# Algebra and Geometry

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.

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.

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 = ...

Algebra, Geometry Problems

Check attachment for cleaner version of the questions below.

Solve the following equations algebraically. Must show work.

1a)

(t^{frac{2}{3}})

=4

b)√(5&x) + 1 = 3

= 3

c) =2-

(frac{2}{3})

(frac{5x -3}{x-1})

2)Solve algebraicaly

a)

(sqrt{x+2}-x=0)

b)

(4- frac{x}{x-2} = frac{-2}{x-2})

The volume of a cube is given by

( V = s^{3})

Find the length of a side of a cube ( round the answer to three decimal places if the volume is

(800_{cm}^{}3)

B)

(500^{cm}3)

4) The formula to find the wind chill temperature is given by

(w = 33- frac{10.45 + 10sqrt{v} - v)(33-T )}{22})

. V is wind speed in m/sec. Find the Wind Chill temperature given the following :

A ) T = 10 degree C , V= 9m/sec

B ) T = 0 degree C , V = 15 m/sec

C) T = -10 degree C , V = 20m/sec.