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Quadratic_Equations/518331: 3x^4-31x^2+28 SOLVE
1 solutions

Answer 345126 by richwmiller(9143) About Me  on 2011-10-20 08:36:29 (Show Source):
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There is nothing to solve. Equations are solved. There is no equal sign therefore there is no equation.


Travel_Word_Problems/518333: The Yankee Clipper leaves the pier at 9:00 a.m. at 8 knots. A half hour later , The River Rover leaves the same pier in the same direction traveling 10 knots . At what time will the River Rover overtake the Yankee Clipper?

1 solutions

Answer 345125 by richwmiller(9143) About Me  on 2011-10-20 08:32:58 (Show Source):
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r*t=d
8t=10*(t-.5)
8t=10t-5
5=2t
2.5=t
They will meet at 11:30 am


Money_Word_Problems/518341: At the central Perk coffee shop, Destiny sold 30 more cups of cappuccino than expresso, for a total of 178.50 worth of expresso and cappuccino. How many cups of each were sold if expresso cost 2.00 per cup and cappuccino cost 2.50 per cup?
1 solutions

Answer 345124 by richwmiller(9143) About Me  on 2011-10-20 08:27:58 (Show Source):
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2e+2.5c=178.5
e+30=c
2e+2.5(e+30)=178.5
2e+2.5e+2.5*30=178.5
4.5e+75=178.5
4.5e=103.5
e=103.5/4.5
e=23
c=53
check
46+2.5*53=178.5
2.5*53=132.5
106+26.5=132.5
ok


Numbers_Word_Problems/518342: twice a number decreased by 8 is 26
1 solutions

Answer 345123 by richwmiller(9143) About Me  on 2011-10-20 08:20:00 (Show Source):


Permutations/518160: A computer lab has 10 computers. How many ways can the computers be assigned to a group of 15 students?
1 solutions

Answer 345100 by richwmiller(9143) About Me  on 2011-10-19 22:58:14 (Show Source):
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any of the 15 could go to the first computer
now there are 14
any of the 14 could go to the second computer
etc
5 can go to the 10 th computer
15*14*13*12*11*10*9*8*7*6*5


Mixture_Word_Problems/518228: Could you please help me solve this word problem?:
You are given $3.45 in change, however the cash register only has dimes and quarters. You receive a total of 15 coins back. How many dimes do you receive?
1 solutions

Answer 345099 by richwmiller(9143) About Me  on 2011-10-19 22:52:56 (Show Source):
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d+q=15
10d+25q=345


Mixture_Word_Problems/518226: I need help with a word problem on my assignment:
A nut wholesaler sells cashews for $3.50 a pound, and peanuts for $2 a pound. If he was going to create a 60 pound mixture to sell for $3 a pound, how many cups of each type of nuts would he need?
1 solutions

Answer 345098 by richwmiller(9143) About Me  on 2011-10-19 22:50:51 (Show Source):
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3.5c+2p=60*3
c+p=60
c=40
p=20


Numbers_Word_Problems/518205: The sum of two numbers is 17 and their different is 9
1 solutions

Answer 345097 by richwmiller(9143) About Me  on 2011-10-19 22:47:14 (Show Source):
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x+y=17
x-y=9
add
2x=26
x=13
13+y=17
y=4


Rational-functions/518161: PLEASE be so kind as to help with this.
w + x + y + z= 7
2w -x + y -z = -10
w + x -2y + z = 16
-w + x -y + 2z = 15
1 solutions

Answer 345096 by richwmiller(9143) About Me  on 2011-10-19 22:44:26 (Show Source):
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w = 1, x = 5, y = -3, z = 4


Quadratic_Equations/518209: A swimming pool 6m wide and 10m long is to be surrounded by a cement path of uniform width. The area of the walk is equal to the area of the pool. What is the width of the path?
1 solutions

Answer 345092 by richwmiller(9143) About Me  on 2011-10-19 22:36:39 (Show Source):
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area of the pool is 60 m^2
area of the walk is 60 m^2
(6+x)*(10+x)=120
x^2+16x+60 = 120
solve for x
unfortunately the x's are not integers.
x=3.13553


Polynomials-and-rational-expressions/518050: Is this equation correct: (xy)³ = xy³ ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right?
1 solutions

Answer 345023 by richwmiller(9143) About Me  on 2011-10-19 19:11:08 (Show Source):
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It depends on the value of x and y.
In general, the left side will not equal to the right side.
left side says to multiply x and y and then cube it.
right side says to cube y and then multiply by x
take some examples
let x=2 and y=3
6^3=
6*36=2*3^3
6*36=2*3*3*3
6*36=6*9
which is obviously not true.
to make it correct you must make the left side equal the right side.



