Respuesta :

we have to write an equation

The sum of two and the quotient of a number x and five

Firstly, we will find the quotient of a number x and five

For finding quotient , we always divide

For example: if we have to find quotient of a number 10 and 2

so,

quotient is

[tex] =\frac{10}{2} [/tex]

Similarly , we have to find

the quotient of a number x and five

so, the quotient is

[tex] =\frac{x}{5} [/tex]

now, we need to add 2 with quotient

so, we will get equation as

[tex] =2+\frac{x}{5} [/tex]................Answer

The sum of two and the quotient of a number x and five → 2 + ˣ/₅

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem.

[tex]\texttt{ }[/tex]

Let's write down the word problem into mathematical equation

[tex]\texttt{ }[/tex]

The quotient of a number x and five.

[tex]\texttt{the quotient} = y = x \div 5[/tex]

[tex]\texttt{ }[/tex]

The sum of two and the quotient of a number x and five.

[tex]z = 2 + y[/tex]

[tex]z = 2 + ( x \div 5 )[/tex]

[tex]z = 2 + \frac{x}{5}[/tex]

Conclusion:

The sum of two and the quotient of a number x and five is

[tex]\large { \boxed {2 + \frac{x}{5}} }[/tex]

Learn more

  • Infinite Number of Solutions : https://brainly.com/question/5450548
  • System of Equations : https://brainly.com/question/1995493
  • System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS

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