Algebra Answers

Sam brought a big bag of marbles to play with his friends at school. He played with Tommy, Rick, Sebastian, and Leo. The bag contained 60 marbles. If Sam gave each the same amount, how many marbles did each student get?

Solve the valid solutions of the following equations providing your values for some of them. Write your answers in solution set form. Identify the extraneous solution, if there is.

logb3 + logb(4x - 5) = 2

(provide a value for b which must be an integer greater than 1)

Solve the valid solutions of the following equations providing your values for some of them. Write your answers in solution set form. Identify the extraneous solution, if there is.

a^x-1 = b^3-x

(provide values for a and b which are different integers greater than 1)

Solve the valid solutions of the following equations providing your values for some of them. Write your answers in solution set form. Identify the extraneous solution, if there is.

81^2x = 9^3x+4

Determine the value of: 60 000 x 80 000 – 5 000 + 120 000 ÷ 15 000

4 800 000 000 – 5 000 + 8 = 4 799 995 008

5×-6=3×-8

X^{log x}=100x

9. The empirical rule states that for a normal distribution:

• Approximately   % of the data lies within 1 standard deviation from the mean 

• Approximately   % of the data lies within 2 standard deviations from the mean 

• Approximately    % of the data lies within 3 standard deviations from the mean 

10. Write the correct symbol for each of the following:

a) Standard deviation of a sample    

b) Mean of a population  

c) Mean of a sample   

d) Standard deviation of a population    

Solve the valid solutions of the following equations providing your values for some of them. Write your answers in solution set form. Identify the extraneous solution, if there is.

x 1 8

------- - -------- = ---------

x + 2 x - 2 x^2 - 4

the ratio of pharmacy techs on duty at the hospital during the day vs night is 32:19. express as a percent how many pharmacy techs staff work night shift