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Sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure. what is the actual pressure when Sue's gauge shows 39.42? show how you got answer

Respuesta :

ulicat1
39.42=(100%+8%)=108%
x=100%

39.42/x = 108/100
x=39.42*100/108
x=36,5 
actual pressure will be 36,5
JannetPalos

Answer:

Actual pressure = 36.5.

Step-by-step explanation:

Let the actual pressure be x.

Pressure on Sue's gauge shows 8% higher than the actual pressure.

8% more of x = x + 0.08x

= 1.08x

It is also given that the pressure on Sue's gauge = 39.42

Therefore, 1.08x = 39.42

Divide both sides by 1.08.

x = [tex]\frac{39.42}{1.08}[/tex]

= 36.5

Hence, actual pressure = 36.5.

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