Answer:
-8 just add them together
Answer: 1 1/6
Step-by-step explanation:
Let the amount of students that a bottle of juice can cater for be x. Therefore,
2/3 × x = 12
2x/3= 12
2x = 12 × 3
2x = 36
x = 36/2
x = 18
Since Mrs. Williams gave juice to 21 students, the number of bottles of juice that was used will be:
= 21/18
= 1 3/18
= 1 1/6
Answer:
= 4374.
Step-by-step explanation:
it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.
This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.
Answer:
Jim can arrange the 7 songs on the playlist in 5040 different ways.
Step-by-step explanation:
Given

Required
Ways of arrangement
Since, there is no restriction and conditions.
The songs can be arranged in

This is so because each song will have a distinct position:
So, we have

