**As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?**

Amount of access fees

Amount of tuition

Number of student loans available

Number of credit hours

*Correct Answer : D*

A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.

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### Correct Answer is C

#### Explanation

Centimeteris the appropriate unit to measure the length of a dollar bill.

### Correct Answer is C

#### Explanation

We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.

Length of rectangle=(x+5)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+5)*x

A=x(x+5)

Thus, the area of the rectangle is x(x+5).

### Correct Answer is C

#### Explanation

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 8.9 feet.

### Correct Answer is B

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We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

Next, we apply the absolute rule:

,Â Â a>0, then u=a or u=-a

In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -1 or 2.

### Correct Answer is D

#### Explanation

We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.

Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

Cross-multiply to find the value of x

A recipe of 2.5 teaspoons equals 12.325 mL.

### Correct Answer is C

#### Explanation

The number of boxes is determined by finding the volume of the room divided by the volume of the box.

Number of boxes

The approximate number of boxes that can be stored in the room is 92.

### Correct Answer is B

#### Explanation

By inspection, we find the corresponding values of the given denominations in the following manner.

### Correct Answer is C

#### Explanation

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.

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The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

Cross-multiply to find the value of x

Thus, the minimum length of the ramp needed is **30 feet** to access to a door that is 2.5 feet above the sidewalk.

### Correct Answer is C

#### Explanation

We are asked to make x the subject of the formula.

First, we add z to both sides of the equation

Multiply both sides by y

The above equation can be rearranged into

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