Tuesday, December 28, 2010
Monday, December 13, 2010
Saturday, December 4, 2010
Sunday, November 7, 2010
Friday, November 5, 2010
Wednesday, October 13, 2010
Tuesday, October 12, 2010
Tuesday, September 21, 2010
Friday, September 17, 2010
Thursday, September 16, 2010
Wednesday, September 15, 2010
Monday, August 16, 2010
Friday, August 6, 2010
Bee Gees: Stayin' Alive
Bee Gees - Stayin' Alive Lyrics
Well, you can tell by the way I use my walk,
I'm a woman's man: no time to talk.
Music loud and women warm, I've been kicked around
since I was born.
And now it's all right. It's OK.
And you may look the other way.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Well now, I get low and I get high,
and if I can't get either, I really try.
Got the wings of heaven on my shoes.
I'm a dancin' man and I just can't lose.
You know it's all right. It's OK.
I'll live to see another day.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me.
Somebody help me yeah. Stayin' alive.
Well, you can tell by the way I use my walk,
I'm a woman's man: no time to talk.
Music loud and women warm, I've been kicked around
since I was born.
And now it's all right. It's OK.
And you may look the other way.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me yeah.
I'm Stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me yeah.
I'm Stayin' alive.
Well, you can tell by the way I use my walk,
I'm a woman's man: no time to talk.
Music loud and women warm, I've been kicked around
since I was born.
And now it's all right. It's OK.
And you may look the other way.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Well now, I get low and I get high,
and if I can't get either, I really try.
Got the wings of heaven on my shoes.
I'm a dancin' man and I just can't lose.
You know it's all right. It's OK.
I'll live to see another day.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me.
Somebody help me yeah. Stayin' alive.
Well, you can tell by the way I use my walk,
I'm a woman's man: no time to talk.
Music loud and women warm, I've been kicked around
since I was born.
And now it's all right. It's OK.
And you may look the other way.
We can try to understand
the New York Time's effect on man.
Whether you're a brother or whether you're a mother,
you're stayin' alive, stayin' alive.
Feel the city breakin' and everybody shakin',
and we're stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive, stayin' alive.
Ah, ha, ha, ha, stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me yeah.
I'm Stayin' alive.
Life goin' nowhere. Somebody help me.
Somebody help me, yeah.
Life goin' nowhere. Somebody help me yeah.
I'm Stayin' alive.
Bee Gees: Night Fever
Bee Gees - Night Fever Lyrics
Listen to the ground:
there is movement all around.
There is something goin' down
and I can feel it.
On the waves of the air,
there is dancin' out there.
If it's somethin' we can share,
we can steal it.
And that sweet city woman,
She moves through the light,
Controlling my mind and my soul.
When you reach out for me
Girl, and the feelin' is right,
Then I get night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Here I am,
Prayin' for this moment to last,
Livin' on the music so fine,
Borne on the wind,
Makin' it mine.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
In the heat of our love,
Don't need no help for us to make it.
Gimme just enough to take us to the mornin'.
I got fire in my mind.
I get higher in my walkin'.
And I'm glowin' in the dark;
I give you warnin'.
And that sweet city woman,
She moves through the light,
Controlling my mind and my soul.
When you reach out for me
Girl, and the feelin' is right,
Then I get night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Here I am,
Prayin' for this moment to last,
Livin' on the music so fine,
Borne on the wind,
Makin' it mine.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Listen to the ground:
there is movement all around.
There is something goin' down
and I can feel it.
On the waves of the air,
there is dancin' out there.
If it's somethin' we can share,
we can steal it.
And that sweet city woman,
She moves through the light,
Controlling my mind and my soul.
When you reach out for me
Girl, and the feelin' is right,
Then I get night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Here I am,
Prayin' for this moment to last,
Livin' on the music so fine,
Borne on the wind,
Makin' it mine.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
In the heat of our love,
Don't need no help for us to make it.
Gimme just enough to take us to the mornin'.
I got fire in my mind.
I get higher in my walkin'.
And I'm glowin' in the dark;
I give you warnin'.
And that sweet city woman,
She moves through the light,
Controlling my mind and my soul.
When you reach out for me
Girl, and the feelin' is right,
Then I get night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Here I am,
Prayin' for this moment to last,
Livin' on the music so fine,
Borne on the wind,
Makin' it mine.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Night fever, night fever.
We know how to do it.
Gimme that night fever, night fever.
We know how to show it.
