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# Algebra and Geometry

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I desperately need help in solving these problems. I have attached MS Word Document, please help me step by step (show the work so I can understand it better for next time).

Thank You Very Much!!

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1. A restaurant has 7 booths and 16 tables. Write the ratio of tables to booths as a fraction.
2. Write the ratio of to 6 in simplest form.
3. Find the rate:
4. Determine whether the pair of fractions is proportional:
5. Use percent notation to name the shaded portion of the drawing.
6. Rewrite the statement, using percent notation.
7. Write as a fraction or a mixed number
8. 11% of what number is 77?
9. Estimate 121% of 600.
10. Simplify to the nearest whole hour.

[see attachment for remaining questions]

20. Carlos works 8.25 h and receives \$102.30 pay. What will he receive at the same rate if he works 14 h?
21. Roberto has 22% of his pay withheld for deductions. If he earns \$680 per week, what amount is withheld?
22. Ms. Jefferson has been given a loan of \$20,000 for 1 year. If the interest charged is \$800, what is the interest rate?
23. The electricity costs of a business decreased from \$16,000 to \$11,000. What was the rate of decrease?
24. Find the missing length of the right triangle.
25. The two triangles are similar.

https://brainmass.com/math/basic-algebra/algebra-and-geometry-251401

#### Solution Preview

I put my work and answers in the right-hand problem.
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MAT115
Chapters 5, 6 and 7
Remember to show all steps and check your work carefully.

Problem Remember to simplify all answers

1. A restaurant has 7 booths and 16 tables. Write the ratio of tables to booths as a fraction.
16 tables divided by 7 booths
= 16/7

2. Write the ratio of to 6 in simplest form.
(4 1/3) / (6)
= (13/3) / (18/3)
= 13/18

3. Find the rate:
392 feet/ 8 seconds
= 49 feet per second

4. Determine whether the pair of fractions is proportional:
Yes. 6/15 is equal to 2/5 (divide the top and bottom of the fraction both by 3)

5. Use percent notation to name the shaded portion of the drawing.