To factor out completely, we need to find the greatest common factor (GCF) among all the terms.
For the given expression, the GCF is 9 because it is the largest number that divides evenly into all the coefficients (45, -18, and 36).
So, we can factor out 9 from each term:
45x can be written as 9 * 5x
-18y can be written as 9 * (-2y)
36 can be written as 9 * 4
Therefore, the completely factored expression is:
9(5x - 2y + 4)
Factor out completely
45x - 18y + 36
5 answers
So D?
Yes, that is correct. The factored expression is 9(5x - 2y + 4).
A board 6 1/8 feet in length is shortened by having 2 1/12 feet cut off one end. The length of the shortened board is Responses A 3 1/4 feet. B 3 5/24 C 4 1/24 feet D 4 5/24 feet E 4 9/24 feet.
To find the length of the shortened board, we need to subtract the amount that was cut off from the original length.
The original length is 6 1/8 feet, and 2 1/12 feet was cut off.
To subtract these mixed numbers, we can convert them to improper fractions:
6 1/8 = 49/8
2 1/12 = 25/12
Now, we can subtract the fractions:
49/8 - 25/12
To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 8 and 12 is 24.
49/8 = 49/8 * 3/3 = 147/24
25/12 = 25/12 * 2/2 = 50/24
Now, we can subtract:
147/24 - 50/24 = 97/24
Therefore, the shortened length of the board is 97/24 feet.
This fraction can be simplified to a mixed number:
97 รท 24 = 4 remainder 1
So, the final result is 4 1/24 feet.
Therefore, the correct answer is C) 4 1/24 feet.
The original length is 6 1/8 feet, and 2 1/12 feet was cut off.
To subtract these mixed numbers, we can convert them to improper fractions:
6 1/8 = 49/8
2 1/12 = 25/12
Now, we can subtract the fractions:
49/8 - 25/12
To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 8 and 12 is 24.
49/8 = 49/8 * 3/3 = 147/24
25/12 = 25/12 * 2/2 = 50/24
Now, we can subtract:
147/24 - 50/24 = 97/24
Therefore, the shortened length of the board is 97/24 feet.
This fraction can be simplified to a mixed number:
97 รท 24 = 4 remainder 1
So, the final result is 4 1/24 feet.
Therefore, the correct answer is C) 4 1/24 feet.