Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
<span>rotation of 180° about the origin is correct. Changing the signs of both x and y rotates 180 degrees.
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Answer:
x=17 p=20
Step-by-step explanation:
Answer:
B is most likely the answer
Step-by-step explanation:
4 1/2 * 2= 9 so 15-9= 6
Pears weight is 6 Ibs and
4 1/2 *2 would make the most sense
Answer: There are 20 socks in the first case and there are 75 socks in the second case.
Step-by-step explanation:
Since we have given that
Number of equal groups = 5
Let the total number of socks be 's'.
According to question, expression will be
Now, Suppose number of socks in each group = 4
So, it will become,
Suppose number of socks in each group = 15
So, Total number of socks become
Hence, there are 20 socks in the first case and there are 75 socks in the second case.
