Final answer:
The correct answer is 'd. 45 : -9 = -5', which is the only true equation among the provided choices.
Step-by-step explanation:
The question is asking which of the given equations are true.
Let's evaluate each of them:
- a. 45 = -9 = 45 x -9: This equation is not true because 45 obviously does not equal to -9.
- b. 45 = -9 = 45 x 9: This equation is also not correct because again, 45 does not equal -9.
- c. 45 = -9 = 5: This equation is also false for the same reason as above.
- d. 45 : -9= -5: This equation is true. Division of two numbers with opposite signs results in a negative number. Therefore, when 45 is divided by -9, it equals -5.
- e. None of the above: This option is not correct because there is one correct equation.
- f. All of the above: This choice is also not correct because not all of the equations are true.
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