The odds of randomly choosing one of 11 students out of 29 is 11/29 or ~38%
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 answer is A) x(2x+12)
As the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, it shows that this is not a proportional relationship.
What is a proportional relationship?
Proportional relationships can be described as relationships between two variables that have equivalent ratios.
The ratio of Adalynn that planted 20 peach trees over 400 feet can be expressed as follows:
20:400
Divide through by 400, we have:
0.050:1
The ratio of Dwight that planted 18 plum trees over 270 feet can be expressed as follows:
Divide through by 270, we have:
0.067:1
Since the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, this implies that this is not a proportional relationship.
Learn more about the proportional relationship here: brainly.com/question/12917806.
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Answer: 30
Explanation: You would want to set up your problem like:
5/10 = 15/y
Then use the butterfly method.
