Answer:
√213 > 14(⅖) > 14.33
Step-by-step explanation:
√213 = 14.59
14(⅖) = 14.4
14.33 = 14.33
Smallest = 14.33
Greatest number = √213
Answer:
(X, Y, Z) = (8, 28, 32)
Step-by-step explanation:
The ratio units will form a geometric sequence if the middle one is the square root of the first and last:
Y' = √(2·8) = 4
To get this value from 7, we must subtract 3. In the real sequence we must subtract 12, so each "ratio unit" must stand for 12/3 = 4 real units, and the real numbers X, Y, Z are 2·4 = 8, 7·4 = 28, 8·4 = 32.
(X, Y, Z) = (8, 28, 32)
(X, Y-12, Z) = (8, 16, 32) . . . . a geometric sequence with a ratio of 2
Answer:
65 adult tickets and 135 student tickets were sold.
Step-by-step explanation:
4s + 6a = 930
s + a = 200
s = -a + 200
4(-a + 200) + 6a = 930
-4a + 800 + 6a = 930
2a + 800 = 930
2a = 130
a = 65
There were 65 adult tickets sold.
200 - 65 = 135
There were 135 student tickets sold.
Check:
4(135) + 6(65) = 930
540 + 390 = 930
930 = 930
Answer:28
Step-by-step explanation:
28/2=14
14+4=18
Answer:
Total number of ways to distribute the prize = 2187
Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:
Therefore, total number of ways to distribute the prizes = 2187