Rasputin
There lived a certain man in Russia long ago
He was big and strong, in his eyes a flaming glow
Most people looked at him with terror and with fear
But to Moscow chicks he was such a lovely dear
He could preach the bible like a preacher
Full of ecstacy and fire
But he also was the kind of teacher
Women would desire
RA RA RASPUTIN
Lover of the Russian queen
There was a cat that really was gone
RA RA RASPUTIN
Russia's greatest love machine
It was a shame how he carried on
He ruled the Russian land and never mind the czar
But the kasachok he danced really wunderbar
In all affairs of state he was the man to please
But he was real great when he had a girl to squeeze
For the queen he was no wheeler dealer
Though she'd heard the things he'd done
She believed he was a holy healer
Who would heal her son
RA RA RASPUTIN
Lover of the Russian queen
There was a cat that really was gone
RA RA RASPUTIN
Russia's greatest love machine
It was a shame how he carried on
(Spoken:)
But when his drinking and lusting and his hunger
for power became known to more and more people,
the demands to do something about this outrageous
man became louder and louder.
"This man's just got to go!" declared his enemies
But the ladies begged "Don't you try to do it, please"
No doubt this Rasputin had lots of hidden charms
Though he was a brute they just fell into his arms
Then one night some men of higher standing
Set a trap, they're not to blame
"Come to visit us" they kept demanding
And he really came
RA RA RASPUTIN
Lover of the Russian queen
They put some poison into his wine
RA RA RASPUTIN
Russia's greatest love machine
He drank it all and he said "I feel fine"
RA RA RASPUTIN
Lover of the Russian queen
They didn't quit, they wanted his head
RA RA RASPUTIN
Russia's greatest love machine
And so they shot him till he was dead
(Spoken:) Oh, those Russians...
He was big and strong, in his eyes a flaming glow
Most people looked at him with terror and with fear
But to Moscow chicks he was such a lovely dear
He could preach the bible like a preacher
Full of ecstacy and fire
But he also was the kind of teacher
Women would desire
RA RA RASPUTIN
Lover of the Russian queen
There was a cat that really was gone
RA RA RASPUTIN
Russia's greatest love machine
It was a shame how he carried on
He ruled the Russian land and never mind the czar
But the kasachok he danced really wunderbar
In all affairs of state he was the man to please
But he was real great when he had a girl to squeeze
For the queen he was no wheeler dealer
Though she'd heard the things he'd done
She believed he was a holy healer
Who would heal her son
RA RA RASPUTIN
Lover of the Russian queen
There was a cat that really was gone
RA RA RASPUTIN
Russia's greatest love machine
It was a shame how he carried on
(Spoken:)
But when his drinking and lusting and his hunger
for power became known to more and more people,
the demands to do something about this outrageous
man became louder and louder.
"This man's just got to go!" declared his enemies
But the ladies begged "Don't you try to do it, please"
No doubt this Rasputin had lots of hidden charms
Though he was a brute they just fell into his arms
Then one night some men of higher standing
Set a trap, they're not to blame
"Come to visit us" they kept demanding
And he really came
RA RA RASPUTIN
Lover of the Russian queen
They put some poison into his wine
RA RA RASPUTIN
Russia's greatest love machine
He drank it all and he said "I feel fine"
RA RA RASPUTIN
Lover of the Russian queen
They didn't quit, they wanted his head
RA RA RASPUTIN
Russia's greatest love machine
And so they shot him till he was dead
(Spoken:) Oh, those Russians...
Tuesday, July 27, 2010
Sunday, July 18, 2010
Friday, July 16, 2010
Thursday, July 15, 2010
Monday, July 12, 2010
Sunday, July 11, 2010
Friday, July 9, 2010
Friday, May 7, 2010
Thursday, May 6, 2010
Wednesday, April 28, 2010
Wednesday, April 21, 2010
Tuesday, April 13, 2010
Wednesday, April 7, 2010
Emjay: We All Need Love
Deep inside I've got the feeling
Got the feeling that takes me far away
Running high I gotta have you
Gotta have you, gotta hold you everyday
Everytime I think about all the love
That fills around me
I can always feel the magic touch
And heaven above me
You gotta let you see it's good
Can never too much love can make lovers survive
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Through the night I keep on searching
Keep on searching for this lover treat me right
And holding on, you know I want you
Know I want you and need you through the night
Every prophecy of you and me
It's still the passion
In a world love ever likes to learn with no destruction
Take me higher where I've never been
Let's make it happen
Two hearts together as one.
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down ...
We all need love, love, love ...
Got the feeling that takes me far away
Running high I gotta have you
Gotta have you, gotta hold you everyday
Everytime I think about all the love
That fills around me
I can always feel the magic touch
And heaven above me
You gotta let you see it's good
Can never too much love can make lovers survive
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Through the night I keep on searching
Keep on searching for this lover treat me right
And holding on, you know I want you
Know I want you and need you through the night
Every prophecy of you and me
It's still the passion
In a world love ever likes to learn with no destruction
Take me higher where I've never been
Let's make it happen
Two hearts together as one.
