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.
The classes could each have proportions of 5 boys to 6 girls, but they don’t necessarily have to be exactly 5 to 6. The number could 5 to 6 for one class, but it could also be 10 to 12 for another class, since 10 to 12 is a scale factor of 5 to 6.
The formula of a function is the rise over run.
The slope would be 2/5.
Hope this helps!
1/6 of the people are not elderly or men
<h3>How to determine the proportion?</h3>
The given parameters are:
Men = 1/2
Elderly = 1/3
The number of people that are not elderly or men are:
People = 1 - Men - Elderly
So, we have:
People = 1 - 1/2 - 1/3
Evaluate
People = 1/6
Hence, 1/6 of the people are not elderly or men
Read more about proportion at:
brainly.com/question/1781657
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