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3 years ago

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Mathematics

1 answer:

katovenus [111]3 years ago

4 0

Answer:

ne Sidhdhdbd dB d dhdjednnd xb

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Please solve this question.

egoroff_w [7]

<h3><u>Answer</u> :</h3>

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ <u>Part - A</u> :

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

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

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

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

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

★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :

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

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

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

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>

5 0

3 years ago

Read 2 more answers

Expressions equivalent to -4(x-9)

lisov135 [29]

-4x +36 I am pretty sure

3 0

3 years ago

Lab tests of a new drug indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created th

Katyanochek1 [597]

Answer: 30%?

Step-by-step explanation:

7 0

3 years ago

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

$n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333$

Round up to the next number, giving you 405.

6 0

3 years ago

Belinda bought a car one year ago.

lesya692 [45]

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

8 0

3 years ago