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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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    ***Please see the attached file.***

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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.

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    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.

    72 shaded squares/100 total
    = 72/100
    = 0.72
    = 72%

    6. Rewrite the statement, using percent notation.

    13 out of 25 college students work at part-time jobs.

    13/25 = 0.52 = ...

    $2.19