Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
Then, the number of different ways they place first, second, and third :_
Hence, they can place first, second, and third in 120 different ways .
1. 6:2 or 3:1
2. 8:6 and 16:12
3. 26:35 (I think )
4.0.25mile:1 min
Answer:
The retail price is $103.6
Step-by-step explanation:
Markdowns are, to be simple, when the price goes DOWN, so the price would be less than the original rather than more. First, you must calculate what one percent of the original is, which is 1.40. As the markdown is 26 percent, you can do 1.40 x 26 to get how much was marked down, which is $36.40. To find the new price now, you must do the original minus the markdown, or 140 - 36.40 in this case. This gives you $103.6 as the retail price.
I hope this helped! :D
Answer:The roots are:
and
Explanation:First, we will need to expand the bracket on the left and then put teh equation i standard form which is:
ax² + bx + c = 0
This can be done as follows:
(x+5)² = 10
(x)² + 2(x)(5) + (5)² = 10
x² + 10x + 25 - 10 = 0
x² + 10x + 15 = 0
By comparison, we can find that:
a = 1
b = 10
c = 15
Now to get the roots, we would need to use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x =
or x =
Hope this helps :)
