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3 years ago

Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?

2 answers:

6 0

12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people

Allushta [10]3 years ago

6 0

3 people - Two bowls of pasta
12 people - ?

12 divided by 3 = 4.

4 x 2 = 8.

8 bowls of pasta should be ordered for 12 people.

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Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach. Select true or

diamong [38]

Answer:

Step-by-step explanation:

Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach.

We carry out conversion

Select true or false for each statement. Fred bought 76 milliliters more fabric softener than bleach. False Fred bought 1.75 liters more laundry detergent than bleach. False Fred bought 760 milliliters more fabric softener than bleach. False Fred bought 150 milliliters more laundry detergent than bleach. ? Fred bought 0.76 liters more fabric softener than bleach.

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3 years ago

How do I differentiate this?

disa [49]

Answer:

$\frac{8}{\left(-x+2\right)^2}$ & $x = 1, x = 3$

Step-by-step explanation:

I'm sure you are familiar with the product rule,

If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule

In this case:

$u=3x+2,\:v=\left(2-x\right)^{-1},\\=>\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

Now remember the sum rule:

$\frac{d}{dx}\left(3x+2\right) = \frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(2\right),\\\frac{d}{dx}\left(3x\right) = 3,\\\frac{d}{dx}\left(2\right) = 0\\\frac{d}{dx}\left(3x+2\right) = 3$

For this second bit we apply the chain rule:

$\frac{d}{dx}\left(\left(2-x\right)^{-1}\right) = -\frac{1}{\left(2-x\right)^2}\frac{d}{dx}\left(2-x\right),\\\frac{d}{dx}\left(2-x\right) = -1,\\\\=> -\frac{1}{\left(2-x\right)^2}\left(-1\right)\\=> \frac{1}{\left(2-x\right)^2}$

If we substitute these values back into the expression... $\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

...we get the following:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)$

The rest is just pure simplification:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)\\= \frac{3}{-x+2}+\frac{3x+2}{\left(-x+2\right)^2}\\= \frac{3\left(-x+2\right)}{\left(-x+2\right)^2}+\frac{3x+2}{\left(-x+2\right)^2}\\\\= \frac{3\left(-x+2\right)+3x+2}{\left(-x+2\right)^2}\\\\= \frac{8}{\left(-x+2\right)^2}$

Now let's equate this to equal 8 for the second bit and solve for x:

$\frac{8}{\left(-x+2\right)^2}=8,\\\frac{8}{\left(-x+2\right)^2}\left(-x+2\right)^2=8\left(-x+2\right)^2,\\8=8\left(-x+2\right)^2,\\\left(-x+2\right)^2=1,\\x = 1, x = 3$

4 0

2 years ago

A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles

worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

$P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}$