4. Sarah can study 20 pages per night. Each page has three homework problems. If

Question

4. Sarah can study 20 pages per night. Each page has three homework problems. If she studies for 3 nights how many homework problems will she do? **Write out the relevant conversion factors as fractions then answer the given question (2) Conversion Factors: Work to answer questio: 5. Diamonds are weighed in terms of carats. One carat is equal to 200 mg. How much does a 3.74-carat diamond weigh in pounds? Write out 3 conversion factors relevant to solving this problem Conversion factors: Work to answer question: Show all work on a separate sheet of paper for these problems. I will be grading the work! 6. Grades are often computed using a weighted average. Suppose that in calculus 1 homework counts 10% quizzes 20%, and test 70%. Pat has the following grades: Homework (out of 100 points each): 85,97, 80, 87 Quizzes (out of 30 points each): 27, 25,29, 30, 20 Tests (out of 100 points each): 90, 87, 82, 88 What is Pat's overall grade?

Explanation / Answer

Ans 4

Sarah studies = 20 pages/night

1 page = 3 problems

Sarah studies for 3 nights

Pages studied by Sarah = 20 pages/night x 3 nights

= 60 pages

Homework problems done by Sarah

= 60 pages x 3 problems/page

= 180 problems

Ans 5

1 carat = 200 mg

1 g = 1000 mg

1 lb = 453.592 g

Weight of diamond in grams = 3.74 carat x 200 mg/carat

= 748 mg x 1g/1000mg

= 0.748 g

Weight of diamond in pounds = 0.748 g x 1lb/453.592g

= 0.001649 lb

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