A grocery store sells milk in half-gallon containers. If 1 Cup equals 16 tablespoons and 1 gallon equals to 16 cups which of the following is the number of tablespoons in each half gallon container?

We are told:

• 3.2 inches of tape is needed per inch of diameter
• The tube has a diameter of 5 inches

Step: Multiply

3.2×5=16 inchesoftape

Correct answer: A. 16 inches

We're told the relationship is proportional and that the point (7, 157.5) lies on the line, meaning:

7 hours → $157.50

To find the hourly rate, divide total earnings by hours:

157.5/7=22.5

So, the employee earns $22.50 per hour.

Correct answer: D. Manaf earns $22.50 per hour

Let's briefly rule out the others:

• A. 22.5 hours is not mentioned in the original data.
• B. $7/hour is incorrect.
• C. $157.50/hour is incorrect (it's the total, not the rate).

An inverse relationship means that as one variable increases, the other decreases.

Let’s evaluate the options:

• A. As the number of credit hours increases, the cost per credit hour decreases.
  → This is an inverse relationship.
• B. As the number of credit hours decreases, the cost per credit hour decreases.
  → This is a direct relationship, not inverse.
• C. Cost remains the same regardless of credit hours.
  → This shows no relationship.
• D. Both increase together.
  → This is a direct relationship.

Correct answer: A.

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

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 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)

Explanation

We are given:

• Pool C drains in 6 hours
• Pool B takes 3 times as long as Pool C →

B=3×6=18hours

• Pool B takes twice as long as Pool A →

A=182=9hours

Correct answer: D. 9

We are given:

• 8 servings of fried rice use 6 oz of peas.
• We need to find how many servings use 100 oz of peas.
• The relationship is proportional.

Step 1: Set up the proportion

=

Step 2: Solve for x

x=8×100/6=800/6≈133.33

Rounding to the nearest whole number:

133​

Correct answer: D. 133

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)

The dependent variable is the one that depends on or is determined by other variables.

In this case:

• Price is determined by the model, mileage, and age

Correct answer: A. Price

Because it depends on the other factors listed.