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Alan3354 answered: 30929 problems
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Radicals/512453: what is the product of square root of 3a and cube root of 3a?
1 solutions

Answer 342630 by Alan3354(30949) About Me  on 2011-10-10 14:48:44 (Show Source):
You can put this solution on YOUR website!
what is the product of square root of 3a and cube root of 3a?
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It's just that. If you want to put it in one radical, tho,
sqrt%283a%29%2Aroot%283%2C3a%29+=+root%286%2C%283a%29%5E3%29%2Aroot%286%2C%283a%29%5E2%29
= root%286%2C%283a%29%5E5%29+=+root%286%2C243a%5E5%29


Linear-equations/512447: Write the equation of a line first in double intercept form that passes through the points (0,3) and (5,0). Then, convert this equation to general form.
1 solutions

Answer 342629 by Alan3354(30949) About Me  on 2011-10-10 14:37:28 (Show Source):
You can put this solution on YOUR website!
Write the equation of a line first in double intercept form that passes through the points (0,3) and (5,0). Then, convert this equation to general form.
-------------
3x + 5y = 15
------
When you're given both intercepts, (0,A) and (B,0),
it's Ax + By = A*B
--------------------------
Also, the distance from the Origin to the line is
A%2AB%2Fsqrt%28A%5E2+%2B+B%5E2%29 in case anyone asks.


Travel_Word_Problems/512442: A car traveled 120 miles on paved highways before traveling 40 miles on dirt roads. The car went three times faster on the paved roads than on the dirt roads. The total time spent traveling was four hours. What was the Car's speed on the paved roads and on the dirt roads?
1 solutions

Answer 342628 by Alan3354(30949) About Me  on 2011-10-10 14:33:49 (Show Source):
You can put this solution on YOUR website!
A car traveled 120 miles on paved highways before traveling 40 miles on dirt roads. The car went three times faster on the paved roads than on the dirt roads. The total time spent traveling was four hours. What was the Car's speed on the paved roads and on the dirt roads?
----------------
3 times faster is 4 times as fast.
----
120/4r + 40/r = 4
30 + 40 = 4r
r = 70/4 = 17.5 mi/hr on unpaved
--> 70 mi/hr on paved road
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PS Some think "3 times faster" is 3 times as fast. If so, then what is 1 time faster, or 100% faster? If they're equal, why is it called faster? I had an argument with 2 NASA guys about that, they lost.
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These are the same people who say "same difference" when talking of only 2 objects, or "we'll be there momentarily" when they mean soon.


Rectangles/512353: how do you sketch a rectangle with a length of 5 and a width of 3

1 solutions

Answer 342607 by Alan3354(30949) About Me  on 2011-10-10 11:55:59 (Show Source):
You can put this solution on YOUR website!
I would use a pencil and graph paper


Numbers_Word_Problems/512303: The sum of two consecutive numbers is 49, the product of the two numbers is 580, what are the consecutive numbers?
This was a question on a practice paper, we feel the product is wrong and think it should be 600, thus making the answer 24 and 25, is this correct? Many thanks in advance.
1 solutions

Answer 342596 by Alan3354(30949) About Me  on 2011-10-10 10:51:30 (Show Source):
You can put this solution on YOUR website!
The sum of two consecutive numbers is 49, the product of the two numbers is 580, what are the consecutive numbers?
The numbers are 24 & 25.
------------
This was a question on a practice paper, we feel the product is wrong and think it should be 600, thus making the answer 24 and 25, is this correct? Many thanks in advance.
------------
There's no solution that fits the product being 580. It's 600


Graphs/512281: What point below is on the line below Y=4x=2
A)(1,5) B) (-1,-2) D) (-1,0)
1 solutions

Answer 342593 by Alan3354(30949) About Me  on 2011-10-10 10:28:40 (Show Source):
You can put this solution on YOUR website!
Y=4x=2
-------
Too many equal signs.


Polynomials-and-rational-expressions/512296: Which value of p is the solution of 5p-1=2b+30
1 solutions

Answer 342592 by Alan3354(30949) About Me  on 2011-10-10 10:27:31 (Show Source):
You can put this solution on YOUR website!
Which value of p is the solution of 5p-1=2b+30
-----------
If you mean solve for p:
Add 1
Divide by 5


Travel_Word_Problems/512286: if a boat is traveling 90 km per hour and it travels for 30 mins. what is the distance the boat travels
1 solutions

Answer 342591 by Alan3354(30949) About Me  on 2011-10-10 10:23:30 (Show Source):
You can put this solution on YOUR website!
d = r*t
t = 0.5 hours


Linear-equations/512290: graph the line passing through the given point and having the given slope through (0,4)m=1/6
1 solutions

Answer 342590 by Alan3354(30949) About Me  on 2011-10-10 10:14:33 (Show Source):
You can put this solution on YOUR website!
y = (1/6)x + 4
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ooops, I thought it said write the equation.


