Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
There are 3,628,800 different ways for the runners to finish.
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
An even number is a number that is divisible by 2.
This means that dividing this number by 2 yields no remainder (the remainder is zero).
The even numbers between 7 and 16 are:
8 as 8/2 = 4 and remainder is zero
10 as 10/2 = 5 and remainder is zero
12 as 12/2 = 6 and remainder is zero
14 as 14/2 = 7 and remainder is zero
Answer:
- g(- x) = - 70 - 3x
Step-by-step explanation:
to evaluate g(- x) substitute x = - x into g(x)
g(- x) = 70 - 3(- x) = 70 + 3x, hence
- g(- x) = - (70 + 3x) = - 70 - 3x
Answer:
36 = 2² x 3²
72=2³×3²
Step-by-step explanation:
