Answer:
Mauricio nació en el año 2000.
Step-by-step explanation:
Supóngase que el cumpleaños se celebra en el año 2020, si
es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

Ahora, se desarrolla y se simplifica la ecuación:

Se despeja
:


Mauricio tiene 20 años.
Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:


Mauricio nació en el año 2000.
Answer:
2 minutes, 40 seconds
Step-by-step explanation:
set up a proportion and cross-multiply:
4/3 = x/2
3x = 8
x = 2 2/3 which is 2 minutes, 40 seconds
Answer:
A
Step-by-step explanation:
To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)
4*8 = denominator for both numbers.
8*1 = numerator for the first number
4*1 = numerator for the second number.
This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.
I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can! :)
Answer: There are 13 gamblers who played exactly two games.
Step-by-step explanation:
Since we have given that
Number of gamblers played black jack, roulette and poker = 5
Number of gamblers played roulette and poker = 8
Number of gamblers played black jack and roulette = 11
Number of gamblers played only poker = 12
Number of gamblers played poker = 24
Number of gamblers who played only roulette and poker is given by

Number of gamblers who played only black jack and roulette is given by

Number of gamblers who played only poker and black jack is given by

So, the number of gamblers who played exactly two games is given by

Hence, there are 13 gamblers who played exactly two games.