Answer:
As proved in the attached files
Step-by-step explanation:
The detailed step and mathematical derivation and manipulation is as shown in the attachment.
Find the greatest common factor. In this case it is 3. Divide each group by 3.
15÷3=5 quarters
30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
5 × 0.25 = $1.25
10 × 0.10 = $1
16 × 0.05 = $0.80
Add them up:
= $3.05 in each group and there are three groups.
So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.
Answer:
(x-8)(x+2)
Step-by-step explanation:
This is because x^2-6x-16 has two common factors which are -8+2=the coefficient 6 in 6x and -8·2 which equals -16
This results in (x-8)(x+2)
Answer:
A.
Step-by-step explanation:
For this problem, we have to combine like terms.
Let's look at the equation:
, , do not have any other like terms, so we keep all in the final answer.
and are like terms, so we combine them.
14 and 6 are like terms, so we combine them. 14+6 = 20
Let's put everything into the final equation:
So, the final answer is A.
Hope this helps! If you have any questions about my work, leave them in the comments below!