Graphs/512115: Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Center C(−4, 6), passing through P(1, 2)
1 solutions

Answer 342536 by Alan3354(30949) About Me  on 2011-10-09 22:15:53 (Show Source):


Equations/512122: Can you help me solve this problem please!!!
3/4-(a-2)-1/3(5-2a)=-2
1 solutions

Answer 342535 by Alan3354(30949) About Me  on 2011-10-09 22:14:49 (Show Source):
You can put this solution on YOUR website!
3/4-(a-2)-1/3(5-2a)=-2
3/4 -a+2 - 1/3(5-2a)=-2
Multiply by 12
9 - 12a + 24 - 4(5-2a) = -24
33 - 12a - 20 + 8a = -24
13 - 4a = -24
-4a = -37
a = 37/4


Inverses/512108: Why does finding the reciprocal of the second number, when dividing, work?
1 solutions

Answer 342533 by Alan3354(30949) About Me  on 2011-10-09 22:12:24 (Show Source):
You can put this solution on YOUR website!
Dividing by a is the same as multiplying by 1/a


Graphs/512116: Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Center C(−4, 6), passing through P(1, 2)
1 solutions

Answer 342530 by Alan3354(30949) About Me  on 2011-10-09 22:08:30 (Show Source):
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The radius is the distance between the points.
Then it's %28x%2B4%29%5E2+%2B+%28y-6%29%5E2+=+r%5E2


Travel_Word_Problems/512119: A car travels at an average speed of 56 miles per hour. How many miles does it travel in 5 hours and 45 minutes?
1 solutions

Answer 342528 by Alan3354(30949) About Me  on 2011-10-09 22:06:32 (Show Source):


logarithm/512038: Evaluate the expression. Log1/5 125=
1 solutions

Answer 342503 by Alan3354(30949) About Me  on 2011-10-09 20:58:51 (Show Source):
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log(125)/log(0.2) = -3


Geometry_Word_Problems/512004: IF the surface area of a sphere is 20 square centimeters, what is the radius?
1 solutions

Answer 342502 by Alan3354(30949) About Me  on 2011-10-09 20:57:37 (Show Source):


Miscellaneous_Word_Problems/382304: solve.
henry runs at a speed of 10mph and doug at a speed of 8mph henry gives doug a half mile head start. how long will it take henry to catch doug?
show all work please
1 solutions

Answer 342501 by Alan3354(30949) About Me  on 2011-10-09 20:56:13 (Show Source):
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henry runs at a speed of 10mph and doug at a speed of 8mph henry gives doug a half mile head start. how long will it take henry to catch doug?
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Henry gains on Doug at 2 mph (10 - 8).
(1/2)/2 = 1/4 hour


Linear_Algebra/512062: 1/2x^3+1
1 solutions

Answer 342499 by Alan3354(30949) About Me  on 2011-10-09 20:54:33 (Show Source):
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Do you have a question?


Travel_Word_Problems/512054: what is the average speed of car that travels 180x km in 2 hours?

1 solutions

Answer 342498 by Alan3354(30949) About Me  on 2011-10-09 20:53:28 (Show Source):
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d = r*t
r = d/t


Numbers_Word_Problems/511973: How do i do this problem?:
Find 3 consecutive odd integers such that the sum of the least and greatest is 78
1 solutions

Answer 342472 by Alan3354(30949) About Me  on 2011-10-09 18:41:14 (Show Source):
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Find 3 consecutive odd integers such that the sum of the least and greatest is 78
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They're n-2, n & n+2
(n-2) + (n+2) = 78


test/511810: A cube 20 cm on one side contains how many liters?
1 solutions

Answer 342418 by Alan3354(30949) About Me  on 2011-10-09 14:17:15 (Show Source):
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Vol = 20*20*20 cc = 8000 cc
= 8 liters


expressions/511813: -12+(-14)+27
if you had to simplify, why wouldnt the answer be 20(-14) instead of 6? because isnt 6 actually solving it?
1 solutions

Answer 342417 by Alan3354(30949) About Me  on 2011-10-09 14:16:09 (Show Source):
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-12+(-14)+27
= -12 - 14 + 27
= -26 + 27
= 1


Travel_Word_Problems/511815: can someone please help?

dalia lives 30 miles north of her favorite radio station. while driving east from her home, she was able to keep the radio signal for about 40 miles. what is the broadcasting range of the radio station?
1 solutions

Answer 342416 by Alan3354(30949) About Me  on 2011-10-09 14:14:25 (Show Source):
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30 mi N and 40 mi East makes a right triangle with legs of 30 and 40.
Similar to the 3, 4, 5 right triangle, the hypotenuse is 50 miles.


