That's false.
Let's see an instance:
10% of 300=30
20% of 100=20
It doesn't work here so it's false
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
113.1
Step-by-step explanation:
A = πr²
A = π (6)²
A = π (36)
A = 113.09 = 113.1
B is rational. B is the correct answer. B is rational.
Answer:
9cm
Explicación:
El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

Donde c es la hipotenusa y a y b son los catetos.
Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

Por lo tanto, la longitud del otro cateto es 9 cm