If you drew a tree diagram showing how many ways 9 coins could be flipped, how many branches would it have?

512 branches.

Step-by-step explanation:

We are asked to find the number of branches a tree diagram that represents total number of ways to flip 9 coins.

We know that when we flip a coin, we get two outcomes: heads or tails.

When we will flip 9 coins, the number of outcomes would be 2 multiplied to itself by 9 times that would be:

Therefore, the tree diagram that representing the total number of ways to flip 9 coins would have 512 branches.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.