The junior class has 50 students. Twenty-five students take only French, 15 take only Latin, and 10 take both. If a student is chosen at random from the class, what is the probability that the student chosen takes either French only or Latin only? 1/2 4/5 1

Final answer:

Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.

Explanation:

To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.

For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.

If he works more than 40 hours in a week, the additional hours are considered overtime.

For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.

Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.

Learn more about overtime pay here:

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Answer:

The answer to your question is: 4

Step-by-step explanation:

Data

                                   1 − log₈(x − 3) = log₈(2x)

                                   1 = log₈(x − 3) + log₈(2x)

                                    1 = log₈ 2x(x - 3)

                                    8¹ = 2x(x - 3)

                                    8 = 2x² - 6x

                                    2x² - 6x - 8 = 0

Factorize                      2x² - 8x + 2x - 8 = 0

                                    2x(x - 4) + 2(x - 4) = 0

                                    (x - 4) (2x + 2)

                 x1 = 4                      x2 = -2/2 = -1

x2 = -1 is not and answer because there are not negative logs.