Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor?
7(4+5)7(4+5)
9(4+5)9(4+5)
9(3+4)9(3+4)
7(3+6)7(3+6)
well, what is their greatest common factor?
Hint 7 does not divide either 27 or 36.
and why did you write each answer twice?
do not scam me
To find the expression that shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor, we need to find the greatest common factor of 27 and 36, and then express the sum of two whole numbers that have no common factors.
First, let's find the greatest common factor (GCF) of 27 and 36:
The prime factors of 27 are 3 * 3 * 3.
The prime factors of 36 are 2 * 2 * 3 * 3.
To find the GCF, we look at the common prime factors between the two numbers, which are 3 and 3. Therefore, the GCF is 3 * 3 = 9.
Now, let's express the sum of two whole numbers with no common factors:
To achieve this, we can choose any two whole numbers that are relatively prime, meaning they have no common factors. For example, we can choose 4 and 5.
Putting it all together, the expression that shows 27 + 36 as the product of their GCF and the sum of two whole numbers with no common factor is:
9(4 + 5)
To find the expression that shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor, we need to first determine the greatest common factor (GCF) of 27 and 36.
To find the GCF, we can list the factors of each number and find the largest number that divides both 27 and 36 evenly.
The factors of 27 are: 1, 3, 9, 27.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The largest number that divides both 27 and 36 evenly is 9. Therefore, the GCF of 27 and 36 is 9.
Next, we need to find two whole numbers that have no common factor. This means that the numbers should not share any prime factors.
We can choose 4 and 5 as the two whole numbers, as they have no common factors.
Now, we can write the expression that shows 27 + 36 as the product of their GCF (which is 9) and the sum of two whole numbers (4 + 5).
The correct expression is: 9(4 + 5).
Therefore, the correct answer is: 9(4+5).