**Which of the following is the independent variable in the equation below?**

**F(x)=5x+10**

10

F

5

x

*Correct Answer : D*

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

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Related Questions

### Correct Answer is A

#### Explanation

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.

### Correct Answer is D

#### Explanation

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

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

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).

### Correct Answer is A

#### Explanation

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.

### Correct Answer is D

#### Explanation

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

### 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 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

-19/10*30=-57

-8/3*30=-24

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

### Correct Answer is A

#### Explanation

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

### Correct Answer is C

#### Explanation

The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows. Â

The value of x is found as:

The value of the unknown leg side of a triangle is about 9.8 feet.

### Correct Answer is C

#### Explanation

We are asked to find the fraction of pizza the three friends shared equally.

First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:

First friend eats =1/4 of 1=1/4*1=1/4

Remaining fraction of the pizza=1-1/4=3/4

Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.

### Correct Answer is D

#### Explanation

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with 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.

*x **1 full tank**=**18**5** gallons**2**3**full tank*

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

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