The factors of 48 are:
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
and visa versa: 48 x 1 etc.
To make the product negative, one of the factors has to be positive and one has to be negative. To find the greatest sum, make the bigger number the positive factor and the smaller number the negative factor. So, -1 x 48 = -48 and the sum of -1 + 48 = 47 which would be the greatest possible sum.
Subtract 3/100 to both sides:
Cross multiply:
Divide 100 to both sides:
Or we could just multiply both sides of the equation by 100, to give us:
Subtract 3 to both sides:
The pattern is multiplying by 3. So it will be: 243, 729
Answer:
Step-by-step explanation:
Given that A is a square matrix and A is idempotent
Consider I-A
i) 
It follows that I-A is also idempotent
ii) Consider the matrix 2A-I
So it follows that 2A-I matrix is its own inverse.
Answer:
180 CDs
Step-by-step explanation:
So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.
