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2 years ago

Which shows how to solve the equation -4/5 x = 80 for x in one step

Mathematics

1 answer:

san4es73 [151]2 years ago

8 0

Answer:

$- \frac{1}{100}$

Step-by-step explanation:

$- \frac{4}{5x} = 80 \\ - \frac{4}{80 } = 5x \\ x = - \frac{1}{100}$

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A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) o

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X can be 3 because:
(3+1)(3)=(4)(3)=12
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3 years ago

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What is the solution of the system? y=2 x= -1

kodGreya [7K]

Answer:

( -1,2)

Step-by-step explanation:

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Last month, a company had receipts totaling $3,700. The company had overhead costs of $444. What is the rate of overhead?

Arlecino [84]

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3 years ago

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2 A chef planning for a large banquet

fiasKO [112]

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

$\dfrac{800}{5} = 160$

$160 \times 2 = 320$

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Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

8 0

3 years ago

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

3 years ago