Which choice is NOT equal to the others?

Responses
A −[[2/5]]−[[2/5]]
B [[−2/5]][[−2/5]]
C [[2/5]][[2/5]]
D [[2/−5]][[2/−5]]
Question 2
Another way to write
-7/8


is
Responses
A [[7/8]].[[7/8]].
B −[[7/8]].−[[7/8]].
C −[[7/−8]].−[[7/−8]].
Question 3
In the example, Francine was able to cut ___ strips.
Responses
A 66
B 99
C 12

1 answer

Let's analyze each question:

Question 1

We're trying to determine which choice is NOT equal to the others.

A: \( -\left[\left[\frac{2}{5}\right]\right] - \left[\left[\frac{2}{5}\right]\right] \) = \( -\frac{2}{5} - \frac{2}{5} = -\frac{4}{5} \)
B: \( \left[\left[-\frac{2}{5}\right]\right]\left[\left[-\frac{2}{5}\right]\right] \) = \( -\frac{2}{5} \times -\frac{2}{5} = \frac{4}{25} \)
C: \( \left[\left[\frac{2}{5}\right]\right]\left[\left[\frac{2}{5}\right]\right] \) = \( \frac{2}{5} \times \frac{2}{5} = \frac{4}{25} \)
D: \( \left[\left[\frac{2}{-5}\right]\right]\left[\left[\frac{2}{-5}\right]\right] \) = \( -\frac{2}{5} \times -\frac{2}{5} = \frac{4}{25} \)

So we have:

  • A = \( -\frac{4}{5} \)
  • B = \( \frac{4}{25} \)
  • C = \( \frac{4}{25} \)
  • D = \( \frac{4}{25} \)

The choice that is NOT equal to the others is A.

Question 2

We want another way to write \(-\frac{7}{8}\).

A: \(\left[\left[\frac{7}{8}\right]\right] \cdot \left[\left[\frac{7}{8}\right]\right]\) = \(\frac{7}{8} \cdot \frac{7}{8} = \frac{49}{64}\) (not equal to \(-\frac{7}{8}\))
B: \(-\left[\left[\frac{7}{8}\right]\right] \cdot -\left[\left[\frac{7}{8}\right]\right]\) = \( -\frac{7}{8} \cdot -\frac{7}{8} = \frac{49}{64}\) (not equal to \(-\frac{7}{8}\))
C: \(-\left[\left[-\frac{7}{-8}\right]\right] \cdot -\left[\left[-\frac{7}{-8}\right]\right]\) = \(-\left[\left[\frac{7}{8}\right]\right] \cdot -\left[\left[\frac{7}{8}\right]\right]\) = \(\frac{49}{64}\) (not equal to \(-\frac{7}{8}\))

Thus, all choices do not correctly represent \(-\frac{7}{8}\), and the responses seem incorrect or could use clarification for notation. However, if we're strictly looking for an alternative, I would still consider B as \(-7/8\) is commonly expressed with negative signs or fraction representation with negatives.

Question 3

We simply need to find out how many strips Francine cut. The question does not provide enough context to ascertain the correct answer solely based on the presented choices. However, without context:

  • A: 66
  • B: 99
  • C: 12

The correct answer would depend on additional context or information from the example regarding what Francine was doing. Without further information, I cannot definitively answer this question.

Please review the questions for further context, or if there are any additional details to assist with clarifying these answers!