Answer:
The main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
Step-by-step explanation:
From the question we are told that
The proof is
Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.
Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp
Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps
FLAW IDENTIFICATION
Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp and this is not correct according the statement in the basic step
Generally the main flaw of this proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp and a 3 cent postage must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage
<span>c. This budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses and maintaining a positive actual net income.
You can't reduce fixed expenses. These are expenses that are constant every month like rent expense, utility payments, and cell phone plan. The only expenses you can reduce are food and clothes. These expenses are called variable expenses meaning the amount of these expenses varies. Thus, it can be manipulated. </span>
ANSWER
I. The GCF of 6 and 16 is 3. FALSE
II. The LCM of 6 and 16 is 48. TRUE
III. 6 and 16 are both composite numbers. TRUE.
EXPLANATION
The GCF of 6 and 16 is not 3.
It is rather 2.
Factors of 6: {1,2,3,6}
Factors of 16:{1,2,4,8,16}
3 is not even a factor of 16.
The LCM of 6 and 16 is 48. This statement is true.
Composite numbers have more than 2 factors.
6 and 16 are both composite numbers.
