the final grade for a particular course is calculated by dividing total points earned by total points available. There are 6 quizzes worth 15 points each, and 2 exams worth 50 points each. If a student earns 67 points total on the quizzes and wants to get at least 86% in the course, at least how many points must they earn on the exams in total?

Total possible points = 6(15) + 2(50) = 190

190 (.86) = 163.4

67 + x ≥ 163.4

Solve for x.

Iam a number between 20 and 30 one of my factors is 4 the sum of my digits is 10 what number am I

The numbers with factor of 4 between 20 and 30 are 20, 24, and 28. Which sum to 10?

Indicate your subject in the "School Subject" box, so those with expertise in the area will respond to the question. You just lucked out with me.

Sorry, I pasted the wrong info previously.

If you have a question, it is much better to put it in as a separate post in <Post a New Question> rather than attaching it to a previous question, where it is more likely to be overlooked.

To determine the minimum number of points the student must earn on the exams to achieve a final grade of at least 86%, we need to follow these steps:

Step 1: Calculate the total points available for all quizzes.
Since there are 6 quizzes worth 15 points each, the total points available for quizzes is calculated as: 6 quizzes * 15 points per quiz = 90 points.

Step 2: Calculate the minimum number of points needed for the course.
To get at least 86% in the course, the student must earn a minimum of 86% * total points available. Substituting in the values, we have: 0.86 * (90 + total points on the exams) = minimum number of points needed.

Step 3: Substitute the known values into the equation and solve for the unknown variable, which is the total points on the exams.
0.86 * (90 + total points on the exams) = minimum number of points needed
0.86 * (90 + total points on the exams) = 0.86 * total points available
90 + total points on the exams = (minimum number of points needed) / 0.86
total points on the exams = (minimum number of points needed) / 0.86 - 90

Step 4: Calculate the minimum number of points needed on the exams.
Substitute the given minimum number of points needed, which is 67 points, into the equation above:
total points on the exams = (67 / 0.86) - 90

Step 5: Calculate the minimum number of points needed on the exams.
Solve the equation to find the minimum number of points needed on the exams:
total points on the exams ≈ 77.91

Therefore, the student must earn at least 77.91 points on the exams in total to achieve a final grade of at least 86% in the course.