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Nata [24]
3 years ago
12

You decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
You need 375g for 30 cakes.


150g/12 = 12.5g

12.5g x 30 = 375g
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Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap
pantera1 [17]

Answer:

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Step-by-step explanation:

Given that :

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i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

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Answer:

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Step-by-step explanation:

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Answer: 5/11

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Step-by-step explanation:

Question: -(x+3)=-8+10x

Result -x-3=10x-8


Hope this help :)

Please give brainless


-(×+3)=-8+10× is a math equation with the solution of 5/11

3 0
2 years ago
Which is the graph of f(x)=-(x+3)(x+1)
Mamont248 [21]
Choice B is the correct answer. You can do this yourself by graphing on Desmos.


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Step-by-step explanation:

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