Two spinner are shown. Which best explains why one spinner is more likely to land a section labeled A than the other spinner?
1 answer:
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Answer:
72%
Step-by-step explanation:
There are a total of 50 quizzes in the year
From the first 20, the student passes 60%. This makes a total of
12 passes
Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of
24 passes
Adding the two values
12 + 24 = 36
The student passes 36 quizzes out of 50.
We convert this to a percentage
%
We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:
Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:
Now, we have our final range: -5 < x < 9