3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.

2 answers:

6 0

Part a. 1/6 because there is only one 6 out of 6 in all.

Part b. 1 because the total is always 1 when you add both.

Part c. 5/6 because there is only one 6 and the rest aren't which is 5 out of 6.

Hope this helped☺☺

dlinn [17]3 years ago

3 0

Part A: The probability is 1/6. This is because there are six options in total, and only one of those options is 6.

Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.

Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.

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Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch

Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30 (3).

Writing equations (1) and (3) in matrix form, we have

$\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]$