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down
We all need love
Love is what it takes to make the world go round
We all need love
Love can make me stop when others bring us down ...
We all need love, love, love ...
Emjay - We All Need Love
Thursday, April 1, 2010
Guns N' Roses: Don't Cry
Talk to me softly
There's something in your eyes
Don't hang your head in sorrow
And please don't cry
I know how you feel inside I've
I've been there before
Something's changin' inside you
And don't you know
Don't you cry tonight
I still love you baby
Don't you cry tonight
Don't you cry tonight
There's a heaven above you baby
And don't you cry tonight
Give me a whisper
And give me a sigh
Give me a kiss before you
Tell me goodbye
Don't you take it so hard now
And please don't take it so bad
I'll still be thinkin' of you
And the times we had...baby
And don't you cry tonight
Don't you cry tonight
Don't you cry tonight
There's a heaven above you baby
And don't you cry tonight
And please remember that I never lied
And please remember
How I felt inside now honey
You gotta make it your own way
But you'll be alright now sugar
You'll feel better tomorrow
Come the morning light now baby
And don't you cry tonight
And don't you cry tonight
And don't you cry tonight
There's a heaven above you baby
And don't you cry
Don't you ever cry
Don't you cry tonight
Baby maybe someday
Don't you cry
Don't you ever cry
Don't you cry
Tonight
There's something in your eyes
Don't hang your head in sorrow
And please don't cry
I know how you feel inside I've
I've been there before
Something's changin' inside you
And don't you know
Don't you cry tonight
I still love you baby
Don't you cry tonight
Don't you cry tonight
There's a heaven above you baby
And don't you cry tonight
Give me a whisper
And give me a sigh
Give me a kiss before you
Tell me goodbye
Don't you take it so hard now
And please don't take it so bad
I'll still be thinkin' of you
And the times we had...baby
And don't you cry tonight
Don't you cry tonight
Don't you cry tonight
There's a heaven above you baby
And don't you cry tonight
And please remember that I never lied
And please remember
How I felt inside now honey
You gotta make it your own way
But you'll be alright now sugar
You'll feel better tomorrow
Come the morning light now baby
And don't you cry tonight
And don't you cry tonight
And don't you cry tonight
There's a heaven above you baby
And don't you cry
Don't you ever cry
Don't you cry tonight
Baby maybe someday
Don't you cry
Don't you ever cry
Don't you cry
Tonight
Guns N' Roses: November Rain
When I look into your eyes
I can see a love restrained
But darlin' when I hold you
Don't you know I feel the same
'Cause nothin' lasts forever
And we both know hearts can change
And it's hard to hold a candle
In the cold November rain
We've been through this such a long long time
Just tryin' to kill the pain
But lovers always come and lovers always go
And no one's really sure who's lettin' go today
Walking away
If we could take the time
To lay it on the line
I could rest my head
Just knowin' that you were mine
All mine
So if you want to love me
Then darlin' don't refrain
Or I'll just end up walkin'
In the cold November rain
Do you need some time...on your own
Do you need some time...all alone
Everybody needs some time... on their own
Don't you know you need some time...all alone
I know it's hard to keep an open heart
When even friends seem out to harm you
But if you could heal a broken heart
Wouldn't time be out to charm you
Sometimes I need some time...on my own
Sometimes I need some time...all alone
Everybody needs some time... on their own
Don't you know you need some time...all alone
And when your fears subside
And shadows still remain
I know that you can love me
When there's no one left to blame
So never mind the darkness
We still can find a way
'Cause nothin' lasts forever
Even cold November rain
Don't ya think that you need somebody
Don't ya think that you need someone
Everybody needs somebody
You're not the only one
You're not the only one
I can see a love restrained
But darlin' when I hold you
Don't you know I feel the same
'Cause nothin' lasts forever
And we both know hearts can change
And it's hard to hold a candle
In the cold November rain
We've been through this such a long long time
Just tryin' to kill the pain
But lovers always come and lovers always go
And no one's really sure who's lettin' go today
Walking away
If we could take the time
To lay it on the line
I could rest my head
Just knowin' that you were mine
All mine
So if you want to love me
Then darlin' don't refrain
