Its the same thing because your just switching the order which doesn't matter when your adding or multiplying
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400
Answer:
Yes, you can
Step-by-step explanation:
As a point of reference, assume the equation is:
![y = 5x](https://tex.z-dn.net/?f=y%20%3D%205x)
Where
![y = total\ cost](https://tex.z-dn.net/?f=y%20%3D%20total%5C%20cost)
and
![x = pounds](https://tex.z-dn.net/?f=x%20%3D%20pounds)
In standard unit of conversion:
![1\ pound = 0.4793\ quart](https://tex.z-dn.net/?f=1%5C%20pound%20%3D%200.4793%5C%20quart)
So:
![x\ pounds = 0.4793x\ quart](https://tex.z-dn.net/?f=x%5C%20pounds%20%3D%200.4793x%5C%20quart)
Substitute 0.4793x for x in ![y = 5x](https://tex.z-dn.net/?f=y%20%3D%205x)
![y = 5 * 0.4793x](https://tex.z-dn.net/?f=y%20%3D%205%20%2A%200.4793x)
![y = 2.3965x](https://tex.z-dn.net/?f=y%20%3D%202.3965x)
The above equation is the equivalent of
in quarts
<em>So, irrespective of what the equation is, you can always substitute quarts into the equation.</em>
We need to find an equation in the form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
.
To find
![m](https://tex.z-dn.net/?f=m)
, we use the formula:
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
We'll use the points
![(0, 25)](https://tex.z-dn.net/?f=%280%2C%2025%29)
and
![(4, 37)](https://tex.z-dn.net/?f=%284%2C%2037%29)
:
![m=\frac{37-25}{4-0}=\frac{12}{4}=3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B37-25%7D%7B4-0%7D%3D%5Cfrac%7B12%7D%7B4%7D%3D3)
The value of
![b](https://tex.z-dn.net/?f=b)
(the y-intercept) is the value of
![y](https://tex.z-dn.net/?f=y)
when
![x=0](https://tex.z-dn.net/?f=x%3D0)
, which is 25.
So the equation is
![y=3x+25](https://tex.z-dn.net/?f=y%3D3x%2B25)
(choice A).