Mixture_Word_Problems/518029: How much water must be added to 300 L of a solution so that its concentration may change from 25% to 20%?
1 solutions

Answer 345021 by richwmiller(9143) About Me  on 2011-10-19 18:56:08 (Show Source):
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from the point of view of the water
.75*300+x=.80*(300+x)
x=75
add 75 liters of water


Expressions-with-variables/517815: how do i solve for: 7a,for a = 465
1 solutions

Answer 344938 by richwmiller(9143) About Me  on 2011-10-19 13:18:25 (Show Source):


Travel_Word_Problems/517790: two trains leave stations 224 miles apart at the same time and travel toward each other. one train travels at 80 miles per hour while the other travels at 60 miles per hour. how long will it take for the two trains to meet?
1 solutions

Answer 344934 by richwmiller(9143) About Me  on 2011-10-19 13:02:41 (Show Source):
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60t+80t=224
140t=224
t=224/140
t=1.6 hrs
t=1 3/5 hrs
t=1 hour 36 minutes


Quadratic_Equations/517797: B will take 3 days longer than A to complete a piece of work. If they together can complete the work in two days. Find the time each alone will take to complete the work.

1 solutions

Answer 344931 by richwmiller(9143) About Me  on 2011-10-19 12:53:04 (Show Source):
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b=a+3
(2/a)+(2/(a+3))=1
a=3
b=6
check
2/3+2/6=1
2/3+1/3=1
1=1
ok


Travel_Word_Problems/517798: Anne walked 3.2 kilometers. How many meters did Anne walk?
1 solutions

Answer 344924 by richwmiller(9143) About Me  on 2011-10-19 12:43:43 (Show Source):
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3.2*1000=
3200


Geometry_Word_Problems/517791: A rectangular swimming pool 10 feet by 28 feet is surrounded by a concrete walkway of uniform width of X feet. If the area of the walkway is 864 square feet, find the width of the walkway.
1 solutions

Answer 344923 by richwmiller(9143) About Me  on 2011-10-19 12:41:49 (Show Source):
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The pool has an area of 280 sq ft.
(10+x)*(28+x)=280+864=1144
(10+x)*(28+x)=1144
x^2+38x+280 = 1144
x^2+38x-864 = 0
x=-54, x=16
walkway is 16 ft wide
check
26*44=1144
ok



Linear-equations/517759: I have two kids i need to get to school.Both start at 7:50. One takes the bus the other I drive to school. I need to take the first one early so i can make it back to my second to catch the bus on time by 7:30
1 solutions

Answer 344920 by richwmiller(9143) About Me  on 2011-10-19 12:25:36 (Show Source):
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That's nice.
Have the other one take a bus too.


Travel_Word_Problems/517775: a Tour bus leaves Sacramento every Friday evening at 5 pm for a 170 mile trip. this week however the bus leaves at 5:30 pm. to arrive on time , the driver drives 9 miles per hour faster than usual what is the buses usual speed? please show work
1 solutions

Answer 344917 by richwmiller(9143) About Me  on 2011-10-19 12:17:30 (Show Source):
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r*t=d
r*t=170
(r+9)*(t-.5)=170
r=51
r+9=60
60*(t-.5)=170
60t-30=170
60t=200
divide by 20
3t=10
t=10/3=3 hrs 20 minutes
or
51t=170
t=170/51=3.333


Radicals/517768: please help me solve this.
Find the quotient and remainder
(x^2+8x-7)/(x-2)
1 solutions

Answer 344906 by richwmiller(9143) About Me  on 2011-10-19 11:53:41 (Show Source):
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x+10 remainder of 13


Linear-systems/517773: A grocer mixes cashews and almonds. A mixture of 4 pounds of cashews and 6 pounds of almonds cost $62. A mixture of 2 pounds of cashews and 8 pounds of almonds cost $54. What is the cost per pound of cashew and almonds?
Graphically?
1 solutions

Answer 344901 by richwmiller(9143) About Me  on 2011-10-19 11:48:32 (Show Source):
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4c+6a=62
2c+8a=54
multiply by 2
4c+16a=108
4c+6a=62
subtract
10a= 46
a=$4.60 per lb
2c+8*4.6=54
2c=17.2
c=$8.60 per lb





Linear_Equations_And_Systems_Word_Problems/517776: The sum of two numbers is 92. The first number is four more than three times the second number. Find the two number
1 solutions