Or I'll just end up walkin'
In the cold November rain
Do you need some time...on your own
Do you need some time...all alone
Everybody needs some time... on their own
Don't you know you need some time...all alone
I know it's hard to keep an open heart
When even friends seem out to harm you
But if you could heal a broken heart
Wouldn't time be out to charm you
Sometimes I need some time...on my own
Sometimes I need some time...all alone
Everybody needs some time... on their own
Don't you know you need some time...all alone
And when your fears subside
And shadows still remain
I know that you can love me
When there's no one left to blame
So never mind the darkness
We still can find a way
'Cause nothin' lasts forever
Even cold November rain
Don't ya think that you need somebody
Don't ya think that you need someone
Everybody needs somebody
You're not the only one
You're not the only one
Tuesday, March 9, 2010
II Simulacro Tello: R.M.1
Solución 16::
Solución 17::
Solución 18::
Solución 19::
Solución 20::
Analizando el proceso de adelante para atrás:
Al final todavía quedan " 10 " litros, así:
(10 + 5) x 2 = 30 (antes de empezar 3ra extracción)
(30 + 5) x 2 = 70 (antes de empezar 2da extracción)
(70 + 5) x 2 = 150 (antes de empezar a extraer)
Al final todavía quedan " 10 " litros, así:
(10 + 5) x 2 = 30 (antes de empezar 3ra extracción)
(30 + 5) x 2 = 70 (antes de empezar 2da extracción)
(70 + 5) x 2 = 150 (antes de empezar a extraer)
Solución 17::
Analizando el proceso de adelante para atrás:
Al final se obtiene " 2 ", así:
2 + 4 = 6
62 = 36
36x10 = 360
360 - 60 = 300
(300/5) = 60
O todo de golpe: [10x(2 + 4)2 - 60]/5 = 60
Al final se obtiene " 2 ", así:
2 + 4 = 6
62 = 36
36x10 = 360
360 - 60 = 300
(300/5) = 60
O todo de golpe: [10x(2 + 4)2 - 60]/5 = 60
Solución 18::
Analizando el proceso de adelante para atrás:
Se aumenta 400 y luego se divide entre 2.
Si al final me quedé con " 0 " soles =>
(0 + 400)/2 = 200 (lo que tenía antes de la 4ta visita)
(200 + 400)/2 = 300 (lo que tenía antes de la 3ra visita)
(300 + 400)/2 = 350 (lo que tenía antes de la 2da visita)
(350 + 400)/2 = 375 (lo que tenía antes de la 1ra visita)
Se aumenta 400 y luego se divide entre 2.
Si al final me quedé con " 0 " soles =>
(0 + 400)/2 = 200 (lo que tenía antes de la 4ta visita)
(200 + 400)/2 = 300 (lo que tenía antes de la 3ra visita)
(300 + 400)/2 = 350 (lo que tenía antes de la 2da visita)
(350 + 400)/2 = 375 (lo que tenía antes de la 1ra visita)
Solución 19::
m: número de mujeres ; h: número de hombres
Se tiene: h + m = 40 ;
También: 3h = 60 + (m/3) => 9h - m = 180
Luego: 10h = 220 => h = 22 => m = 18
Se tiene: h + m = 40 ;
También: 3h = 60 + (m/3) => 9h - m = 180
Luego: 10h = 220 => h = 22 => m = 18
Solución 20::
A: Gasto de la familia A ; B: Gasto de la familia B
C: Gasto de la familia C ; D: Gasto de la familia D
Se tiene:
(A/B) = (1/3) ; (B/C) = (5/2) ; (C/D) = (3/4) => (A/D) = (5/8)
Si: D = 200 => A = 125
C: Gasto de la familia C ; D: Gasto de la familia D
Se tiene:
(A/B) = (1/3) ; (B/C) = (5/2) ; (C/D) = (3/4) => (A/D) = (5/8)
Si: D = 200 => A = 125
II Simulacro Tello: R.M.2
Solución 21::
Solución 22::
Solución 23::
Solución 24::
Solución 25::
D: Daniel ; A: Abigail ; G: Gerson
D/A = 100/40
A/G = 100/60
=> D/G = 100/24 => Preguntas de ventaja = 100 - 24 = 76
D/A = 100/40
A/G = 100/60
=> D/G = 100/24 => Preguntas de ventaja = 100 - 24 = 76
Solución 22::
a: número de pasajeros adultos
u: número de pasajeros universitarios
Luego: a + u = 150
Y: 1.5a + u = 187
Resolviendo el sistema de ecuaciones: 0.5a = 37
Así: a = 74
u: número de pasajeros universitarios
Luego: a + u = 150
Y: 1.5a + u = 187
Resolviendo el sistema de ecuaciones: 0.5a = 37
Así: a = 74
Solución 23::
d: número de clases dictadas
f: número de clases en que falta
Luego: d + f = 40
Y: 15d - 5f = 0
Resolviendo el sistema de ecuaciones: d = 10
Así: f = 30
f: número de clases en que falta
Luego: d + f = 40
Y: 15d - 5f = 0
Resolviendo el sistema de ecuaciones: d = 10
Así: f = 30
Solución 24::
Patrón: Restar izquierda menos derecha y luego por 3
95 (219) 22 => (95-22)x3 = 219
45 (.....) 19 => (45-19)x3 = 78
95 (219) 22 => (95-22)x3 = 219
45 (.....) 19 => (45-19)x3 = 78
Solución 25::
Patrón: Suma de las cifras de los números laterales:
214 (20) 256 => 2+1+4+2+5+6 = 20
63 (23) 428 => 6+3+4+2+8 = 23
952 (...) 317 => 9+5+2+3+1+7 = 27
214 (20) 256 => 2+1+4+2+5+6 = 20
63 (23) 428 => 6+3+4+2+8 = 23
952 (...) 317 => 9+5+2+3+1+7 = 27
II Simulacro Tello: R.M.3
Solución 26::
Solución 27::
Solución 28::
Solución 29::
Solución 30::
Digamos que al empezar el 3er juego tiene x.
