There are 4 roses and 9 daisies in a vase. (a) What is the ratio of all flowers in the vase to roses? (b) What is the ratio of daisies to all flowers in the vase?

Step 1 ：Let's denote the number of roses as \(r\) and the number of daisies as \(d\). Given that \(r = 4\) and \(d = 9\).

Step 2 ：The total number of flowers in the vase is the sum of roses and daisies, which is \(r + d\). Substituting the given values, we get \(4 + 9 = 13\). So, there are 13 flowers in total.

Step 3 ：For part (a), we need to find the ratio of all flowers in the vase to roses. This is calculated by dividing the total number of flowers by the number of roses, which is \(\frac{r + d}{r}\). Substituting the given values, we get \(\frac{13}{4} = 3.25\).

Step 4 ：Final Answer: The ratio of all flowers in the vase to roses is \(\boxed{3.25}\).

Step 5 ：For part (b), we need to find the ratio of daisies to all flowers in the vase. This is calculated by dividing the number of daisies by the total number of flowers, which is \(\frac{d}{r + d}\). Substituting the given values, we get \(\frac{9}{13} = 0.69\).

Step 6 ：Final Answer: The ratio of daisies to all flowers in the vase is \(\boxed{0.69}\).