Answer:
$84
Firstly, what we must do, is establish a system of equations:


Due the circumstances, it is decided we will use the method of substitution:


↓

Now, we solve the 2-variable equation above:








Now, we must see how much money each one of them had & the price of the jacket:
Now we know that Jim had $126. In other words, $126 is
of his money (total money).
So, if Jim has $126, which corresponds to
of his money,
of his money is:



Hope it helped,
BiologiaMagister
You just need to times each number by 5.
So your answer is:
-5, -25, -125, -625, -3125, -15,625.
Problem 9
r+h = 9
SA = 2*pi*r^2 + 2*pi*r*h = 54pi
2*pi*r^2 + 2*pi*r*h = 54pi
2pi*r(r + h) = 54pi
r(r+h) = 27
r(9) = 27
9r = 27
r = 27/9
r = 3
r+h = 9
h = 9-r
h = 9-3
h = 6
Answers: r = 3 and h = 6 are the radius and height respectively.
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Problem 10
d = diameter = 68 mm
r = radius = d/2 = 68/2 = 34 mm
SA = surface area of a sphere
SA = 4*pi*r^2
SA = 4*pi*34^2
SA = 4264pi
Answer: 4264pi square mm
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Problem 11
Plug V = 3000 into the sphere volume formula and isolate r.
V = (4/3)pi*r^3
3000 = (4/3)pi*r^3
(4/3)pi*r^3 = 3000
4pi*r^3 = 3*3000
4pi*r^3 = 9000
r^3 = 9000/(4pi)
r = cube root( 9000/(4pi) )
r = ( 9000/(4pi) )^(1/3)
r = 8.947002 approximately
Now we can determine the surface area of this sphere.
SA = 4pi*r^2
SA = 4*pi*( 8.947002 )^2
SA = 1005.923451
Answer: 1005.923451 square feet approximately
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Problem 12
We'll follow the same idea as problem 11, but in reverse.
SA = 4*pi*r^2
400pi = 4pi*r^2
r^2 = (400pi)/(4pi)
r^2 = 100
r = sqrt(100)
r = 10
Luckily we get a nice whole number for the radius r. Use it to find the volume.
V = (4/3)*pi*r^3
V = (4/3)*pi*10^3
V = (4000/3)pi
Answer: (4000/3)pi cubic inches exactly
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Problem 13
The diagram is missing. I don't have enough info to be able to answer.
Presumably we're supposed to put y in the table. That's not totally clear.
x - 6y = -6
-6y = -x - 6
y = (x+6)/6
x - 3y = -4
-3y = -x - 4
y = (x+4)/3
We wrote them like that because they're a little easier to compute that way.
x y = (x+6)/6 y = (x+4)/3
-4 (-4 + 6)/6 = 2/6 = 1/3 y=(-4+4)/3 = 0
-2 y = (-2+6)/6=2/3 y=(-2+4)/3 =2/3
0 y = (0 + 6)/6 = 1 y=4/3
2 y = 8/6=4/3 y=(2+4)/3=2
4 (4+6)/6=10/6=5/3 y=(4+4)/3=8/3