The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).
Factorization of 44:
44 = 11 x 4 = 11 x 2 x 2
Factorization of 55:
55 = 11 x 5
Factorization of 220:
220 = 11 x 20 = 11 x 5 x 4
Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown.
<em>ANSWER: 225</em>
3|–3x + 9| = –18
divide both sides by 3
|–3x + 9| = –6
<span>absolute value cannot be a negative number</span>
<span>Answer: No solutions</span>
Answer:
Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:
Next, we determine the slope, M:
The equation is then calculated as:
Where:
So, we have:
Open bracket
Collect like terms
Hence, the equation is:
Let there exists a point (x, y) on the given line.
Slope of all points must be same, as they lie on the same line.
=> (y - 1)/(x - 2) = (4 - 1)/(-4 - 2)
=> (y - 1)/(x - 2) = - 1/2
=> y - 1 = (-½) (x - 2)
Option 1 is the correct option
Answer and Step-by-step explanation:
Decreased by 20%
