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2 years ago

Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

Mathematics

1 answer:

erastova [34]2 years ago

3 0

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

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At a retail store, Alexander's new glasses normally sell for $167,

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3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

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Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

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Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

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1 year ago

In Germany, VAT is at 19%

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Answer:

Amount of VAT paid by Jeremy is € 9.31 .

Step-by-step explanation:

As given

In Germany, VAT is at 19% .

Jeremy buys a calculator in Germany for €58.31

This price includes VAT.

Let us assume that the cost of calculator excluding tax is x .

19% is written in the decimal form .

$= \frac{19}{100}$

= 0.19

VAT Price = 0.19 × Cost price of calculator excluding VAT

= 0.19 × x

= 0.19x

Than

Cost of calaculator + VAT price = Cost of calculator including VAT

x + 0.19 × x = 58.31

x + 0.19x = 58.31

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