Problem on fractions and geometry


Assignment:

Question 1. Find the best buy on pasta sauce (1 qt is 32 oz).  Justify your answer.
1 qt for $1.29
45 oz for $1.59
48 oz for $1.79
1 qt 16 oz for $1.99

Question 2. A restaurant has 8 tables and 17 booths. Write the ratio of booths to tables as a fraction.

Question 3. A computer transmits 25 Web pages in 2 seconds (s) to a Web server. A second computer transmits 75 pages in 4 s to the server. Are these two computers transmitting at the same speed?

Question 4. A basketball player scored a total of 85 points in the first five games of the season. If he continues at the same pace, how many points should he score in the 20-game season?

Question 5. Use a proportion to find the unknown side, labeled x, in the following pair of similar figures.

1715_Triangle.jpg
Question 6. Rewrite the statement, using percent notation.

Out of every 100 eligible people, 59 voted in a recent election.

Question 7. A) Write 56% as a fraction or a mixed number. Simplify.

B) Write 930% as a fraction or a mixed number. Simplify.

Question 8. A) Write 0.06 as a percent.

B)  Write 3/8 as a percent.

Question 9. A manufacturer determines that 4 out of every 35 products will be returned due to defects. What percent of the products will be returned?

Question 10. An electrician marks up copper wire 25% over cost. When wiring a new home, the electrician spent $290 on copper wire. How much will he charge the homebuilder for the wire?

Question 11. 12% of 200 is what number?

Question 12. 307.5 is 41% of what number?

Question 13. A new car depreciates an average of 22% in its first year of use. If the car was worth $16,000 when it was new, what will the car be worth after 1 year?

Question 14. If $7,800 is deposited into an account paying 6% interest compounded annually (at the end of each year), how much money is in the account after 2 years?

Question 15. A)  Write as 20 x 3/8 % a decimal.

B)  Write 819% as a decimal.

Question 16. On a test, Abbey had 75% of the problems right. If she had 48 problems correct, how many problems were on the test?

Question 17. Complete the following statement.  Show conversion factor.

16 gal = ________ qt

Question 18. Add and simplify.

749_Add.JPG
Question 19. A)  Complete the statement.  Show conversion factor.

          980 cm = ________ m

B)  Complete the statement.  Show conversion factor.

          9,000 L = ________ kL

Question 20. Subtract and Simplify.

1366_Subtract.JPG

Question 21. A)  Identify the angle as acute, right, obtuse, or straight.

362_Angle.JPG
B)  Label the triangle as acute, obtuse, or right.

2349_Tri.JPG

Question 22. m(angle)B = 38°

Find the supplement of (angle)B.

Question 23. Find the missing angle.

897_Missing angle.JPG

Question 24. Find the missing length of the right triangle. Use Pythagorean Theorem.

2157_Pythagorean Theorem.JPG

Question 25. Find the length of the diagonal of the rectangle. Use Pythagorean Theorem.

2360_Diagonal of rectangle.JPG

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem on fractions and geometry
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