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PIT_PIT [208]
4 years ago
10

Solve this equation c \/3=6 1/7

Mathematics
1 answer:
kicyunya [14]4 years ago
3 0
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7

Convert mixed fraction into a simple fraction

6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7 

c/7 = 43/7

proportionality: 

a/b = c/d where  cross products are equal :  ad = bc

a = c 
b = 7 
c = 43
d = 7          

<span>ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43</span>
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Find the length of AB
steposvetlana [31]

Answer:

17 units

Step-by-step explanation:

You can find the lenght of drawing a triangle and counting the x units and y units, thereby the AB would be the hypotenuse.

X units ( base ) = 15 units

Y units ( height ) = 8 units

AB = root of 8^2 + 15^2

AB = root of 289

AB = 17 units

Hope it helps :)

Mark it as brainliest answer pls :)

5 0
3 years ago
A toy factory can produce 135 toys in 5 hours. At this rate, how many hours will it take to produce 243 toys?
chubhunter [2.5K]

Answer:

9 hours

Step-by-step explanation:

you can find the unit rate by dividing 135 by 5 to get 27 toys per hour

243 ÷ 27 = 9

8 0
3 years ago
Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π
Licemer1 [7]

We're looking for a solution of the form F(x,y)=C. By the chain rule, this solution should have total differential

\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0

and the equation is exact if the mixed second-order partial derivatives of Fare equal, i.e. \frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}.

The given ODE is exact, since

\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2

\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2

Then

\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)

\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}

\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C

\implies x^2y^3+\sin x+\cos y=C

With y(0)=\pi, we get

\cos\pi=C\implies C=-1

\implies\boxed{x^2y^3+\sin x+\cos y=-1}

6 0
3 years ago
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avanturin [10]

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

8 0
3 years ago
Read 2 more answers
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Alenkinab [10]

Answer:

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Step-by-step explanation:

the inequality symbol for at least is the greater than or equal to symbol because at least means that the number is as low as it goes.

so a is at least (≥) 5

3 0
3 years ago
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