Se escribe una equacion y se resolve.
Vamos a usar x para representar el peso de la piedra.
En en platillo que tiene la piedra, el peso total es: x + 1/9 + 2/3
En el otro platillo: 1/2 + 1/3
La balanza esta equilibrada por eso los pesos en los platillos son iguales.
x + 1/9 + 2/3 = 1/2 + 1/3
x + 2/18 + 12/18 = 9/18 + 6/18
x + 14/18 = 15/18
x = 1/18
Respuesta: La piedra pesa un octavo de kilogramo.
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer: The second option
Step-by-step explanation: 14mph times 5 equal 70. 5 hours after 6 am is 11 am. 70 divided by 20 is 3.5. 3.5 hours after 6 am is 9:30. Hence 9:30 to 11