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:
$1,080
Step-by-step explanation:
To solve, we can make a proportion
14 lessons are $210 and 72 lessons are $x
14/210=72/x
Cross multiply
14*x=210*72
14x=15120
To solve for x, we need to get x by itself. Since x is being multiplied by 14, divide both sides by 14.
14x/14=15120/14
x=1080
So, 72 lessons will cost $1,080
Answer:
meow im a dog
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
Percentage increase for any change is calculated by formula
{(Final value - initial value)/initial value} * 100
Given
population in 2010 = 2 million ----------->initial value
population in 2015 = 2.2 million ----------->Final value

Answer:
5089.4cm³ (rounded to 1 d.p.)
Step-by-step explanation:
Volume of cylinder =
× r² × h
Volume of cylinder =
× 9² × 20
= 1620
= 5089.4cm³ (rounded to 1 d.p.)