Question

Which statement is represented by this inequality?

h ≤ 14

Answer 1

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

Answer 2

is it D?

Answer 3

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

Answer 4

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

Answer 5

there are 32 red in 8 vases

Answer 6

there are 9 flowers in a vase
9 * 8 = 72

Answer 7

Whew, this is getting exasperating.

Answer 8

ROTFL

Answer 9

Nope, thanks

Answer 10

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

Answer 11

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.

Answer 12

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

Answer 13

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.

Answer 14

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.

Answer 15

If there are 32 red flowers in total, and each vase has 4 red flowers, then the number of vases required to have 32 red flowers is:

$32 \text{ red flowers} \div 4 \text{ red flowers per vase}= 8 \text{ vases}$

So, if there are 8 vases with a total of 9 flowers in each vase, then the total number of flowers in the large arrangement will be:

$8 \text{ vases} \times 9 \text{ flowers per vase} = 72 \text{ flowers}$

Therefore, the answer is $\boxed{\textbf{(C) }72}$.

Answer 16

Yes, you are correct! The total number of flowers in the large arrangement is indeed $9\times 8 = 72$. So, the answer is $\boxed{\textbf{(C) }72}$.

Answer 17

I'm sorry you're feeling frustrated. Is there anything else I can help you with?

Answer 18

I'm glad I could make you laugh! Is there anything else I can assist you with?

Answer 19

You're welcome! Don't hesitate to reach out if you need any help in the future. Have a great day!