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Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim. Write a formula that will tell you the value of R for any value of N. Using the previous formula, write the formula that could help Jim guess Anne’s number N as soon as he is given the value of the result R

Respuesta :

elcharly64

Answer:

[tex]R=5N+7[/tex]

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

Step-by-step explanation:

Equations

The relation between the number thought by Ann (N) and the final result (R) can be expressed as

[tex]R=5N+7[/tex]

So if for example, Ann thought in the number N=12, then  

[tex]R=5\times 12+7=67[/tex]

If we know the value of R, it's easy to find back the value of N by solving the equation

[tex]R=5N+7[/tex]

subtracting 7 on each side

[tex]R-7=5N[/tex]

Dividing by 5

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

So, if Ann tells Jim that R = 52, he can guess her number is

[tex]\displaystyle N=\frac{52-7}{5}[/tex]

[tex]N=9[/tex]

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