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Travel_Word_Problems/426820: A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing? 1 solutions
Answer 297159 by Alan3354(30993) on 2011-03-26 09:26:56 (Show Source):
You can put this solution on YOUR website!A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing?
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b = boat's speed relative to the water
c = current
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Upstream + downstream = 75 mins
600/(30 - c) + 600/(20 + c) = 75
One equation and one variable

(c-20)*(c+10) = 0
c = 20 m/min
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Quadratic_Equations/427178: The motion of an autombile acceleration away from traffic light is represented by the funcitond(t) = 9t^2, where t is the time in seconds and d(t) is the distanct covered by the automobile. Approximately how many seconds does it take for the automobile to travel 180 feet? 1 solutions
Answer 297156 by Alan3354(30993) on 2011-03-26 08:47:44 (Show Source):
You can put this solution on YOUR website!The motion of an autombile acceleration away from traffic light is represented by the funciton d(t) = 9t^2, where t is the time in seconds and d(t) is the distanct covered by the automobile. Approximately how many seconds does it take for the automobile to travel 180 feet?
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d(t) = 9t^2 = 180
t^2 = 20
t =~ 4.472 seconds
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Coordinate-system/427180: given the linear equation y=-4/7x-5 find the y- coordinates of the points (-7,),(0,), and (7,) plot those points and graph the linear equation 1 solutions
Answer 297153 by Alan3354(30993) on 2011-03-26 08:41:09 (Show Source):
You can put this solution on YOUR website!given the linear equation y=-4/7x-5 find the y- coordinates of the points (-7,),(0,), and (7,) plot those points and graph the linear equation
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Sub the values for x and find y.
I think you mean y = -(4/7)x - 5
@ x = -7, y = -4 - 5 = -9
@ x = 0, y = -5
Do the same for x = 7
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Get the FREE graph software at
http://www.padowan.dk
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Pythagorean-theorem/427243: If a rectangular TV screen is 45 cm long and and 32 cm wide, what is the diagonal measurement of the screen?
I tried 45^2 + 32^2 = X^2, but i am not sure this is the correct answer.
2025 + 1024 = X^2
sqrt ( 3049 ) = x
x = 55.22 cm long?
1 solutions
Answer 297146 by Alan3354(30993) on 2011-03-26 07:59:08 (Show Source):
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Radicals/427242: I am in a bit of a pickle and could sure use some help on this radical problem:
3( `sqrt(7)` + `sqrt(6)` ) + 2 ( `sqrt(6)` + `sqrt(7)` )
Can someone help? 1 solutions
Answer 297126 by Alan3354(30993) on 2011-03-26 02:15:27 (Show Source):
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Linear_Equations_And_Systems_Word_Problems/427218: Each of 2 brothers can wash a car in 1 hr.However their sister can wash the car in 45 mins., if all 3 works together how long will it take to wash the car?
1 solutions
Answer 297089 by Alan3354(30993) on 2011-03-25 21:04:23 (Show Source):
You can put this solution on YOUR website!Use minutes for all 3
1 car in 60 mins --? 1/60 car/minute
With all three, they do 1/60 + 1/60 + 1/45 car/min
= (3+3+4)/180 car/min = 1/18 car per minute
--> 18 minutes per car
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You can use a shortcut
The 2 brothers together take 30 minutes, since they both do 1/60 per minute
Use 30 & 45 and the product/sum
= (30*45)/(30 + 45) = 1350/75
= 18 minutes
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test/427206: have a problem and of course it's like always one number holding me up. It's a long problem but I'm going to send an example then what my problem is if you could tell me where that number is coming from. Example problem is k=Wd^2=(189)(4000)^2=3.024x10^9 step 2 =3.024x10^9/(4550)2 step 3 =146.1. I'm not sure where the 3.024 is coming from. My problem now is k=wd^2=(181)(4000)^2=????x10^9 I'm stuck please help. 1 solutions
Answer 297085 by Alan3354(30993) on 2011-03-25 20:53:25 (Show Source):
You can put this solution on YOUR website!189*16 = 3024
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k=Wd^2=(189)(4000)^2 = 3.024x10^9 step 2 =3.024x10^9/(4550)2 step 3 =146.1
I don't know where you got the 4550, or what (4550)2 means.
I don't know what you're trying to do here.
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= 181*16E6
= 2896E6 = 2.896E9
= 
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k=Wd^2=(189)(4000)^2 = 189*(4E3)^2 = 189*16E6
= 3024E6
= 3.024E9 or
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Miscellaneous_Word_Problems/427164: Flor wants to solve the equation (.6)x=16. what step should she takes first?
f. subtract .6 from each side.
g. subtract 16 from each side.
h. multiply both sides by 5
i. divide each side by 16 1 solutions
Answer 297055 by Alan3354(30993) on 2011-03-25 18:00:52 (Show Source):
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Inequalities/427092: Which of the following are solutions to the inequality 3x - 4y < 15?
a. ( -4, -9)
b. ( 3, -4)
c. ( 6, 2)
d. ( 7, 1)
I answered c. (6,2) can anyone tell me if this is correct?
Thank you! 1 solutions
Answer 297025 by Alan3354(30993) on 2011-03-25 15:10:29 (Show Source):
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Radicals/427100: April shoots an arrow upward into the air at a speed of 64 ft per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t)=-16t^2+64t+34, where t is the time in seconds. What is the maximum height of the arrow? 1 solutions
Answer 297024 by Alan3354(30993) on 2011-03-25 15:06:48 (Show Source):
You can put this solution on YOUR website!April shoots an arrow upward into the air at a speed of 64 ft per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t)=-16t^2+64t+34, where t is the time in seconds. What is the maximum height of the arrow?
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The max is the vertex of the parabola, on the line of symmetry t = -b/2a
t = -64/-32 = 2 seconds
h(2) = -16*4 + 64*2 + 34
h(2) = 98 feet, the max ht
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Radicals/427080: Simplify: square root of 3x divided by sq.root 15x^3.
My solution is (3)(1)(x)/(5)(3)(x^2)(x)= 1/x sq. root 5 but I don't think this is right.
1 solutions
Answer 297010 by Alan3354(30993) on 2011-03-25 14:06:48 (Show Source):
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Rectangles/427041: How does a 4th grader find the dimensions of a rectangle when the perimeter is 58 and the area is 54. 1 solutions
Answer 297000 by Alan3354(30993) on 2011-03-25 12:01:13 (Show Source):
You can put this solution on YOUR website!How does a 4th grader find the dimensions of a rectangle when the perimeter is 58 and the area is 54.
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Perimeter = 2L + 2W = 58 --> L + W = 29
Area = L*W = 54
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L = 54/W
(54/W) + W = 29
54 + W^2 = 29W