Y en este 3er juego gana el doble, osea 2x,
teniendo en total 3x = 4800 => x = 1600. Así:
Al empezar el 2do juego tenía: 1600 x (5/4) = 2000
Al empezar el 1er juego tenía: 2000 x (5/4) = 2500
Y en este 3er juego gana el doble, osea 2x,
teniendo en total 3x = 4800 => x = 1600. Así:
Al empezar el 2do juego tenía: 1600 x (5/4) = 2000
Al empezar el 1er juego tenía: 2000 x (5/4) = 2500
Solución 27::
s: valor de la sortija. Luego:
1400 + s = 12k ;
900 + s = 8K ;
Restando se obtiene: 500 = 4k => k = 125
De donde: s = 100
1400 + s = 12k ;
900 + s = 8K ;
Restando se obtiene: 500 = 4k => k = 125
De donde: s = 100
Solución 28::
P (7) 6
Q (5) 1
4 (3) 8
En la columna central: 5 = (7 + 3) / 2
En diagonal de 4, 5, 6: 5 = (4 + 6) / 2
Luego:
En diagonal de P, 5, 8: 5 = (P + 8) / 2 => P = 2
En la fila central: 5 = (Q + 1) / 2 => Q = 9
Así: P y Q son 2 ; 9
Q (5) 1
4 (3) 8
En la columna central: 5 = (7 + 3) / 2
En diagonal de 4, 5, 6: 5 = (4 + 6) / 2
Luego:
En diagonal de P, 5, 8: 5 = (P + 8) / 2 => P = 2
En la fila central: 5 = (Q + 1) / 2 => Q = 9
Así: P y Q son 2 ; 9
Solución 29::
Empieza con el 7:
7 x 3 = 21
21 - 10 = 11
11 x 3 = 33
33 - 10 = 23
23 x 3 = 69
69 - 10 = 59
7 x 3 = 21
21 - 10 = 11
11 x 3 = 33
33 - 10 = 23
23 x 3 = 69
69 - 10 = 59
Solución 30::
s: edad presente de Susy ; g: edad presente de Gabriela
En el presente: s = 2g
Hace 15 años: s - 15 = 3(g - 15) => 2g - 15 = 3g - 45
=> g = 30 => s = 60 => s + g = 90
En el presente: s = 2g
Hace 15 años: s - 15 = 3(g - 15) => 2g - 15 = 3g - 45
=> g = 30 => s = 60 => s + g = 90
II Simulacro Tello: R.M.4
Solución 31::
Solución 32::
Solución 33::
Solución 34::
Solución 35::
k: edad presente de Katy ; d: edad presente de Daniel
En el presente: k = d + 12 (y siempre será así)
Planteando la otra ecuación: (k/3) + 12 = d => k + 36 = 3d
=> d + 48 = 3d => d = 24
En el presente: k = d + 12 (y siempre será así)
Planteando la otra ecuación: (k/3) + 12 = d => k + 36 = 3d
=> d + 48 = 3d => d = 24
Solución 32::
m: número de manzanas ; n: número de naranjas
Luego: m + n = 13 ; 0.45m + 0.30n = 5.1
Ordenando la 2da ecuación: 1.5m + n = 17
y restándola con la primera: 0.5m = 4 => m = 8 => n = 5
Luego: m + n = 13 ; 0.45m + 0.30n = 5.1
Ordenando la 2da ecuación: 1.5m + n = 17
y restándola con la primera: 0.5m = 4 => m = 8 => n = 5
Solución 33::
c: número de carneros ; g: número de gallinas
Luego: 4c + 2g = 36 ; c + g = 15
Resolviendo el sistema de ecuaciones: c = 3 (el Residuo)
Luego: 4c + 2g = 36 ; c + g = 15
Resolviendo el sistema de ecuaciones: c = 3 (el Residuo)
Solución 34::
r: precio de cada rosa
Luego: 4r + 0.3 = 12r - 2.1 de donde: r = 0.3
El precio por 4 rosas será: 4r = 1.2
Luego: 4r + 0.3 = 12r - 2.1 de donde: r = 0.3
El precio por 4 rosas será: 4r = 1.2
Solución 35::
El planteamiento (que encontré en el folleto) parece no tener sentido.
