**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 A

#### Explanation

We convert the given word problem into a mathematical expression.

Let the number be x.

Thrice a number = 3x

Twelve less than thrice a number = 3x-12

Thus, the required mathematical expression is 3x-12

### 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 D

#### Explanation

Looking at the give curve, we analyze each statement as:

- For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
- For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
- For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
- For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.

### 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 B

#### Explanation

Â we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as

Discount=mark off rate*original price

Discount=15%*$78

Convert 15% into a fraction, which become 15/100=0.15. Then

Discount=0.15*$78=$11.70

The selling price of the sweater will be the original price less the discount or mark off value. Then,

Thus, the approximate selling price of the sweater is $66.

### Correct Answer is D

#### Explanation

Before we compare the values of the options, we convert the decimals to fractions.

5.4 becomes 54/10

6.25 becomes 625/100

Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

11/2*300=1650

54/10*300=1620

13/3*300=1300

625/100*300=1875

From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.

### 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 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

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 A

#### Explanation

: 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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