**Which of the following is the value of x in the equation below**

x= -4 or x=2

x= -2 or x=3

x =-2 or x= 4

x= -2 or x= 1

*Correct Answer : B*

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If * * , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.

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Related Questions

### Correct Answer is D

#### Explanation

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then** **

Width of the rectangle= w

Length of rectangle=(w+5)

Area of the rectangle, A= Length*width=(w+5)*w

A=w(w+5)

Thus, the area of the rectangular room is w(w+5).

### Correct Answer is B

#### Explanation

The number of boxes is determined by volume of the room divided by volume of one box.

Number of boxes

Therefore, about 24 boxes can be stacked in the room.

### Correct Answer is D

#### Explanation

The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:

-5, -1, 0, 3, 9

There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.

### Correct Answer is D

#### Explanation

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

First, we convert 2 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 60, the above equation result to

Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.

### Correct Answer is A

#### Explanation

To find the cheapest option, we determine how much the consumer will spend in each option given above:

1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22

3 one 24-pack of Orange=3($8)=$24

1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29

4 packs of cream Soda=4($6)=$24

The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.

### Correct Answer is A

#### Explanation

The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.

### Correct Answer is A

#### Explanation

Let the unknown length of the x. The resulting triangle is shown below.

We use the Pythagoras theorem as follows to find the unknown value of x as:

* *

Thus, the value of unknown side of the triangle is 21.8 feet.

### Correct Answer is D

#### Explanation

In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.

### Correct Answer is C

#### Explanation

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)

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

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.

### Correct Answer is A

#### Explanation

we need to find the portion of pizza shared by other three friends.

Two friends eat half of the pizza, which is ½

And the remaining amount of pizza,

Now, the other three friends share ½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.

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