Si existe alguna corrección, por favor, informarme.
Si existe alguna corrección, por favor, informarme.
II Simulacro Tello: Algebra
Solución 36::
Solución 37::
Solución 38::
Solución 39::
Solución 40::
Solución 41::
m+n = 6 ; mn = 8
Propiedad: (m+n)2 - (m-n)2 = 4mn
=> (m-n)2 = (m+n)2 - 4mn
=> (m-n)2 = (6)2 - 4x8
=> (m-n)2 = 4 => m-n = 2
=> m = 4 y n = 2
=> P = m3+n3+m2+n2
[En el folleto aparece al final con ... +n3, lo cual debe ser un error de impresión]
=> P = 92
Propiedad: (m+n)2 - (m-n)2 = 4mn
=> (m-n)2 = (m+n)2 - 4mn
=> (m-n)2 = (6)2 - 4x8
=> (m-n)2 = 4 => m-n = 2
=> m = 4 y n = 2
=> P = m3+n3+m2+n2
[En el folleto aparece al final con ... +n3, lo cual debe ser un error de impresión]
=> P = 92
Solución 37::
ab = 180 ; a + b = 27
Propiedad: (a+b)2 - (a-b)2 = 4ab
=> (a-b)2 = (a+b)2 - 4ab
=> (a-b)2 = (27)2 - 4x180
=> (a-b)2 = 9 => a-b = 3
Propiedad: (a+b)2 - (a-b)2 = 4ab
=> (a-b)2 = (a+b)2 - 4ab
=> (a-b)2 = (27)2 - 4x180
=> (a-b)2 = 9 => a-b = 3
Solución 38::
E = (x+a)(x-a)(x2+a2)(x4+a4) + a8
E = (x2-a2)(x2+a2)(x4+a4) + a8
E = (x4-a4)(x4+a4) + a8
E = (x8-a8) + a8
E = x8
E = (x2-a2)(x2+a2)(x4+a4) + a8
E = (x4-a4)(x4+a4) + a8
E = (x8-a8) + a8
E = x8
Solución 39::
3x2030+x301-x+4 = (x2+1)Q(x) + R(x)
Para x = 1: 7 = 2Q(1) + R(1) => Q(1) = 3 ; R(1) = 1
Para x = -1: 7 = 2Q(-1) + R(-1) => Q(-1) = 3 ; R(-1) = 1
Como R(1) = R(-1) => R(x) es Constante, es decir: R(x) = 1 (el Residuo)
Para x = 1: 7 = 2Q(1) + R(1) => Q(1) = 3 ; R(1) = 1
Para x = -1: 7 = 2Q(-1) + R(-1) => Q(-1) = 3 ; R(-1) = 1
Como R(1) = R(-1) => R(x) es Constante, es decir: R(x) = 1 (el Residuo)
Solución 40::
8x5+4x3+Ax2+Bx+C = (2x3+x2+3)(ax2+bx+c) + (5x2+11x+7)
Coeficiente de x5: 2a = 8 => a = 4
Coeficiente de x4: a + 2b = 0 => b = -2
Coeficiente de x3: 2c + b = 4 => c = 3
Coeficiente de x2: 3a + c + 5 = A => A = 20
Coeficiente de x: 3b + 11 = B => B = 5
Término independiente: 3c + 7 = C => C = 16
Finalmente: A + B - C = 9
Coeficiente de x5: 2a = 8 => a = 4
Coeficiente de x4: a + 2b = 0 => b = -2
Coeficiente de x3: 2c + b = 4 => c = 3
Coeficiente de x2: 3a + c + 5 = A => A = 20
Coeficiente de x: 3b + 11 = B => B = 5
Término independiente: 3c + 7 = C => C = 16
Finalmente: A + B - C = 9
Solución 41::
Ax4+Bx3+21x2-x-12 = (2x2+4x+3)(ax2+bx+c)
Término independiente: 3c = -12 => c = -4
Coeficiente de x: 3b + 4c = -1 => b = 5
Coeficiente de x2: 3a + 4b + 2c = 21 => a = 3
Coeficiente de x3: 4a + 2b = B => B = 22
Coeficiente de x4: 2a = A => A = 6
Finalmente: B - A = 16
Término independiente: 3c = -12 => c = -4
Coeficiente de x: 3b + 4c = -1 => b = 5
Coeficiente de x2: 3a + 4b + 2c = 21 => a = 3
Coeficiente de x3: 4a + 2b = B => B = 22
