Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us: 
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us: 
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):
Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get: 
Which tells us that the smaller rocket gets 24 kiloliters of fuel.
Answer:
$1.50
Step-by-step explanation:
12/8 = 1.50
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➷ Improper fractions are sometimes called 'top heavy fractions'
You'll see why below
Multiply 6 by 4:
6 x 4 = 24
Add 3 :
24 + 3 = 27
The improper fraction would be 27/4
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Answer :
n = 4
Step-by-step explanation:
5n + 34 = -2(1-7n)
first distribute
5n + 34 = -2(1) -2(-7n)
5n + 34 = -2+14n
-5n
+2
then get all of n to the same side
36 = 9n
isolate the variable
36/9 = 9n/9
4 = n
The location of the vertex tells you the horizontal and vertical shift. (The parent function f(x) = x² has its vertex at the origin, (0, 0). The vertical distance of the point 1 unit left or right of the vertex in relation to the vertex tells you the vertical scale factor (stretch).
g(x) = f(x +3) -3
horizontal shift left 3
vertical shift down 3
h(x) = -3f(x)
reflection across the x-axis
vertical stretch of 3
d(x) = f(x -3) -3
horizontal shift right 3
vertical shift down 3
