Question

he regular price of a novel is $24.95. it is currently on sale for $14.97. complete the proportion
to determine the percent of change.
change/100=?/?
use the answer choices for the question marks ( you can chose 2 answers)
a 24.95-14.97
b.14.97-24.95
c. 24.95
d. 14.97

Answer 1

you are participating in a 5K run which is 3.1 miles. if there are 5,280 feet in one mile. complete the proportion to determine how many feet are in the 5K ?/?=?/1mile. Use the answer choices to fill in the question mark.
a. 5K
b. 3.1 miles
c. 5,280 feet
d. x feet
e. x miles
How many feet are in the 5K?
? feet (enter your response without commas.)

Answer 2

_________________
|. . . . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . . . .|.....4
|________________.|
...............6.................
_______________
|. . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . .|. 7.5
|. . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . .|
|. . . . . . . . . . . . . . .|
|______________.|
..............5...............
lynley draws the quadrilateral on the left and then uses a scale factor to create the quadrilateral on the right. determine the correct pairs of corresponding ides. choose 2.
a. 4 units corresponds to 5 units
b. 4 units corresponds to 7.5 units
c. 5 units corresponds to 7.5 units
d. 6 units corresponds to 4 units
e. 6 units corresponds to 5 units
f. 6 units corresponds to 7.5 units
determine the scale factor she used to create the second quadrilateral.
a. 0.67
b. 1.25
c. 1.5
d. 1.875

Answer 3

the movie theater sold 345 tickets to a show. if 2/3 of the tickets sold were adult tickets, which cost 13.95 how much money did the theater make from the sale of children tickets if they cost 2/3 of the amount of adult tickets?
step 1: determine how many student tickets were sold.
?
step 2: determine how much each student ticket cost.
$? answer with a dollar amount rounded to the nearest hundredth
step 3: use the answers from steps 1 & 2 to determine the amount of money the theater made from the sale of children tickets.
$? answer with a dollar amount rounded to the nearest hundredth

Answer 4

louisa purchased a new snake for $199.00. the sales tax is 7.25% complete the steps below
step 1: determine 7.25% of $199.00.
$? round the answer to the nearest hundredth
step 2: determine the total price of the snake including the tax.
$? round the answer to the nearest hundredth

Answer 5

jesse buys his coworkers lunch from the local steakhouse. the food costs $105.79, and the sales tax rate is 9% jesse wants to leave a 20% tip based on the pre-tax amount complete the steps below.
step 1: determine 20% tip of the food costs
$? round to the nearest hundredth.
step 2: determine the 9% sales tax of the food costs
$? round to the nearest hundredth.
step 3: determine the total price of the meal including the tip and tax.
$? round to the nearest hundredth.

Answer 6

To determine the percent of change, we can use the formula:

\[
\text{Percent of Change} = \frac{\text{Change}}{\text{Original Price}} \times 100
\]

**Step 1: Calculate the change in price.**

The original price is $24.95, and the sale price is $14.97.

\[
\text{Change} = \text{Original Price} - \text{Sale Price} = 24.95 - 14.97
\]

Calculating that gives:

\[
\text{Change} = 24.95 - 14.97 = 9.98
\]

**Step 2: Set up the proportion.**

We want to set up the proportion:

\[
\frac{\text{Change}}{100} = \frac{?}{?}
\]

From our calculations, we know:
- Change = \(24.95 - 14.97\) (from option a)
- Original Price = \(24.95\) (from option c)

So we can complete the proportion as follows:

\[
\frac{24.95 - 14.97}{100} = \frac{9.98}{24.95}
\]

Therefore, the two answers that can be used in the proportion are:
- a: \(24.95 - 14.97\)
- c: \(24.95\)

So, the complete proportion is:

\[
\frac{9.98}{100} = \frac{24.95 - 14.97}{24.95}
\]

Answer 7

To determine how many feet are in a 5K run (which is 3.1 miles), we can set up a proportion based on the relationship between miles and feet.

