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3 years ago

Please solve this question.

Mathematics

2 answers:

egoroff_w [7]3 years ago

5 0

<h3>Answer :</h3>

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ Part - A :

$:\implies\tt\:\dfrac{x\times 4}{y-2}=2$

$:\implies\tt\:4x=2(y-2)$

$:\implies\tt\:4x=2y-4$

$:\implies\tt\:2y=4x+4$

$:\implies\bf\:y=2x+2\:\:\dots (1)$

★ Part - B :

$:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}$

$:\implies\tt\:7(x+15)=9(2y-2)$

$:\implies\tt\:7x+105=18y-18$

From equation (1)...

$:\implies\tt\:7x+105=18(2x+2)-18$

$:\implies\tt\:7x+105=36x+38-18$

$:\implies\tt\:29x=105-18$

$:\implies\tt\:x=\dfrac{87}{29}$

$:\implies\boxed{\bf{x=3}}$

$:\implies\tt\:y=2x+2$

$:\implies\tt\:y=2(3)+2$

$:\implies\boxed{\bf{y=8}}$

∴ Fraction = x/y = 3/8

<h3>Hope It Helps!</h3>

nika2105 [10]3 years ago

3 0

Answer: 3/8

Step-by-step explanation:

Let x represent the numerator and y represent the denominator.

Equation 1: (4x)/(y - 2) = 2

4x = 2(y - 2) Cross Multiplied

4x = 2y - 4 Distributed

4x - 2y = -4 Subtracted 2y from both sides

Equation 2: (x + 15)/(2y - 2) = 9/7

9(2y - 2) = 7(x+15) Cross Multiplied

18y - 18 = 7x + 105 Distributed

-7x + 18y - 18 = 105 Subtracted 7x from both sides

-7x + 18y = 123 Added 18 to both sides

Solve the system of equations using Elimination Method:

EQ1: 4x - 2y = -4 → 9(4x - 2y = -4) → 36x - 18y = -36

EQ2: -7x + 18y = 123 → 1(-7x + 18y = 123) → -7x + 18y = 123

29x = 87

÷29 ÷29

x = 3

Substitute x = 3 into either equation to solve for y:

EQ1: 4x - 2y = -4

4(3) - 2y = -4

12 - 2y = -4

-2y = -16

y = 8

The numerator (x) = 3

The denominator (y) = 8

The fraction is: 3/8

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2 years ago

in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation

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Answer:

$f(x) = 63000(0.97)^x$

Step-by-step explanation:

Given

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$f(5) = 54100$ -- x = 5, in 2017

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An exponential function is represented as:

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Where

$b = rate$

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This implies that (a) and (b) cannot be true

For option (c), we have:

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$f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100$

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Set x = 0

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$f(x) = 52477(0.97)^{5x$

Set x = 0

$f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477$

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Ugo [173]

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