**A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. **

**Which of the following would be the amount of milk needed for the bigger batch?**

21 3/5 cups

20 1/3cups

23 4/9 cups

23 1/3 cups

*Correct Answer : D*

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as *cup of floor**cup of milk*. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

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### Correct Answer is D

#### Explanation

To simplify this expression, we follow the order of operations as follows:

First, we start with the numerator and solve it as follows

[2(6+3*9)]

We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

[2(6+27)]

Then, we carry out the addition of 6+27=33. Then, the expression yields

[2(33)]=2*33=66

Now, we solve for denominator, which is 6/2=3.

Thus, the expression is reduced into

The expression reduces into 22.

### Correct Answer is A

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### Correct Answer is C

#### Explanation

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The value of x is found as:

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### Correct Answer is B

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Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

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### Correct Answer is D

#### Explanation

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Area of the rectangle, A= Length*width=(x+2)*x

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### Correct Answer is D

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A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.

### Correct Answer is C

#### Explanation

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The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

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### Correct Answer is C

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The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.

### Correct Answer is C

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The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.

### Correct Answer is D

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