Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Owner would lose out on $100
The team plays 20 matches.
65% of the matches, the teams wins
= 20 * 0.65
= 13 matches
15% of the matches, the games ends in draw.
= 20 * 0.15
= 3 matches
The team is expected to lose in
= 20 - 13 - 3
= 4 matches