2x + 5

If x is the width of a rectangle and the expression above describes the length, which of the following phrases accurately restates the expression?

To find the difference between the mean and the median number of tickets sold, let's follow these steps:

Step 1: List the number of tickets sold

• Lincoln: 200
• Jefferson: 250
• Washington: 300
• Adams: 150
• Jackson: 275

Step 2: Find the mean

Mean =(200+250+300+150+275)/5

=1175/5

=235

Step 3: Find the median

Sort the numbers: 150, 200, 250, 275, 300
The median is the middle value → 250

Step 4: Find the difference

Difference=∣235−250∣=15

Correct answer: C. 15

Let's evaluate each expression to determine their numerical values:

1. 1.8 - 0.5 = 1.3
2. 1.8 + 0.5 = 2.3
3. 1.8 + (2)(0.5) = 1.8 + 1 = 2.8
4. (1.8)(0.5) = 0.9
5. 1.8 + 0.5 (repeated) = 2.3

Now arrange in ascending order:

• (1.8)(0.5) = 0.9
• 1.8 - 0.5 = 1.3
• 1.8 + 0.5 = 2.3
• 1.8 + 0.5 = 2.3 (duplicate)
• 1.8 + (2)(0.5) = 2.8

Answer (in ascending order):

1. (1.8)(0.5)
2. 1.8 - 0.5
3. 1.8 + 0.5
4. 1.8 + 0.5
5. 1.8 + (2)(0.5)

We’re given the equation:

=10

Step 1: Multiply both sides by 5

−x+36=50

Step 2: Subtract 36 from both sides

−x=14

Step 3: Multiply both sides by -1

x=−14

Correct answer: D. -14

In this scenario, we're told that as the number of hours worked increases, several other quantities also increase. That means:

• The number of hours worked is causing the changes in other variables.
• The other values (taxes, savings, sick leave) depend on it.

So, the independent variable is the one that doesn't depend on other variables — it's the input or cause.

Correct answer: D. Number of hours worked

We are told:

• Initial population = 1,000
• The bacteria doubles every 3 days
• We want the population after 9 days

Step 1: Determine how many doubling periods in 9 days

9/3=3doublings

Step 2: Double the population 3 times

Populationafter9days=1000×23=1000×8=8000

Correct answer: B. 8,000

We are given:

• Bill = $43.20
• Gratuity = 15%

Step 1: Calculate 15% of $43.20

0.15×43.20=6.48

Step 2: Add the gratuity to the bill

43.20+6.48=49.68

Correct answer: D. $49.68

Let's convert all values to decimals to compare them:

1. 3/4 = 0.75
2. 70% = 0.70
3. 5/7 ≈ 0.714
4. 0.79 = 0.79

Now, arrange from least to greatest:

• 70% (0.70)
• 5/7 (≈0.714)
• 3/4 (0.75)
• 0.79

Final Answer (in order from least to greatest):

70%, 5/7, 3/4, 0.79

Let's analyze the table to determine the relationship between slices of cake and calories.

We’ll use two points to find the calories per slice:

From the table:

• At 2 slices → 960 calories
• At 5 slices → 2,400 calories

Step 1: Find the difference

2,400−960=1,440caloriesincreasefor5−2=3slices

1,4403=480caloriesperslice

We can verify this with another pair:

• At 11 slices: 11×480=5,280
• At 19 slices: 19×480=9,120

Everything checks out.

Correct answer: C. Each slice of cake is 480 calories.

Let's rule out the others:

• A. Says 960 calories per slice — wrong.
• B. Says it's a negative relationship — incorrect, it’s positive.
• D. Claims no direct relationship — incorrect, it’s a linear relationship.

Let's convert all the values to decimals for easy comparison:

• A. 4.4 → already in decimal
• B. 4.25 → already in decimal
• C. 10/3 = 3.33...
• D. 9/2 = 4.5

Compare all values:

• A: 4.4
• B: 4.25
• C: 3.33
• D: 4.5

Correct answer: D. 9/2 (which equals 4.5, the greatest value)

To find the mean of the data, add all the values and divide by the number of values.

Given values:

• 1.34
• 0.18
• 2.1
• 0.77
• 1.41

Step 1: Sum the values

1.34+0.18+2.1+0.77+1.41=5.8

Step 2: Divide by the number of values

There are 5 values:

5.8/5=1.16

Correct answer: C. 1.16