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frez [133]
3 years ago
14

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

o lo divido entre 23 y finalmente le sumo 20, obtendré el número 21. ¿EN QUE AÑO nació mauricio?
Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si x es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

\frac{(x+13)-10}{23} +20 = 21

Ahora, se desarrolla y se simplifica la ecuación:

\frac{x+3}{23}+20 = 21

\frac{x+3}{23} = 1

Se despeja x:

x +3 = 23

x = 20

Mauricio tiene 20 años.

Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:

y = 2020-20

y = 2000

Mauricio nació en el año 2000.

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Answer:

The probability that Katie will draw a face card on her next turn is 3/13, or approximately 23%.

Step-by-step explanation:

In a regular deck, there are four suits (clubs, spades, hearts and diamonds).  Each suit has 13 cards that go from 2 - 10 plus the Ace, King, Queen and Jack.  Since Katie is playing using a 26-card deck of only two suits, then there are only two kings, two queens and two jacks in the entire deck.  In order to find probability, we form a fraction where the denominator is the total number of outcomes, in this case 26, and the numerator is the number of desired outcomes, in this case the total number of face cards in the deck - 6.  So, the probability that Katie will choose a face card on the next turn is 6/26, which simplifies to 3/13 in lowest terms.  

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klemol [59]
No, she is not correct.

A "composite" is a number that can be divided evenly (no decimals) by something other than itself (43) and 1.

43 has no other numbers that can divide into it and leave it a whole number.
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What is the value of x? 114° 2x a. 38 b. 57° c. 76° d. 85°​
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you drop a ball from a height of 98 feet. at the same time, your friend throws a ball upward. the polynomials represent the heig
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a) h_0 -u_y t

b) See interpretation below

Step-by-step explanation:

a)

The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.

Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

g=32 ft/s^2

in the downward direction.

For the ball dropped from the initial height of h_0 = 98 ft, the height at time t is given by

h(t) = h_0 -\frac{1}{2}gt^2 (1)

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity u_y, and its starting height is zero, so its position at time t is given by

h'(t)=u_y t - \frac{1}{2}gt^2 (2)

Therefore, the polynomial that represents the distance between the two balls is:

h(t)-h'(t)=h_0 - \frac{1}{2}gt^2 - (u_y t - \frac{1}{2}gt^2) = h_0 -u_y t

b)

Now we interpret this polynomial, which is:

\Delta h(t) = h_0 -u_y t

which represents the distance between the two balls at time t.

The interpretation of the two terms is the following:

- The constant term, h_0, is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem, h_0 = 98 ft

- The coefficient of the linear term, u_y, is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by u_y feet.

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3 years ago
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