Answer 344896 by richwmiller(9143) About Me  on 2011-10-19 11:37:24 (Show Source):
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x+y=92
x=4+3y
4+3y+y=92
4y=88
y=22
x=70
check
70=4+3*22
70=4+66
70=70
ok


Mixture_Word_Problems/517719: how many ounces of 45% alcohol has to be mixed with 14 ounces of 50% alcohol to make 47% alcohol?
1 solutions

Answer 344890 by richwmiller(9143) About Me  on 2011-10-19 10:19:55 (Show Source):
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.45x+.5*14=.47(x+14)
x=21


Expressions-with-variables/517727: Three consecutive integers such that the sum of the smallest and three times the largest is 66 ???
1 solutions

Answer 344887 by richwmiller(9143) About Me  on 2011-10-19 10:11:39 (Show Source):
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x+3*(x+2)=66
4x+6=66
4x=60
x=15
x+1=16
x+2=17


Word_Problems_With_Coins/517697: A child's bank contains $6.30 in dimes and quarters. There are twice as many dimes as quarters. How many of each kind of coin are in the bank?
1 solutions

Answer 344885 by richwmiller(9143) About Me  on 2011-10-19 10:01:08 (Show Source):
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d=2q
10d+25q=630
10*2q+25q=630
20q+25q=630
45q=630
q=14
d=28
check
14*25=250+100=350
10*28=280
350+280=630
ok


Numbers_Word_Problems/517471: The sum of three consecutive numbers is –15. What is the SMALLEST number?
1 solutions

Answer 344792 by richwmiller(9143) About Me  on 2011-10-18 21:03:58 (Show Source):
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x+x+1+x+2=-15
3x+3=-15
3x=-18
x=-6
x+1=-5
x+2=-4
check
-6-5-4=-15
ok
smallest is -6


Rate-of-work-word-problems/517460: Please, I need help setting this prob up...this is college pre-algebr extra credit.
Painter A paints a house in 3 days
Painter B paints a house in 5 days
How long would it take if they painted together?
So I know it takes B 2 more days than A so is it something like B+2=?? or 1/3+1/5=X
1 solutions

Answer 344788 by richwmiller(9143) About Me  on 2011-10-18 20:59:40 (Show Source):
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close
We know it has to be less than 3 days since painter a can do it alone in three days.
x/3+x/5=1
Why 1?
One is the whole job.
In one day painter a does 1/3 of the job and painter b does 1/5 of the job.
In x days painter a does x/3 and painter b does x/5 of the job.
5x+3x=15
8x=15
x=15/8
x=1 7/8 days
Assuming a work day is 8 hours, it will take 15 hours together.


expressions/517456: I'm not sure how to solve this:
Write an equation and solve.
Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the less even integer. What are the integers?
1 solutions

Answer 344783 by richwmiller(9143) About Me  on 2011-10-18 20:49:04 (Show Source):
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The integers are x and x+2
3*(x+2)=x-10
3x+6=x-10
subtract x from both sides
subtract 6 from both sides
2x=-16
x=-8
-8+2=-6
check
3*(-6)=-8-10
-18=-18
ok


Linear-equations/517450: (2,3) and (0,-7} equation y= How do I solve this problem?
1 solutions

Answer 344779 by richwmiller(9143) About Me  on 2011-10-18 20:41:17 (Show Source):
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There is no problem.
You didn't say what (2,3) and (0,-7) are.
There is no question.
Perhaps, you want to ask for the equation of a line going through two points (2,3) and (0,-7).
But you didn't.
We are not mind readers.


Human-and-algebraic-language/517437: Six candles and 4 vases cost $54. However, 3 candles and 10 vases cost $87. Find the cost of one candle.
1 solutions

Answer 344777 by richwmiller(9143) About Me  on 2011-10-18 20:36:53 (Show Source):
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6c+4v=54
3c+10v=87
6c+20v=174
6c+4v=54
16v=120
4v=30
2v=15
v=7.5 dollars
6c+4*7.5=54
6c=24
c=4
candles cost 4 dollars each.



Numbers_Word_Problems/517428: The difference of the squares of two numbers is 10. The difference of the two numbers is 2. What is their sum?
1 solutions

Answer 344769 by richwmiller(9143) About Me  on 2011-10-18 20:20:13 (Show Source):
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x^2-y^2=10
x-y=2
(x+y)*(x-y)=10
(x+y)*2=10
x+y=5
x-y=2
2x=7
x=3.5
3.5-y=2
y=1.5