Answer:
Don caught 3.6 kg and Dan caught 0.6 kg.
Step-by-step explanation:
Set up a system of equations:
Don's fish is the variable a and Dan's fish is the variable b.
a + b = 4.2 (1)
a=6b (2)
We can substitute a in the first equation using the second equation, so:
6b + b = 4.2
7b = 4.2
b = 0.6 kg
Dan caught 0.6 kg. Then, we can use equation 2 to find how much Don caught.
a = 6 x 0.6
a = 3.6
Don caught 3.6 kg.
Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
Answer:
Energía cinética = 0,5 x (masa x velocidad^2).
Step-by-step explanation:
"Cinética" significa "movimiento", y por lo tanto, la energía cinética es la energía que hay en algún objeto o cuerpo porque se está moviendo. Así, esta energía puede definirse como el trabajo mecánico necesario para acelerar un objeto de masa particular desde el carril hasta el terreno en movimiento. Al recibir esta energía rápidamente, el cuerpo retiene esta energía cinética dentro de él, a menos que cambie su velocidad.
Answer:
The discrimant of this equation is 144.
Step-by-step explanation:
First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :
9x² + 14x + 13 = 8x²
9x² + 14x + 13 - 8x² = 8x² - 8x²
x² + 14x + 13 = 0
It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :
x² + 14x + 13 = 0
D = b² - 4ac
= 14² - 4(1)(13)
= 196 - 52
= 144
