The greatest common factor is 2z^3.
In order to find the greatest common factor, always start with the coefficient of the lowest term. Let's see what the factors of 14 are.
Factors of 10: 1, 2, 5, 10
Now we look to see which are also factors of the next highest number.
Factors of 14: 1, 2, 7, 14
Only 1 and 2 are similar factors. Since 2 is also a factor of 70, 2 in the coefficient of our greatest common factor.
Next we look for the term with the least number of z's. 14z^3 is the least number of z's. This means we can take out z^3. Giving us the final answer of 2z^3.
Answer: 400.3
Step-by-step explanation:
Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
Answer:
105
Step-by-step explanation:
The numbers that can be used to form triangles are collectively called "triangle numbers." The n-th triangle number is the sum of all numbers less than or equal to n. It is ...
n(n+1)/2
For n=14, the number is 14(15)/2 = 7·15 = 105.
The clerk used 105 oranges to make the arrangement.