Annabelle’s password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle’s password if the digits

Comments (4) on “Annabelle’s password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle’s password if the digits”

1. The answer is 27

   Step-by-step explanation:

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2. (2x + 16) + (x) = 180

   step-by-step explanation:

   given,

   abcd is a quadrilateral inscribed in a circle

   angle a is labeled x plus 16, (x + 16)

   angle b is labeled x degrees, (x)

   angle c is labeled 6x minus 4, (6x – 4)

   angle d is labeled 2x plus 16, (2x + 16)

   what equation can be used to solve for angle b?

   we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

   angle b is opposite angle d

   therefore, angle b + angle d = 180

   (x) + (2x + 16) = 180 

   same as (2x + 16) + (x) = 180

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3. You have 8 choices for the third digit (digits 0 - 9 excluding the numbers you chose for the first and second digit). So by the multiplication principle (MP), there are 9*9*8 ways to do this. So there are 648 numbers that are 3 digit numbers and have no repeated digits.

   Step-by-step explanation:

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4. 36 girls

   step-by-step explanation:

   the 48 boys is 4 parts of the ratio

   divide 48 by 4 to obtain one part of the ratio

   [tex]\frac{48}{4}[/tex] = 12 ← 1 part of the ratio

   3 parts = 3 × 12 = 36 ← number of girls

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