How many license plates can be formed if 3 non-repeating uppercase letters are followed by 3 non-repeating digits?

11,232,000 license plates

Step-by-step explanation:

First we need to find the number of possibilities for the letters:

First letter: 26 possible values

Second letter: 25 possible values (one used)

Third letter: 24 possible values (two used)

Doing the same thing for the digits, we have:

First digit: 10 possible values

Second digit: 9 possible values (one used)

Third digit: 8 possible values (two used)

So the number of license plates is the product of all these possibilities:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000 license plates

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.