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2 years ago

Lauren jogs the rate at a 2 mile every 1/2 hour. what is her until rate?

Mathematics

1 answer:

Fantom [35]2 years ago

5 0

I 4 mph

Step-by-step explanation: I assume you’re writing Asking about the mph it would be be 4

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10x - y = 2<br> 5x + 3y = 5 --

tatyana61 [14]

x= 1/5 +y/10

x=1+ 3y/5

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3 years ago

Hello :D (First person to answer gets brainly)

Gwar [14]

Step-by-step explanation:

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2 years ago

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steve has 500 more marbles than richard at first. he gives 300 marbles to richard. who has more marbles now, and by how many?

Yakvenalex [24]

Steve has x+500 marbles
richard has x marbles

if steve gives richard 300 marbles then
x+500-300 x+300
so x+200 and x+300
richard has more and by 100

8 0

3 years ago

Read 2 more answers

Three pounds of bananas cost $1.77.

bearhunter [10]

Answer:

1.77/3=0.59

Step-by-step explanation:

If 3 lbs of bananas cost $1.77 we find the amount of each lbs of bananas by dividing 1.77 by 3.

from there we get 0.59,

therefore each lbs of bananas costs $0.59

and 10 lbs of bananas cost $5.90

4 0

2 years ago

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago