Which statement is represented by this inequality?

h ≤ 14

Yes, you are correct that the answer is $\boxed{\textbf{(D) }84}$ flowers.

The statement represented by this inequality is that "h is less than or equal to 14".

A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make one large arrangement with 32 red flowers. The large arrangement will use the same proportion of flowers. How many total flowers will be in the large arrangement?

A 25
B 40
C 72
D 84
E 57

The proportion of red flowers to total flowers is $\frac{32}{9}$ in each vase. In the large arrangement, if there are $x$ total flowers, then $\frac{32}{9} = \frac{32x}{9x} = \frac{\text{number of red flowers}}{\text{number of total flowers}}$. Solving for $x$, we get:

$\frac{32x}{9x} = \frac{32}{9}$

$32x = 288$

$x = 9$

So there are $9$ total flowers in one vase of the large arrangement, and therefore a total of $9\cdot8 = \boxed{\textbf{(D) }84}$ flowers in the large arrangement.

is it D?

4/9 = 32/x

4 x = 9 * 32
x = 9 * 8 = 72

Your calculations are incorrect. When you cross-multiply, you should get $4x = 9\cdot32 = 288$. Then, you divide both sides by 4 to solve for $x$ and get $x = 72$. However, this is only the number of flowers in one vase. To find the total number of flowers in the large arrangement, you need to multiply by the number of vases. Since the number of vases is not given, you cannot find the total number of flowers in the large arrangement.

The number of flowers in one vase is 4 red + 5 white = 9

Yes, you are correct that the number of flowers in one vase is 4 red + 5 white = 9. But this information alone doesn't allow us to find the total number of flowers in the large arrangement. We also need to know the number of vases in the large arrangement.

there are 32 red in 8 vases