1. **Know the relationship**:
- 1 mile = 5,280 feet

2. **Determine how many feet are in 3.1 miles**:
- To find out how many feet are in 3.1 miles, we multiply the number of miles by the number of feet per mile:

\[
\text{Feet in 3.1 miles} = 3.1 \text{ miles} \times 5,280 \text{ feet per mile}
\]

Now perform the multiplication:

\[
\text{Feet in 3.1 miles} = 3.1 \times 5,280 = 16,368 \text{ feet}
\]

3. **Set up the proportion**:
You can structure your proportion as follows:

\[
\frac{? \text{ feet}}{3.1 \text{ miles}} = \frac{5,280 \text{ feet}}{1 \text{ mile}}
\]

4. **Fill in the blanks**:
Based on the information described, we can complete the proportion as follows:

- In the left part of the fraction, the quantity in feet corresponds to \( ? \) feet (which is 16,368 feet).
- On the right, the equivalent in miles is 3.1 miles and 5,280 feet.

Thus, the completed proportion is:

\[
\frac{16,368 \text{ feet}}{3.1 \text{ miles}} = \frac{5,280 \text{ feet}}{1 \text{ mile}}
\]

So, the answer to how many feet are in the 5K is:

**16,368** (enter the response without commas).

Answer 8

To determine the correct pairs of corresponding sides and the scale factor used to create the second quadrilateral, we first analyze the dimensions provided.

### Determine Corresponding Sides
Based on the information given:
- The left quadrilateral has a side measuring **4** units and a side measuring **6** units.
- The right quadrilateral has the corresponding side measured **5** units and **7.5** units.

Let's evaluate the choices for corresponding pairs of sides:

1. **4 units corresponds to 5 units** (a)
2. **4 units corresponds to 7.5 units** (b)
3. **5 units corresponds to 7.5 units** (c)
4. **6 units corresponds to 4 units** (d)
5. **6 units corresponds to 5 units** (e)
6. **6 units corresponds to 7.5 units** (f)

From the analysis:
- **4 units** on the left corresponds to **5 units** on the right. (Choice a)
- **6 units** on the left corresponds to **7.5 units** on the right. (Choice f)

So, the correct pairs of corresponding sides are:
- **4 units** corresponds to **5 units** (Choice a)
- **6 units** corresponds to **7.5 units** (Choice f)

### Determine the Scale Factor
Next, we calculate the scale factor.

The scale factor is determined by taking the length of the corresponding side on the right quadrant and dividing it by the length of the corresponding side on the left quadrant for those valid pairs.

For **4 units (left)** to **5 units (right)**:

\[
\text{Scale Factor} = \frac{\text{Length on right}}{\text{Length on left}} = \frac{5}{4} = 1.25
\]

For **6 units (left)** to **7.5 units (right)**:

\[
\text{Scale Factor} = \frac{7.5}{6} = 1.25
\]

Since both pairs yield the same scale factor, we confirm that the scale factor used to create the second quadrilateral is:

**1.25 (Choice b)**

### Summary of Answers
- The correct pairs of corresponding sides are:
- **4 units corresponds to 5 units** (Choice a)
- **6 units corresponds to 7.5 units** (Choice f)

- The scale factor used to create the second quadrilateral is **1.25 (Choice b)**.

Answer 9

Let's break this problem down step by step.

### Step 1: Determine How Many Student Tickets Were Sold

We know that 2/3 of the tickets sold were adult tickets.

1. **Calculate the number of adult tickets sold:**

\[
\text{Adult tickets} = \frac{2}{3} \times \text{Total tickets} = \frac{2}{3} \times 345
\]

Now calculate this:

\[
\text{Adult tickets} = \frac{2 \times 345}{3} = \frac{690}{3} = 230 \text{ adult tickets}
\]

2. **Calculate the number of student tickets sold:**

\[
\text{Total tickets} - \text{Adult tickets} = 345 - 230 = 115 \text{ student tickets}
\]

### Step 2: Determine How Much Each Student Ticket Cost

The cost of adult tickets is $13.95, and student tickets cost 2/3 of that amount.

