John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the ma
1 answer:
The maximum number of bags is an illustration of the greatest common factor
The maximum number of bags John can make is 8
The given parameters are:
Start by expressing 48 and 56 as a product of their factors.
The product of the common factors between the above products is:
Multiply
The above represents the greatest common factor of 48 and 56.
Hence, the maximum number of bags John can make is 8
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Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that
Therefore, the scale factor of the given dilation is
Thus, the required scale factor of the dilation is 4.