Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,
As they played 2 games with every other participant in the tournament.
So the total number of games is,
But it is given to be 20, so
As 
, so we get n=5.
Therefore, 5 players participated in the tournament.
Answer:
x > 4
Step-by-step explanation:
3x - 7 > 5
3x - 7 + 7 > 5 + 7
3x > 12
x > 4
So if he spends 24 spends 24 on the x and y they would be the Same
Answer: c(x) = $50*x + $24
Step-by-step explanation:
First, this situation can be modeled with a linear equation like:
c(x) = s*x + b
where c is the cost, s is the slope, x is the number of cubic yards of mulch bought, and b is the y-intercept ( a constant that no depends on the number x)
Then we know that:
The company charges $50 per cubic yard, so the slope is $50
A delivery charge of $24, this delivery charge does not depend on x, so this is the y-intercept.
Then our equation is:
c(x) = $50*x + $24
This is:
"The cost of buying x cubic yards of mulch"
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