Coeficiente de x4: 2a = A => A = 6
Finalmente: B - A = 16
II Simulacro Tello: Aritmetica
Solución 42::
Solución 43::
Solución 44::
Solución 45::
Solución 46::
Solución 47::
Sean a y b los números:
a - b = 7k
a + b = 17k
De donde: a = 12k y b = 5k
Luego: a2 + b2 = 676
Así: (12k)2 + (5k)2 = 676 => k2 = 4 => k = 2
Ya que el menor es b: b = 5k => b = 10
a - b = 7k
a + b = 17k
De donde: a = 12k y b = 5k
Luego: a2 + b2 = 676
Así: (12k)2 + (5k)2 = 676 => k2 = 4 => k = 2
Ya que el menor es b: b = 5k => b = 10
Solución 43::
Sea N: número de vueltas;
Así N1 (de la primera), N2 (de la segunda) y N3 (de la tercera)
D: número de dientes, así D1, D2 y D3 respectivamente
Se tiene que: N1D1 = N2D2 = N3D3
Reemplanzando en N1D1 = N3D3 => 8x50=N3x40 => N3 = 10
Así N1 (de la primera), N2 (de la segunda) y N3 (de la tercera)
D: número de dientes, así D1, D2 y D3 respectivamente
Se tiene que: N1D1 = N2D2 = N3D3
Reemplanzando en N1D1 = N3D3 => 8x50=N3x40 => N3 = 10
Solución 44::
A es D.P. a B, de donde: (A / B) = k
(30 / 72) = k => k = (5 / 12)
Cuando A = 45 : (45 / B) = (5 / 12) => B = 108
(30 / 72) = k => k = (5 / 12)
Cuando A = 45 : (45 / B) = (5 / 12) => B = 108
Solución 45::
Entre los dos primeros: 4k + 7k = 198 => k = 18;
Considerando el total: (4 + 7 + a)k = 360 => 11 + a = 20
De donde: a = 9
Considerando el total: (4 + 7 + a)k = 360 => 11 + a = 20
De donde: a = 9
Solución 46::
El total repartido es proporcional a: m + 2m + 12, osea a ' 3m + 12 ';
Luego: m / (3m + 12) = 1/6 => 6m = 3m + 12 => m = 4
Luego: m / (3m + 12) = 1/6 => 6m = 3m + 12 => m = 4
Solución 47::
(A + 10) / 2 = 15 ; Luego: A = 20
(C + 15) / 2 = 10 ; Luego: C = 5
(10A + 35B + 15C) / 3 = 185 ; reemplazando los valores de A y C:
(200 + 35B + 75) / 3 = 185 ; de donde: B = 8
Finalmente: A + B + C = 33
(C + 15) / 2 = 10 ; Luego: C = 5
(10A + 35B + 15C) / 3 = 185 ; reemplazando los valores de A y C:
(200 + 35B + 75) / 3 = 185 ; de donde: B = 8
Finalmente: A + B + C = 33
II Simulacro Tello: Geometria
Solución 48::
Solución 49::
Solución 50::
Solución 51::
Solución 52::
Solución 49::
Denomino: x: Ángulo interno. Luego: x + 2x = 360
De donde: x = 120.
Por tanto estamos hablando de un Hexágono (número de lados, n = 6).
Sea Nd el número de diagonales.
Por fórmula: Nd = n (n-3) / 2
Finalmente: Nd = 9
De donde: x = 120.
Por tanto estamos hablando de un Hexágono (número de lados, n = 6).
Sea Nd el número de diagonales.
Por fórmula: Nd = n (n-3) / 2
Finalmente: Nd = 9
Solución 50::
Solución 51::
Solución 52::
II Simulacro Tello: Fisica
Solución 53::
Solución 54::
Solución 55::
Solución 56::
Solución 57::
Solución 58::
Solución 54::
Sea FR la fuerza resultante.
