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kati45 [8]
3 years ago
15

A scientist placed 22.854 g of sodium chloride in a beaker. He then added five times as much calcium chloride as sodium chloride

. Finally, he divided the mixture evenly into four dishes. How much of the mixture did each dish contain? 28.5675 g 34.2810 g 137.1240 g 548.4960 g
Mathematics
2 answers:
Bogdan [553]3 years ago
4 0
Starts with 22.854...he then adds 5 times as much...
22.854 + 5(22.954) = 137.124
he divided mixture into 4 dishes
137.124/4 = 34.2810 grams <==
Vika [28.1K]3 years ago
4 0

Answer: 34.2810 g

Step-by-step explanation:

Mass of sodium chloride in a beaker = 22.854 g

Mass of calcium chloride in a beaker = 5\times {\text {Mass of sodium chloride}}=5\times 22.854 g = 114.27 g

Now total mass in the beaker = Mass of sodium chloride in a beaker + Mass of calcium chloride in a beaker =  22.854 g + 114.27 g = 137.124 g

Now the mixture is evenly divided into four dishes.

Amount of the mixture each dish contain = \frac{\text {total mass in the beaker}}{4}=\frac{137.124g}{4}=34.2810g

Thus amount of the mixture in dish is 34.2810 g.

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Answer:

  • <u>1/4</u>

Explanation:

Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.

Estas son las posibilidades dadas por la combinación moneda/dado

                                      Número de combinaciones

Moneda: prenda

    Cara: vestido                 1 de 2:          1/2

     Sello: falda                    1 de 2:          1/2

Dado: color

    Par: negro                      3 de 6:          3/6

    Impar: café                     3 de 6:         3/6

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¿Cuántas combinaciones tienen vestido y color negro?

  • P(Vestido∩negro) = ?

Es decir: moneda = cara y dado = par

  • Son 1 × 3 = 3.

Por tanto, la probabilidad de vestido negro es:

  • 3 de 12 = 3/12 = 1/4 ← respuesta

Hay otras formas de resolverlo. Por ejemplo;

Como los resultados de lanzar la moneda y el dado son independientes:

  • P(Vestido∩negro) = P(Vestido) × P(Negro)
  • P(Vestido) = 1/2
  • P(Negro) = 3/6 = 1/2
  • P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
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