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Stells [14]
4 years ago
11

The ratio of girls to boys in a swimming club was 2: 4. There were 14 girls. How many total members were there in the club?

Mathematics
2 answers:
8_murik_8 [283]4 years ago
7 0
Let x be the number of boys
2/4 = 14/x
2x = 56
x=28

28 boys+ 14 girls= 42 club members
joja [24]4 years ago
7 0
There are twice as many boys as girls. If the number of girls is 14, then there are 28 boys.

To find the total, just add: 14 + 28 = 42

That means 42 people in total.
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Rewrite the function by completing the square. 4x^2-4x+1=0
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Do in <u>completing the square method.</u>

{4x}^{2}  - 4x + 1 = 0 \\ 4x^{2}-4x=-1  \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4}  \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4}  \\ x^{2}-x=\frac{-1}{4}  \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2}  \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4}  \\ x^{2}-x+\frac{1}{4}=0  \\ \left(x-\frac{1}{2}\right)^{2}=0  \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}

Now simplify.

x-\frac{1}{2}=0 \\  x-\frac{1}{2}=0  \\  \\  \rightarrow \: x=\frac{1}{2}  \\  \rightarrow \: x=\frac{1}{2}

So, answer is..

\boxed{x=\frac{1}{2} }

Now <u>rewrite</u> the equation.

4 x ^ { 2 } - 4 x + 1 = 0 \\  \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0  }

<u>Verification :-</u>

4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0  \\ 1-4\times \left(\frac{1}{2}\right)+1=0  \\ 1-\frac{4}{2}+1=0  \\ 1-2+1=0  \\ -1+1=0  \\ \underline{ 0 = 0} \:  \\  \dashrightarrow \text{true}

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Image result for what is always true about a line that slants downward from left to right

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope. A horizontal line has a change in x, but it does not have a change in y. The slope of a horizontal line is 0.

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