Answer:
2 x 10 ^ 6
Step-by-step explanation:
Answer: 4 miles
Step-by-step explanation:
One half is equal to 3/6.
One third is equal to 2/6.
After removing 600 litres from the tank, there is a decrease from 3/6 to 2/6
3/6-2/6=1/6
600 litres is 1/6 of the tank. Multiply by 6 to get the capacity of a full tank.
600*6=3600
The tank can hold 3600 litres.
Answer:
0.001953125
Step-by-step explanation:
Divide 34 by 512
34 ÷ 512 = 0.06640625
divide 0.06640625 by 34
0.06640625 ÷ 34 = 0.001953125
Check you work
34 × 0.001953125 = 0.06640625
Answer is 3 4 ÷ 5 12 = 3 4 × 0.001953125
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
