
X is not the same as x.
BTW no similar problems.


Inequalities/461746: x2 – 9 = 0 Solve for X
1 solutions

Answer 316582 by rwm(914) About Me  on 2011-06-16 14:21:54 (Show Source):
You can put this solution on YOUR website!
There is no X in the equation.
This is math and math is precise.
X is not the same as x.


Inequalities/461737: Solve each problem for x:
#6 (x – 3)(2x – 7) = 0

1 solutions

Answer 316579 by rwm(914) About Me  on 2011-06-16 13:20:46 (Show Source):
You can put this solution on YOUR website!
one problem per post and no similar problems
(x – 3)(2x – 7) = 0
x=3
x=7/2


Probability-and-statistics/461728: I just need someone to tell me if I did these correctly before I submit my homework.
7. Of the 100 people who were given a new sleeping aid, 30 experienced a light headache, 18 experienced a reduced appetite, and 60 experienced neither side-effect. How many people experienced both a light headache and a reduced appetite?
60-48= 12?
8. A quiz consists of 6 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if one answer is chosen for each question?
3^6?
9. A code consists of two letters chosen from the English alphabet, followed by 4 digits. If the first letter must be a K or an M, the second letter can be any one of the 26 letters, how many different codes are possible?
I dont know how to even set this one up...
10. In how many ways can two math books and three English books be arranged in a row if the two math books must be placed next to each other?
2^3?
1 solutions

Answer 316576 by rwm(914) About Me  on 2011-06-16 13:13:39 (Show Source):
You can put this solution on YOUR website!
9)
k or m means there are two choices
2*26*10^4


Numeric_Fractions/461732: How would you sketch the fraction 12/8?
In the problem we are asked to visually show through a drawing how the fractions 2/3 and 12/8 are equal. Please Help!
I would greatly appreciate it!!! Some of the problems show a context that we could use for our drawings. For example one had Popsicle sticks, marbles, and for this problem we have to make one of our own. I already sketched 2/3 using flowers as the context.
1 solutions

Answer 316575 by rwm(914) About Me  on 2011-06-16 13:08:32 (Show Source):
You can put this solution on YOUR website!
they are not equal


Inequalities/461731: Factor each problem completely. Remember to place the Greastest Common Factor, if it’s other than 1, outside parentheses first.
2x^2 + 40x + 200
1 solutions

Answer 316573 by rwm(914) About Me  on 2011-06-16 13:04:33 (Show Source):
You can put this solution on YOUR website!
factor 2 first
x^2+20x+100
find factors of 100 which add up to 20
10 and 10
2*(x+10)^2


Inequalities/461717: 15x^2 + 7x – 2 Solve
1 solutions

Answer 316571 by rwm(914) About Me  on 2011-06-16 13:00:54 (Show Source):
You can put this solution on YOUR website!
Can't be solved.
It is not an equation nor inequality.
Reword your question.


Inequalities/461719: 2x^2 + 40x + 200 Solve
1 solutions

Answer 316569 by rwm(914) About Me  on 2011-06-16 12:55:15 (Show Source):
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Can't be solved.
It is not an equation nor inequality