2 years ago

Lowest common multiple of 120 and 144

Mathematics

1 answer:

Vlad [161]2 years ago

6 0

Answer:

720;₫()#(#;₫!*)(#:#!#)#)

Step-by-step explanation:

720

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A golfer bought 24 golf balls for $10.08. Which is the price per golf ball?

Vlada [557]

Answer: 42 cents

Step-by-step explanation: Take 10.08 divide it by 24 and there's your answer!

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2 years ago

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jeyben [28]

Answer:

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Step-by-step explanation:

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2 years ago

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left wi

tino4ka555 [31]

Answer:

$\frac{7}{40}$

Step-by-step explanation:

$1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})$

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3 years ago

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(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

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3 years ago

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Answer: 113.1 cm^2

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3 years ago