1. **Calculate the cost of a student ticket:**

\[
\text{Student ticket cost} = \frac{2}{3} \times 13.95
\]

Now let's calculate this:

\[
\text{Student ticket cost} = \frac{2 \times 13.95}{3} = \frac{27.90}{3} = 9.30
\]

### Step 3: Determine the Amount of Money the Theater Made from the Sale of Children Tickets

Now that we know the number of student tickets sold and their cost, we can calculate the total money made from the sale of student tickets.

1. **Calculate the total revenue from student tickets:**

\[
\text{Total revenue from student tickets} = \text{Number of student tickets} \times \text{Student ticket cost}
\]

\[
\text{Total revenue from student tickets} = 115 \times 9.30
\]

Now calculate this:

\[
\text{Total revenue from student tickets} = 1069.50
\]

### Summary of Answers

1. **Number of student tickets sold:** **115**
2. **Cost of each student ticket:** **$9.30**
3. **Total revenue from the sale of student tickets:** **$1069.50**

Answer 10

Let's go through the steps to find the sales tax and the total price Louisa paid for the snake.

### Step 1: Determine 7.25% of $199.00

To calculate 7.25% of $199.00, use the formula:

\[
\text{Sales Tax} = \text{Price} \times \left(\frac{\text{Tax Rate}}{100}\right)
\]

In this case, the price is $199.00 and the tax rate is 7.25%.

\[
\text{Sales Tax} = 199.00 \times \left(\frac{7.25}{100}\right)
\]

Calculating that gives:

\[
\text{Sales Tax} = 199.00 \times 0.0725 = 14.3775
\]

Now round to the nearest hundredth:

\[
\text{Sales Tax} \approx 14.38
\]

### Step 2: Determine the Total Price of the Snake Including the Tax

To find the total price, add the sales tax calculated in Step 1 to the original price:

\[
\text{Total Price} = \text{Original Price} + \text{Sales Tax}
\]

\[
\text{Total Price} = 199.00 + 14.38
\]

Calculating that gives:

\[
\text{Total Price} = 213.38
\]

### Summary of Answers

1. **Sales Tax (7.25% of $199.00):** **$14.38**
2. **Total Price of the Snake Including Tax:** **$213.38**

Answer 11

Let's go through the steps to calculate the tip, sales tax, and the total price of the meal Jesse bought.

### Step 1: Determine 20% Tip of the Food Cost

To find 20% of the food cost of $105.79:

\[
\text{Tip} = \text{Food Cost} \times \left(\frac{\text{Tip Rate}}{100}\right)
\]

In this case, the food cost is $105.79 and the tip rate is 20%.

\[
\text{Tip} = 105.79 \times \left(\frac{20}{100}\right) = 105.79 \times 0.20
\]
Calculating that gives:

\[
\text{Tip} = 21.158
\]

Rounding to the nearest hundredth:

\[
\text{Tip} \approx 21.16
\]

### Step 2: Determine the 9% Sales Tax of the Food Cost

To find 9% of the food cost of $105.79:

\[
\text{Sales Tax} = \text{Food Cost} \times \left(\frac{\text{Tax Rate}}{100}\right)
\]

So,

\[
\text{Sales Tax} = 105.79 \times \left(\frac{9}{100}\right) = 105.79 \times 0.09
\]

Calculating that gives:

\[
\text{Sales Tax} = 9.5211
\]

Rounding to the nearest hundredth:

\[
\text{Sales Tax} \approx 9.52
\]

### Step 3: Determine the Total Price of the Meal Including the Tip and Tax

The total price can be calculated by adding the original food cost, the sales tax, and the tip:

\[
\text{Total Price} = \text{Food Cost} + \text{Sales Tax} + \text{Tip}
\]

Substituting the values we found:

\[
\text{Total Price} = 105.79 + 9.52 + 21.16
\]

Calculating that gives:

\[
\text{Total Price} = 136.47
\]

### Summary of Answers

1. **20% Tip of the Food Cost:** **$21.16**
2. **9% Sales Tax of the Food Cost:** **$9.52**
3. **Total Price of the Meal Including the Tip and Tax:** **$136.47**