Add the two numbers. Express your answer in scientific notation.
2 answers:
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Answer:
3000
Step-by-step explanation:
Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:
So the volume of the wall is:
Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:
Hence:
In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:
Solving for n:
Therefore, we need 3000 bricks to build that wall.
Translation:
Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:
Entonces el volumen del muro es:
Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:
Por lo tanto:
Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:
Resolviendo para n:
Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.
Answer:
1
Step-by-step explanation:
Factorise numerators/ denominators where possible
3x² - 4x + 1 = (x - 1)(3x - 1)
x² - 1 ← is a difference of squares and factors as
x² - 1 = (x - 1)(x + 1)
Expressing the product in factored form
×
Cancel common factors on numerator/denominator, that is
Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1