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11Alexandr11 [23.1K]
3 years ago
14

What is the decimal expansion of 7/22?

Mathematics
1 answer:
grigory [225]3 years ago
8 0
It should be 0.3181818181818 so it would be a repeating decimal

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Solve ax + bx = c for x <br> a,b,c represent nonzero constants
Zepler [3.9K]

Answer:

x=(c/a+b)

Step-by-step explanation:

..........

4 0
3 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
Suppose two bicyclists start at the same location.
DerKrebs [107]

Answer:

Step-by-step explanation:

See attachment.

If both cyclists travel for the same time and speed, they will have travelled the same distance.  Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle.  Each leg has distance x.  We can say x^2 + x^2 = (3\sqrt{2})^2

2x^2 =1 8

x^2 = 9

x = 3

They both rode 3 miles.

5 0
3 years ago
A rectangular plot of land is represented on a coordinate plane where each unit is one foot. The vertices are at (50,20), (50,90
Zina [86]
The answer is b I believe
4 0
3 years ago
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HELP IM ON A TIME LIMIT AND IDK THE ANSWER
aleksandrvk [35]

Answer:

Check step-by-step explanation

Step-by-step explanation:

A = \frac{1}{2} d_{1}  d_{2}

to solve for d_{1}:

d_{1} = \frac{2A}{d_{2}}

to solve for d_{2}:

d_{2} = \frac{2A}{d_{1}}

4 0
3 years ago
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