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if a number is increased by 5 and the result is then divided by three,the result is seven. write an equation that models this verbal description and solve the equation for the number described

Respuesta :

matthewortega77
A number (we don’t know the number so I’ll use X) plus five. So we can start the equation of with X+5 then divided by 3=7 so X+5➗3=7 so to solve what X is we can just go in reverse. 7 TIMES 3= 21-5=16 so X=16

Answer:

The required equation is [tex]\frac{x+5}{3}=7[/tex]

The value of x is 16.

Step-by-step explanation:

Consider the provided information.

if a number is increased by 5 and the result is then divided by three,the result is seven.

Let the number is represented by x.

Increase the number by 5: x+5

Now divide the result by 3, and result is seven.

This can be written as:

[tex]\frac{x+5}{3}=7[/tex]

Now solve the equation for x as shown.

[tex]\frac{x+5}{3}=7[/tex]

[tex]x+5=21[/tex]

Subtract 5 from both sides.

[tex]x=16[/tex]

Hence the value of x is 16.

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