5. how many peach trees grew at least 10 units tall? 6. what is the slope? 7. graph the line. (-3,-1) slope 1/3 8. this table show the types of pizza and drink selections at a party. if ella chooses one type of pizza, what is the probability she chooses pepperoni pizza? a. 1/12 b. 1/7 c. 2/7 d. 1/3 9. identify the perfect squares below. 225 18 324 160 25 1 10. graph the line. y = 3/2x

Question

Accepted Answer

### 5.
# Explanation:
## Step1: Identify relevant bars
We need to consider the bars for heights 10 - 14 and 15 - 19 from the histogram.
## Step2: Read the frequencies
The frequency for the 10 - 14 height - range is 20 and for the 15 - 19 height - range is 10.
## Step3: Calculate the total
Add the frequencies: $20 + 10=30$.
# Answer:
30

### 6.
# Explanation:
## Step1: Select two points on the line
Let's take two clear - cut points on the line. Suppose the points are $(0,0)$ and $(4,4)$.
## Step2: Use the slope formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2 = 4,y_2 = 4$.
## Step3: Calculate the slope
$m=\frac{4 - 0}{4 - 0}=1$.
# Answer:
1

### 7.
To graph the line with point $(-3,-1)$ and slope $\frac{1}{3}$:
# Explanation:
## Step1: Plot the given point
Plot the point $(-3,-1)$ on the coordinate plane.
## Step2: Use the slope to find another point
The slope $\frac{1}{3}$ means that for every 3 units we move to the right (increase in $x$), we move 1 unit up (increase in $y$). Starting from $(-3,-1)$, if we move 3 units to the right ($x=-3 + 3=0$) and 1 unit up ($y=-1 + 1 = 0$), we get the point $(0,0)$.
## Step3: Draw the line
Draw a straight line passing through the points $(-3,-1)$ and $(0,0)$.
# Answer:
Graph a line passing through $(-3,-1)$ and $(0,0)$

### 8.
# Explanation:
## Step1: Count the number of pizza types
There are 3 types of pizza: Pepperoni, Vegetable, and Plain Cheese.
## Step2: Calculate the probability
The probability of choosing pepperoni pizza is the number of pepperoni - pizza options divided by the total number of pizza options. Since there is 1 pepperoni - pizza option out of 3 total pizza options, the probability $P=\frac{1}{3}$.
# Answer:
D. $\frac{1}{3}$

### 9.
# Explanation:
## Step1: Recall the definition of a perfect square
A perfect square is a number that can be written as $n^2$, where $n$ is an integer.
## Step2: Check each number
- For 225, $\sqrt{225}=15$, so 225 is a perfect square ($15^2$).
- For 18, $\sqrt{18}\approx4.24$, so 18 is not a perfect square.
- For 324, $\sqrt{324}=18$, so 324 is a perfect square ($18^2$).
- For 160, $\sqrt{160}\approx12.65$, so 160 is not a perfect square.
- For 25, $\sqrt{25}=5$, so 25 is a perfect square ($5^2$).
- For 1, $\sqrt{1}=1$, so 1 is a perfect square ($1^2$).
# Answer:
225, 324, 25, 1

### 10.
To graph the line $y = \frac{3}{2}x$:
# Explanation:
## Step1: Find the $y$ - intercept
When $x = 0$, $y=0$. So the line passes through the origin $(0,0)$.
## Step2: Use the slope to find another point
The slope $\frac{3}{2}$ means that for every 2 units we move to the right (increase in $x$), we move 3 units up (increase in $y$). Starting from $(0,0)$, if we move 2 units to the right ($x = 2$), then $y=\frac{3}{2}	imes2 = 3$. So another point on the line is $(2,3)$.
## Step3: Draw the line
Draw a straight line passing through the points $(0,0)$ and $(2,3)$.
# Answer:
Graph a line passing through $(0,0)$ and $(2,3)$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

5.

Step1: Identify relevant bars

Step2: Read the frequencies

Step3: Calculate the total

Step1: Select two points on the line

Step2: Use the slope formula

Step3: Calculate the slope

Step1: Plot the given point

Step2: Use the slope to find another point

Step3: Draw the line

Answer:

6.