(W - 2)*(W - 27) = 0
W = 2
L = 27
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I'm not sure that'll work in the 4th grade, it's been awhile since I was there.
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Try this:
Factor 54 and look for a pair that adds to 29
54 =
1 x 54
2 x 27
3 x 18
6 x 9
Only 2 by 27 fits.
If the solution is not integers, that won't work.
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Travel_Word_Problems/427046: Hello, My question is:
"The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?"
I know that will be the sum of miles that they are
(10*15) + (70*40) = 2950
But, I don't the rest. I think it will be divided by something, but I don't know what. I'm stuck on that question. Can you please help me on that?
Thanks,
Cristian 1 solutions
Answer 296997 by Alan3354(30993) on 2011-03-25 11:47:15 (Show Source):
You can put this solution on YOUR website!"The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?"
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I know that will be the sum of miles that they are
(10*15) + (70*40) = 2950
If you include units, you'll see a problem with that
10 miles * 15 miles/hour = 150 sq miles/hr ?? Not good.
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Their directions are 90º apart, so it's a right triangle.

r = sqrt(1825) =~ 42.72 mph
r = the speed of one relative to the other.
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The distances have no effect on the relative speed.
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Rectangles/427025: A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm.
1 solutions
Answer 296993 by Alan3354(30993) on 2011-03-25 10:37:19 (Show Source):
You can put this solution on YOUR website!A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm.
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Its volume = 50*20*t (t = thickness)
Using 2.7 gm/cc for the density of Al,
5.4 = 1000t*2.7
t = 5.4/2.700E3 cm
t = 2E-3 cm or 0.002 cm
= 0.02 mm
= 20 microns
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