Work out the Greatest Common Factor for both numbers
54 421×54 1×422×27 2×213×18 3×146×9 6×7
The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
There are 6 identical arrangements that can be made
There will be 9 roses and 7 tulips in each arrangement
Answer:
Step-by-step explanation:
Given
Population changes exponentially

------1

-----2
divide 1 & 2 we get


Substitute
in 1 we get

Thus 
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.

Substituting for y into the equation for the length of fencing needed, we have

For the amount of fencing to be minimum, then

Now, recall that

Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.