el dinero de los demás. Si cada uno pierde una apuesta en el orden de presentación y al final terminan con
S/.48, S/.56 y S/.28 respectivamente, ¿Quién de los
amigos ganó más dinero y cuánto?
Answer:
La persona que ganó más dinero fue Braulio por S/.16
Step-by-step explanation:
Deje que la cantidad inicial sea Andrés X, Braulio Y y Ciro Z
Luego, dado que cada uno pierde una apuesta en el orden presentado, tenemos;
Después de la primera apuesta, tenemos;
Andrés X-Y-Z, Braulio (Y + Y), Ciro (Z + Z)
En la segunda apuesta, tenemos;
2 (X-Y-Z), 2Y - (X-Y-Z) - 2Z, 2Z + 2Z
2 (X-Y-Z), 3Y - X -Z, 4Z
En el tercero
4 (X-Y-Z), 6Y - 2X - 2Z, 4Z-2 (X-Y-Z) - (3Y - X -Z)
4 (X-Y-Z), 6Y - 2X - 2Z, 7Z - X - Y
4 (X-Y-Z) = 0.48 .............................. (1)
6Y - 2X - 2Z = 0.56 ...................... (2)
7Z - X - Y = 0.28 ............................ (3)
Multiplicamos las ecuaciones (2) por 2 y restamos la ecuación (1), tenemos;
12Y - 4X - 4Z - 4X + 4Y + 4Z = 0.56 * 2 - 0.48 = 0.64
16Y - 8X = 0.64 ...................... (4)
Multiplicamos las ecuaciones (2) por 7/2 y sumamos a la ecuación (3), tenemos;
21Y - 7X - 7Z + 7Z - X - Y = 7/2 * 0.56 + 0.28
20Y - 8X = 2.24 ...................... (5)
Restando la ecuación (4) de la ecuación (5) tenemos;
20Y - 8X - 16Y - 8X = 2.24 - 0.64 =
4Y = 1.6
Y = 1.6 / 4 = 0.4
De la ecuación (5), tenemos;
20Y - 8X = 20 * 0.4 - 8X = 2.24
8X = 8 - 2.24 = 5.76
X = 5,76 / 8 = 0,72
De la ecuación (3), tenemos;
7Z - X - Y = 7Z - 0.72 - 0.4 = 0.28
7Z = 1.4
Z = 1.4 / 7 = 0.2
Por lo tanto tienen inicialmente
X₁ = 0.72
Y₁ = 0.4
Z₁ = 0.2
Después de jugar tienen;
X₂ = 0.48
Y₂ = 0.56
Z₂ = 0.28
Los cambios son
Andrés 0.48 - 0.72 = -0.24
Braulio; 0.56 - 0.4 = 0.16
Ciro 0.28 - 0.2 = 0.08
La persona que ganó más dinero fue Braulio por S/.16
No, because the light bulb distributor trusts the LED bulb manufacturer.
Yes, because the LED bulb manufacturer may benefit from the survey results.
Yes, because the light bulb distributor wants to become a "green" company.
Answer:
C. Yes, because the LED bulb manufacturer may benefit from the survey results.
Step-by-step explanation:
We are given that,
'An LED bulb manufacturer gives the study with the result that LED light bulbs are better for the environment than the traditional bulbs'.
Now, if the light bulb distributor further shows the result to the consumers, they would like to buy LED bulbs.
So, the demand for the LED bulbs would increase. For that, the distributor would have to order more LED bulbs from the manufacturer.
Thus, the supply of LED bulbs would increase for the manufacturer resulting in increase in revenue.
Hence, the LED manufacturer may benefit from the survey result.
Answer:
90 degrees
Step-by-step explanation:
3
4
5
52°
4
47°
m/1 =
m/2 =
m/3=
m/4=
m/5=
Answer:
calibrate the thermostat of the equation and 52 go into the m/2 and 47 and 4 go into m/5 and all the rest go into m/3
Answer:
| T-50 |= 323
Step-by-step explanation:
For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin
LEt T be the temperature
Temperature must be within 50 Kelvin of 323 Kelvin
So the difference is 50 , that is the temperature T is between 323-50 and 323+50
we use absolute function
|T-50|= 323
So the equation used to determine the minimum and maximum temperatures is | T-50 |= 323
The amount of work required to stretch 9 inches beyond the natural length will be 4.5 ft-lb
Given data:
To determine the work required to stretch the spring 9 inches beyond its natural length, use the concept of Hooke's Law.
Hooke's Law states that the force required to stretch or compress a spring is directly proportional to the displacement from its equilibrium position.
Given that stretching the spring by 2 ft requires 12 ft-lb of work, determine the constant of proportionality.
The constant of proportionality (k) represents the stiffness of the spring and can be calculated using the formula:
k = work / displacement
k = 12 ft-lb / 2 ft
k = 6 lb/ft
Now, calculate the work required to stretch the spring 9 inches (0.75 ft) beyond its natural length using the same constant of proportionality:
work = k * displacement
work = 6 lb/ft * 0.75 ft
work = 4.5 ft-lb
Hence, it would require 4.5 ft-lb of work to stretch the spring 9 inches beyond its natural length.
To learn more about Hooke's law, refer:
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