Respuesta :

Answer:

[tex]\frac{x}{8}+5[/tex]= 42.

Step-by-step explanation:

given:five more than The quotient of a number and eight is 42.

To find: Expression .

Solution: we have given that five more than The quotient of a number and eight is 42.

let the number x .

According to question

quotient of a number and eight  = [tex]\frac{x}{8}[/tex]

five more than The quotient of a number and eight is 42 =[tex]\frac{x}{8}+5[/tex]= 42.

Therefore , [tex]\frac{x}{8}+5[/tex]= 42.

The quotients of numbers simply means the division of the said numbers.

The number is 296

Let the number be x.

The quotient of x and 8 means x divided by 8:  

[tex]\frac{x}{8}[/tex]

5 more than this quotient is represented as:

[tex]5 + \frac{x}{8}[/tex]

So, we have:

[tex]5 + \frac{x}{8} = 42[/tex]

Subtract 5 from both sides

[tex]\frac{x}{8} = 42 -5[/tex]

[tex]\frac{x}{8} = 37[/tex]

Multiply both sides by 8

[tex]x = 37 \times 8[/tex]

[tex]x = 296[/tex]

Hence, the number is 296.

Read more about quotients at:

https://brainly.com/question/16134410