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2 years ago

John walks m miles each week. Marie’s distance can be found by using the expression : 3m + ½

Mathematics

1 answer:

KiRa [710]2 years ago

7 0

Answer:

21.5 Miles or 21 ½ Miles

Step-by-step explanation:

Plug in 7 as m to 3m + ½.

Then, I get 3(7) + ½.

That concludes to 21 + ½

Add the ".5" or "½" at the end

So, answer is you get is 21.5 of 21 ½

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3 years ago

Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and

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Answer:

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

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3 years ago

Show that 155 can be express as the sum of a power of 2 and a cube number?

son4ous [18]

$\bf \underset{155-128}{155-2^7}= 27\qquad \qquad therefore\qquad 2^7+27=155\implies 2^7+3^3=155$

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3 years ago