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Expressions-with-variables/423026: C= 5(f-32)divided by 9 for f 1 solutions
Answer 295192 by Alan3354(30993) on 2011-03-16 18:46:37 (Show Source):
You can put this solution on YOUR website!C = (5/9)*(F-32)
(9/5)*C = F - 32
F = (9/5)*C + 32
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F = (9*C + 160)*2/10 more useful
eg, to convert from 37 C to F:
37*9 = 333
Add 160 = 493
x2 = 986
move the decimal --> 98.6 F commonly used as normal body temperature, tho there's at least 1 deg F variation in that.
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test/422657: In trting to fins out how i can solve this linear system problem u-v= 0 and 7u+v=0 using substitution method 1 solutions
Answer 294987 by Alan3354(30993) on 2011-03-15 21:53:35 (Show Source):
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Travel_Word_Problems/421963: Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane? So far for the set up of the problem I have Jake against the wind and Jake with the wind. R*T= D so Jake against the wind 500D=R-40 *T and Jake with the wind is 700D=S+40*T but I don't know how to set this up for solving 1 solutions
Answer 294577 by Alan3354(30993) on 2011-03-14 13:53:16 (Show Source):
You can put this solution on YOUR website!Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane?
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a = airspeed of the plane
700 = (a+40)*t
500 = (a-40)*t
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t = 700/(a+40) = 500/(a-40)
700*(a-40) = 500*(a+40)
700a - 28000 = 500a + 20000
200a = 48000
a = 240 mi/hr
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real-numbers/421950: Find two rational numbers between 1 and 999/1000
I know that 1 is the same as 1000/100, so I do not know how there can be a rational number between 1000/100 and 999/1000 1 solutions
Answer 294564 by Alan3354(30993) on 2011-03-14 12:39:59 (Show Source):
You can put this solution on YOUR website!Find two rational numbers between 1 and 999/1000
I know that 1 is the same as 1000/100, so I do not know how there can be a rational number between 1000/100 and 999/1000
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1 = 1000/1000, not 1000/100.
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1 = 100000/100000
999/1000 = 9990/100000
--> 9991/100000, 9992/100000, etc
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Numbers_Word_Problems/421602: Find three consecutive integers whose sum of the first and the third is -88 1 solutions
Answer 294403 by Alan3354(30993) on 2011-03-13 14:30:45 (Show Source):
You can put this solution on YOUR website!n = 1st
n + (n+1) + (n+2) = -88
3n + 3 = -88
3n = -91
n <> integer
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No such numbers.
The sum of 3 consecutive numbers is always a multiple of 3. Also 3 odd or even, or any consistently spaced, integers add to a multiple of 3.
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Surface-area/421354: A dog owner has 250ft of fencing to enclose a rectangular run area for his dog. If he wants the maximun possible ares, what should the length and width of the rectangle be?
i did 2x+2z=250 then got the equation 2z=250-2x using -b/2a i got -250/-4=62.5=x
then 2z=250-2(62.5) and got z =62.5 which would mean each side is 62.5 and that checks out because 62.5*4=250 but how do i know thats the maximun area and also thats a square since all sides are equal?
can anyone please please tell me what i did wrong or what i need to do?
thank you!! 1 solutions
Answer 294265 by Alan3354(30993) on 2011-03-12 18:49:09 (Show Source):
You can put this solution on YOUR website!A dog owner has 250ft of fencing to enclose a rectangular run area for his dog. If he wants the maximun possible ares, what should the length and width of the rectangle be?
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The max area for a rectangle is a square.
The perimeter = 250 ft = 2L + 2W
--> L + W = 125
W = 125 - L
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Area = L*W = L*(125 - L)
 is a parabola. The max is at the vertex

The line of symmetry is L = -b/2a
L = 125/2 = 62.5
The vertex is on the line of symmetry at f(-b/2a) = f(62.5)
That proves that 62.5 ft gives the max area for the given perimeter.
Max area = 62.5^2 = 3906.25 sq ft
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