Luego: FR = F1 - F2 = 80
Sea mT la masa total. => mT = 8
Finalmente: a = (FR / mT) = 10
Luego: FR = F1 - F2 = 80
Sea mT la masa total. => mT = 8
Finalmente: a = (FR / mT) = 10
Solución 55::
Solución 56::
Solución 57::
h: altura del pozo
t1: tiempo de caída
t2: tiempo de viaje del sonido al hacer impacto
V0: velocidad inicial (V0 = 0)
Se sabe: t1 + t2 = 3,15 ... (I)
Usando ecuación de movimiento: h = V0t1 + (g/2)t12 => h = 5t12
Usando ecuación del sonido: h = Vsonidot2 = 300t2
De donde: t12 = 60t2 ; usando (I)
t12 = 60(3,15 - t1)
t12 + 60t1 - 189 = 0
(t1 + 63)(t1 - 3) = 0 => t1 = 3 => t2 = 0,15
Finalmente: h = 300 x 0,15 = 45
t1: tiempo de caída
t2: tiempo de viaje del sonido al hacer impacto
V0: velocidad inicial (V0 = 0)
Se sabe: t1 + t2 = 3,15 ... (I)
Usando ecuación de movimiento: h = V0t1 + (g/2)t12 => h = 5t12
Usando ecuación del sonido: h = Vsonidot2 = 300t2
De donde: t12 = 60t2 ; usando (I)
t12 = 60(3,15 - t1)
t12 + 60t1 - 189 = 0
(t1 + 63)(t1 - 3) = 0 => t1 = 3 => t2 = 0,15
Finalmente: h = 300 x 0,15 = 45
Solución 58::
h: altura del pozo
t1: tiempo de caída
t2: tiempo de viaje del sonido al hacer impacto
V0: velocidad inicial (V0 = 7)
Se sabe: t1 + t2 = 2,1 ... (I)
Usando ecuación de movimiento: h = V0t1 + (g/2)t12 => h = 7t1 + 5t12
Usando ecuación del sonido: h = Vsonidot2 = 340t2
De donde: 7t1 + 5t12 = 340t2 ; usando (I)
7t1 + 5t12 = 340(2,1 - t1)
5t12 + 347t1 - 714 = 0
(5t1 + 357)(t1 - 2) = 0 => t1 = 2 => t2 = 0,1
Finalmente: h = 340 x 0,1 = 34
t1: tiempo de caída
t2: tiempo de viaje del sonido al hacer impacto
V0: velocidad inicial (V0 = 7)
Se sabe: t1 + t2 = 2,1 ... (I)
Usando ecuación de movimiento: h = V0t1 + (g/2)t12 => h = 7t1 + 5t12
Usando ecuación del sonido: h = Vsonidot2 = 340t2
De donde: 7t1 + 5t12 = 340t2 ; usando (I)
7t1 + 5t12 = 340(2,1 - t1)
5t12 + 347t1 - 714 = 0
(5t1 + 357)(t1 - 2) = 0 => t1 = 2 => t2 = 0,1
Finalmente: h = 340 x 0,1 = 34
II Simulacro Tello: Trigonometria
Solución 65::
Solución 66::
Solución 67::
Solución 68::
Solución 69::
Solución 70::
Usando el factor de conversión π/180º, calculamos el ángulo en radianes:
270º x (π/180º) = 27 x (π/18) = 3π/2
270º x (π/180º) = 27 x (π/18) = 3π/2
Solución 66::
Usando el factor de conversión π/180º, calculamos el ángulo en radianes:
225º x (π/180º) = 45 x (π/36) = 5π/4
225º x (π/180º) = 45 x (π/36) = 5π/4
Solución 67::
Sea S el recorrido del caracol.
El radio del árbol será de " 9 " m.
Calculando el ángulo en radianes:
60º x (π/180º) = (π/3)
Luego, S = 9 x (π/3) = 3π
El radio del árbol será de " 9 " m.
Calculando el ángulo en radianes:
60º x (π/180º) = (π/3)
Luego, S = 9 x (π/3) = 3π
Solución 68::
Trabajando el numerador:
sen(π/2 - α) = cosα ; tg(π/2 - α) = ctgα
=> sen(π/2 - α) x tg(π/2 - α) = cosα.ctgα = cos2α.cscα
Trabajando el denominador:
cos(2π - α) = cos(-α) = cosα ; csc(π - α) = cscα
=> cos(2π - α) x csc(π - α) = cosα.cscα
Finalmente: E = (cos2α.cscα / cosα.cscα) = cosα
sen(π/2 - α) = cosα ; tg(π/2 - α) = ctgα
=> sen(π/2 - α) x tg(π/2 - α) = cosα.ctgα = cos2α.cscα
Trabajando el denominador:
cos(2π - α) = cos(-α) = cosα ; csc(π - α) = cscα
=> cos(2π - α) x csc(π - α) = cosα.cscα
Finalmente: E = (cos2α.cscα / cosα.cscα) = cosα
Solución 69::
Solución 70::
Sea S la longitud del arco pedida.
Valor del ángulo en radianes:
45º x (π/180º) = (π/4)
Luego, S = 40 x (π/4) = 10π
Valor del ángulo en radianes:
45º x (π/180º) = (π/4)
Luego, S = 40 x (π/4) = 10π
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