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avanturin [10]
3 years ago
11

Which equation represents the statement? Cindys age, x, is 3 times her age 6 years ago.

Mathematics
2 answers:
andriy [413]3 years ago
6 0

The correct answer is B.) just took the test and got it correct:)

umka21 [38]3 years ago
3 0
Cindys age = x
Her age before six years = x-6

So, It would be: x = 3(x-6)

In short, Your Answer would be Option B

Hope this helps!
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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
3 years ago
What are the reasons?
AVprozaik [17]

Answer

because yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Finding an angle measure given extended triangles
rodikova [14]

Answer:

x = 180 - 32 - 43 - 72 = 33°

4 0
3 years ago
Find the difference.<br> (4m^2 - m+2) - (-3m^2+ 10m + 4) =(
poizon [28]
<h2><u>Answer:</u></h2>

7m^2 - 11m - 2

<h2><u>Step-by-step explanation:</u></h2>

Distribute the negative.

4m^2 - m + 2 + 3m^2 - 10m - 4 = ?

Now, add the like terms.

4m^2 + 3m^2 = 7m^2

-m + (-10m) = -11m

2 + (-4) = -2

7m^2 - 11m - 2

5 0
4 years ago
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plast
Nataly [62]

Answer:

In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.

Step-by-step explanation:

Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:

305 + 121 + 74 = 500

500 = 100

305 = X

305 x 100/500 = X

30,500 / 500 = X

61 = X

500 = 100

121 = X

121 x 100/500 = X

12,100 / 500 = X

24.2 = X

100 - 61 - 24.2 = X

39 - 24.2 = X

14.8 = X

Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.

4 0
3 years ago
Read 2 more answers
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