Complex_Numbers/511726: Is this answer in standard form:
20+5isqrt(3)+4isqrt(2)-sqrt6
1 solutions

Answer 342379 by Alan3354(30949) About Me  on 2011-10-09 10:33:32 (Show Source):
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It can't be further simplified, if that's what you mean.
20%2B5i%2Asqrt%283%29%2B4i%2Asqrt%282%29-sqrt%286%29


Polygons/511707: in a regular polygon each interior angle is 140 degrees greater than each exterior angle.calculate the number of sides of the polygon.
1 solutions

Answer 342364 by Alan3354(30949) About Me  on 2011-10-09 08:53:07 (Show Source):
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in a regular polygon each interior angle is 140 degrees greater than each exterior angle.calculate the number of sides of the polygon.
------------
Int + Ext = 180
Ext + (Ext + 140) = 180
Ext = 20 degs
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n = 360/20 = 18 sides


Mixture_Word_Problems/511614: A chemist has four solutions of a very rare and expensive chemical that at 15% acid (cost $120 per ounce), 20% acid (cost $180 per ounce), 35% acid (cost $280 per ounce) and 45% acid (cost $359 per ounce). She requires 200oz of a 29% solution. Find the combination of any two of these concentrations that will minimize the total cost of the mix.
1 solutions

Answer 342332 by Alan3354(30949) About Me  on 2011-10-08 23:14:25 (Show Source):
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A chemist has four solutions of a very rare and expensive chemical that at 15% acid (cost $120 per ounce), 20% acid (cost $180 per ounce), 35% acid (cost $280 per ounce) and 45% acid (cost $359 per ounce). She requires 200oz of a 29% solution. Find the combination of any two of these concentrations that will minimize the total cost of the mix.
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120/15 = $8 per %
180/20 = $9
280/35 = $8
359/45 = $7.9777.. the least expensive.
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The average of 15% and 45% is 30%, close to 29% and the 2 least expensive.
----------
f = amount of 45%
t = amount of 15%
---
f + t = 200 (total mixture)
0.45f + 0.15t = 0.29*200
t = 200 - f
45f + 15t = 5800
45f + 15*(200-f) = 5800
45f + 3000 - 15f = 5800
30f = 2800
f = 93.333 of 45%
t = 106.667 of 15%
--------------------
I think it's the best fit, I'll check it tomorrow.
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Would have been a more interesting problem if any of the 4 could be used.


Geometry_Word_Problems/511619: pls.answer the question.please i nid it badly.each side of a square concrete platform is 8.7 meters long.the platform is 0.2 meter thick.compute the no.of cubic meter of concrete contained in the platform

1 solutions

Answer 342329 by Alan3354(30949) About Me  on 2011-10-08 23:06:03 (Show Source):
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Vol = L*W*H
Vol = 8.7*8.7*0.2
Vol = 15.138 cubic meters


real-numbers/511612: I cant solve this problem i have tried it many differnt wAYS...HERE IS THE PROBLEM:
4/5-10/12-5/6 divided by 14/8+10/21
1 solutions

Answer 342312 by Alan3354(30949) About Me  on 2011-10-08 22:14:09 (Show Source):
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%284%2F5-10%2F12-5%2F6%29%2F%2814%2F8%2B10%2F21%29
= %2848%2F60+-+50%2F60+-+50%2F60%29%2F%28294%2F168+%2B+80%2F168%29
= %28-52%2F60%29%2F%28374%2F168%29
= %28-52%2F60%29%2A%28168%2F374%29
= %28-13%2F15%29%2A%2884%2F187%29
= %28-13%2F5%29%2A%2828%2F187%29
= -364/935


Travel_Word_Problems/511473: What speed does a treadmill have to be set at to achieve a distance of 2200 feet
in a 6 minute timed walk? I am currrently able to walk 3.8 mph.
1 solutions

Answer 342258 by Alan3354(30949) About Me  on 2011-10-08 16:26:37 (Show Source):
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What speed does a treadmill have to be set at to achieve a distance of 2200 feet
in a 6 minute timed walk?
2200/6 = 366.67 ft/min
= 4.167 mi/hr


Linear-systems/511483: 8c=6j=5p
1 solutions

Answer 342256 by Alan3354(30949) About Me  on 2011-10-08 16:24:09 (Show Source):
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Equations/511443: what are two solutions for 1/4x+1/5y=1
1 solutions

Answer 342218 by Alan3354(30949) About Me  on 2011-10-08 11:39:55 (Show Source):
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The simplest way:
Find y when x = 0
Find x when y = 0