**3(x-2)=12**

**Solve the equation above for x. Which of the following is the correct answer?**

6

-2

-4

2

*Correct Answer : A*

: In order to solve for the value of x, we use the order of operations as follows:

The first step is to divide both sides by 3

Add 2 to both sides to eliminate it from the left-hand side of the equation

**x-2+2=4+2**

**x = 6**

Thus, the value of x is 6.

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Related Questions

### Correct Answer is B

#### Explanation

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.

Total distance=5+3=8 miles

Total time=25+15=40 minutes

We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be: Â

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

In 5 minutes, the athlete runs 1 mile.

### Correct Answer is A

#### Explanation

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:

The unknown length of the triangle is about 16.7 feet.

### Correct Answer is B

#### Explanation

: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

The fraction above reduces into

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

Â

In ratio form, girls: boys=13:11

Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.

### Correct Answer is D

#### Explanation

We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:

*Â Â Â Â Â Â *

Or

Â Â Â Â Â

Since we are looking for mL, we use the second option.

Â Â Â Â Â

Thus, 5.5 teaspoons can hold approximately 27 mL.

### Correct Answer is B

#### Explanation

An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.

### Correct Answer is C

#### Explanation

from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:

*Â Â Â Â Â Â *

Or

Â Â Â Â Â Â Â Â

The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:

*Â Â Â Â Â Â Â Â Â Â *

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 1380 oz of ammonia.

### Correct Answer is D

#### Explanation

to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is

*3/**4***100%=75%*

Thus, 3/4is equal to 75%.

### Correct Answer is B

#### Explanation

Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.

### Correct Answer is B

#### Explanation

To solve this problem, first find the radius of the circle.

### Correct Answer is D

#### Explanation

Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows

35+192*=*227

258+350*=*608

947+1032*=*1979

From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.

694+7618=8312

We can approximate 8312 based on the provided choices is 8310.

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