Answer:
7
Step-by-step explanation:
Answer:
The answer to your question is 1/8
Step-by-step explanation:
Data
Total volume = 1 gallon
Water drank by the hiker = 1/2
Water drank by each of his friends = ?
Process
1.- Calculate the water that he gave to his friends
Water gave to his friends = 1 - 1/2
= 1/2
2.- Calculate the amount of water each friend received.
1/2 ÷ 4 = 1/8
3.- Conclusion
Each of the friends received 1/8 of the gallon.
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
