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

A. x= -4/3 or x=2

B. x= -1 or x=2

C. x =-2 or x= 1

D. x= -3/2 or x= 1/2

Answer Explanation:

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

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

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

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

Therefore, the Correct Answer is A.

Q #1: Which of the following is the decimal form of 58.7%?

A. 0.587

B. 5,870

C. 5.87

D. 587

Answer Explanation

percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.

The decimal form of 58.7% is 0.587.
Q #2: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 4/5

D. 18 9/10

Answer Explanation

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Q #3: Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?

A. 1/6

B. 1/3

C. ¼

D. 1/5

Answer Explanation

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

We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is

Remaining fraction of the pizza=1-1/2=1/2

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

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