How to pronounce Monterä—jus?

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The Mexican pronunciation of Monterä—jus is

mohn·tai·rai·hoos  

m	sounds like the		'm'	in 'me'
oh	sounds like the		'o'	in 'so'
n	sounds like the		'n'	in 'no'
t	sounds like the		't'	in 'to'
ai	sounds like the		'ai'	in 'pain'
r	sounds like the		'r'	in 'rat'
h	sounds like the		'h'	in 'hat'
oo	sounds like the		'oo'	in 'food'
s	sounds like the		's'	in 'so'