Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
Answer:
8n - 3.9
Step-by-step explanation:
Given
- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1
= 8n - 3.9
5 minutes per bracelet.
because 15/3 = 5 mins.
To find the constant of proportionality in minutes per bracelet, divide the total time by the number of bracelets:
constant of proportionality =15/3= 5 minutes.
Now, we're going to consider an example of a proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.
Learn more about the proportional relationships at
brainly.com/question/12242745
#SPJ4
The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.
Answer:
front and back, cause 7 times 4 is 28 inches