8. a florist makes a bouquet made up of 7 roses, 12 carnations, and 5 lilies. what is the ratio of roses to flowers that are not roses?
(a) $ \frac { 1 2 } { 7 } $
(c) $ \frac { 1 } { 7 } $
(b) $ \frac { 7 } { 1 7 } $
(d) $ \frac { 7 } { 2 4 } $
9. at the produce store, wendy sees that grapes cost $ \$ 1 3. 5 0 $ for 3 pounds. what is the unit rate?
10. the double number line shows the numbers of minutes it takes stan to run different numbers of miles. at the given unit rate, how many minutes would it take him to run 6 miles?
(a) 48.5 minutes
(c) 57 minutes
(b) 51 minutes
(d) 59.5 minutes
11. a plant grows at a constant rate. the table shows the heights of the plant for different numbers of days of growth.
which of the following pairs of days and heights could also be included in the table? select all that apply.
(a) day 4: 8 in.
(b) day 9: 16 in.
(c) day 11: 22 in.
(d) day 15: 30 in.
(e) day 21: 44 in.
a paint store makes lime green paint by mixing 3 parts yellow paint to 1 part blue paint. a clerk mixes 5 parts yellow paint to 2 parts blue paint. did the clerk use the correct ratio of yellow paint to blue paint? explain.

Question

Accepted Answer

### 8.
# Explanation:
## Step1: Calculate the number of non - rose flowers
The number of non - rose flowers is $12 + 5=17$. The number of roses is $7$.
## Step2: Find the ratio of roses to non - rose flowers
The ratio of roses to non - rose flowers is $\frac{7}{17}$.

# Answer:
B. $\frac{7}{17}$

### 9.
# Explanation:
## Step1: Use the formula for unit rate
The unit rate $r=\frac{\text{total cost}}{\text{total weight}}$. Given that the total cost is $C = 13.50$ dollars and the total weight is $w = 3$ pounds.
## Step2: Calculate the unit rate
$r=\frac{13.50}{3}=4.5$ dollars per pound.

# Answer:
$4.5$ dollars per pound

### 10.
# Explanation:
## Step1: Identify the unit rate from the double - number line
From the double - number line, when the number of miles $m = 1$, the number of minutes $t=8.5$. So the unit rate is $8.5$ minutes per mile.
## Step2: Calculate the time for 6 miles
If the rate is $8.5$ minutes per mile, then for $m = 6$ miles, the time $t=8.5\times6=(8 + 0.5)\times6=8\times6+0.5\times6=48 + 3=51$ minutes.

# Answer:
B. $51$ minutes

### 11.
# Explanation:
## Step1: Find the growth rate
The growth rate $r=\frac{\text{height}}{\text{day number}}$. For day $3$ and height $6$ in, $r = 2$ (since $\frac{6}{3}=2$). For day $7$ and height $14$ in, $\frac{14}{7}=2$, for day $8$ and height $16$ in, $\frac{16}{8}=2$, for day $10$ and height $20$ in, $\frac{20}{10}=2$.
## Step2: Check each option
- For option A: If day $n = 4$, height $h=4\times2 = 8$ in.
- For option B: If day $n = 9$, height $h=9\times2=18
eq16$ in.
- For option C: If day $n = 11$, height $h=11\times2 = 22$ in.
- For option D: If day $n = 15$, height $h=15\times2=30$ in.
- For option E: If day $n = 21$, height $h=21\times2 = 42
eq44$ in.

# Answer:
A. Day 4: 8 in., C. Day 11: 22 in., D. Day 15: 30 in.

### 12.
# Explanation:
## Step1: Find the correct ratio
The correct ratio of yellow paint to blue paint for lime - green paint is $\frac{y}{b}=\frac{3}{1}=3$ (where $y$ is yellow and $b$ is blue).
## Step2: Find the clerk's ratio
The clerk's ratio is $\frac{y}{b}=\frac{5}{2}=2.5$

# Answer:
No. The correct ratio of yellow to blue paint for lime - green paint is $3:1$ (or a ratio value of $3$ when written as a fraction $\frac{3}{1}$). The clerk's ratio of yellow to blue paint is $\frac{5}{2}=2.5$. Since $2.5
eq3$,  the clerk did not use the correct ratio.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

8.

Step1: Calculate the number of non - rose flowers

Step2: Find the ratio of roses to non - rose flowers

Step1: Use the formula for unit rate

Step2: Calculate the unit rate

Step1: Identify the unit rate from the double - number line

Step2: Calculate the time for 6 miles

Answer:

9.