**The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?**

Amount of salary

Charge fee

Working hours

Sales of stocks

*Correct Answer : A*

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.

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### Correct Answer is D

#### Explanation

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 B

#### Explanation

The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

-6, -4, 1, 8, 12

There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

### Correct Answer is C

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we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

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

### Correct Answer is A

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we are tasked to find the number of cups of flour that will be used to make 90 cookies.

This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

Solve the value of x by cross-products

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The baker needs 15.75 cups of flour to make 120 cookies.Â 15.75 in mixed fraction isÂ Â

### Correct Answer is C

#### Explanation

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

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25/2*300=3750

1235/100*300=3705

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From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

### Correct Answer is D

#### Explanation

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

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James’s uncle’s age is m=3n-13

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### Correct Answer is A

#### Explanation

To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

-0.9 becomes 9/10

-1.9 becomes 19/10

Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

-3/5*30=-18

-9/10*30=-27

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-8/3*30=-24

The greatest number is -18, meaning -3/5 is the greatest number.

### Correct Answer is B

#### Explanation

we are asked to find the amount of milk in mL using the given information.

If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

A recipe of 3.4 teaspoons is equal to 17.0 mL.

### Correct Answer is C

#### Explanation

we need to find the circumference of the circle from the given area.

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

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to beÂ 9 in, the circumference of the circle becomes,

*Â *Â in.

### Correct Answer is A

#### Explanation

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.

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