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3 years ago

2 parts compost, 6 parts potting soil for 10 kg of mix. How many kg of compost

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

Step-by-step explanation:

A proportion could be used.

With 2 parts of compost and 6 parts potting soil, you would end up with 8 total parts.

So it can be written as a ratio of compost to total mix, or $\frac{2}{8}$

The problem states 10 kg are needed in total, and the variable would be the amount of compost

As a ratio it would be $\frac{x}{10}$ .

Use the ratios to write a proportion.

$\frac{2}{8} = \frac{x}{10}$

Multiply both sides of the equation by 10

$\frac{20}{8} = x$

Convert to a decimal if desired.

$x=2.5$

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A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

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Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

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3 years ago

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Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

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$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

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###

To compute the last integral, you can integrate by parts:

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$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

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3 years ago