Question

12 multiple choice 2 points which value of x is the solution of the equation $\frac{2}{3}x+\frac{1}{2}=\frac{5}{6}$ $\frac{3}{2}$ $\frac{1}{2}$ $\frac{2}{3}$ 2 13 multiple choice 2 points in the equation 0.03x - 0.1 = 2.6, what is the value of x? 130 120 9 90 14 multiple choice 2 points which set contains the number $pi$? natural numbers irrational numbers rational numbers integers

Explanation:

12.

Step1: Isolate the term with x

Subtract $\frac{1}{2}$ from both sides of the equation $\frac{2}{3}x+\frac{1}{2}=\frac{5}{6}$.
$\frac{2}{3}x=\frac{5}{6}-\frac{1}{2}$.

Step2: Calculate the right - hand side

Find a common denominator for the right - hand side. $\frac{5}{6}-\frac{1}{2}=\frac{5}{6}-\frac{3}{6}=\frac{5 - 3}{6}=\frac{2}{6}=\frac{1}{3}$. So, $\frac{2}{3}x=\frac{1}{3}$.

Step3: Solve for x

Multiply both sides by $\frac{3}{2}$ to get $x=\frac{1}{3}\times\frac{3}{2}=\frac{1}{2}$.

Step1: Isolate the term with x

Add 0.1 to both sides of the equation $0.03x−0.1 = 2.6$.
$0.03x=2.6 + 0.1$.

Step2: Calculate the right - hand side

$2.6+0.1 = 2.7$. So, $0.03x=2.7$.

Step3: Solve for x

Divide both sides by 0.03. $x=\frac{2.7}{0.03}=\frac{270}{3}=90$.

Natural numbers are positive whole numbers like 1, 2, 3, etc. Integers include positive and negative whole numbers and 0. Rational numbers are numbers that can be written as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and $b
eq0$. $\pi$ is a non - repeating, non - terminating decimal and cannot be written as a fraction of two integers. Irrational numbers are non - rational real numbers.

Answer:

$\frac{1}{2}$

13.