Find the GCF of 18j plus 27
To find the greatest common factor (GCF) of 18j and 27, we need to factor both terms and find the highest power common between them.
The prime factorization of 18j is 2 * 3 * 3 * j.
The prime factorization of 27 is 3 * 3 * 3.
Looking at the prime factorizations, we can see that the highest power common to both terms is 3 * 3 = 9.
Therefore, the GCF of 18j and 27 is 9.
Find GCF of 42M -28n
To find the greatest common factor (GCF) of 42M and -28n, we need to factor both terms and find the highest power common between them.
The prime factorization of 42M is 2 * 3 * 7 * M.
The prime factorization of -28n is -1 * 2 * 2 * 7 * n.
Looking at the prime factorizations, we can see that the highest power common to both terms is 2 * 7 = 14.
Therefore, the GCF of 42M and -28n is 14.
Factor -27H +6 using GCF
To factor -27H + 6 using the greatest common factor (GCF), we need to find the highest power common between the terms.
The GCF of -27H and 6 is 3 because they have a common factor of 3. To factor out the GCF, we divide each term by 3:
(-27H + 6)/3 = -9H + 2
Therefore, -27H + 6 can be factored as 3(-9H + 2).
Expand and distribute.
−5(−3−11g)
(1 point)
55g + 15
-55g + 15
55g - 15
-55g - 15
Simplify by combining like terms.
2/8x+3/10y−5/8x+4/10y
14/18xy
14 over 18 x y
−3/8x+7/10y
negative 3 eighths x plus 7 tenths y
7/10x+7/8y
7 tenths x plus 7 eighths y
4/18xy
Evaluate when a = 9, b = 6.
a−b3
3
6
9
1
You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after
weeks. How much will you have saved after 4 weeks?
To find the greatest common factor (GCF) of 18j and 27, we need to first factorize both numbers.
Let's start with 18j. The number 18 can be factored into 2 * 3 * 3, and j is a variable with no further factors. Therefore, we can express 18j as (2 * 3 * 3)j.
Now let's factorize 27. The number 27 can be expressed as 3 * 3 * 3.
Now let's compare the factors of 18j and 27:
Factors of 18j: 2 * 3 * 3 * j
Factors of 27: 3 * 3 * 3
To find the GCF, we need to identify the common factors between 18j and 27:
Common factors: 3 * 3
The GCF is the product of these common factors, which is 9. Therefore, the GCF of 18j and 27 is 9.