First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
Answer:
1/6
Step-by-step explanation:
The smallest one is -2/7
The largest one is 8/9 The difference between them is
8/9 - - 2/7 =
8/9 + 2/7 =
7*8/9*7 + 2*9/9*7 =
56 / 63 + 18 / 63 =
74 / 63 =
1 11/63
Answer:
x = 2 ; y = -1
Step-by-step explanation:
y = 1/2*x - 2 and y = -3*x + 5
1/2*x - 2 = -3*x + 5
7/2*x - 2 = 5
7/2*x = 7
x = 2
y = 1/2*2 - 2 = -1
y = -3*2 + 5 = -1
