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3 years ago

If x+3y upon 5x+4y= 1/3 find the ratio of x:y ANSWER FASTTT

Mathematics

2 answers:

aniked [119]3 years ago

8 0

Answer:

x : y = 5 : 2

Step-by-step explanation:

Given

$\frac{x+3y}{5x+4y}$ = $\frac{1}{3}$ ( cross- multiply )

5x + 4y = 3(x + 3y)

5x + 4y = 3x + 9y ( subtract 3x from both sides )

2x + 4y = 9y ( subtract 4y from both sides )

2x = 5y ( divide both sides by 2 )

x = $\frac{5}{2}$ y ( divide both sides by y )

$\frac{x}{y}$ = $\frac{5}{2}$ , that is

x : y = 5 : 2

Aleonysh [2.5K]3 years ago

3 0

Answer:

x/y = 5/2

Step-by-step explanation:

hello :

(x+3y) /( 5x+4y)= 1/3 means : 5x+4y = 3(x+3y)

5x+4y = 3x+9y

5x-3x = 9y - 4y

2x = 5y

now divid by y : 2x/y = 5y/y

2x/y = 5 so : x/y = 5/2

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3 years ago

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Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

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The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

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length of the curve is = 4(1+1) = 8

<u>conclusion</u>:-

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3 years ago

The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consum

LenKa [72]

Answer:

Step-by-step explanation:

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3 years ago

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jarptica [38.1K]

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Step-by-step explanation:

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CaHeK987 [17]

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Step-by-step explanation:

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