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Romashka-Z-Leto [24]

3 years ago

12

Three-fifths of the students are girls. One-third of the girls have blond hair. One-half of the boys have brown hair. A:what fra

ction of all the students are girls with blond hair?

1 answer:

jeka943 years ago

5 0

The answer is 1/5 of the students are blond girls, since 1/3 of 3/5 is 1/5.
Divide 3/5 by 3, which is 1/5.
Hope this helps!

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Identify the domain of the given function f(x)=1/x+1 +5

Oduvanchick [21]

The domain of a function is the set of values of x for which a value of y exists. In this case, the only way that a value of y would not exist is for a denominator to equal to zero. If this function is f(x) = 1/(x+1) + 5, then we must find the values of x for which the denominator (x+1) = 0, which is at x = -1.
Therefore the domain is all real numbers except x = -1. In interval notation this can be written as (-infinity, -1), (-1, infinity).

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3 years ago

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Divide 1.20m in the ratio 2:3:4 what's the answer

Vikki [24]

2 :3 :4 gives 9 shares (2 + 3 + 4)

9 shares = 120cm
1 share = 120/9 cm = 13 1/3 cm ( or 13.333)

2 shares = 26 2/3 cm
3 shares = 40 cm
4 shares = 53 1/3 cm

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3 years ago

A cube is cut into two pieces by a single slice that passes through the points A, B, and C.

masha68 [24]

I believe it’s a trapezoid but i’m not too sure... sorry :((

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2 years ago

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

3 years ago

Find the exact volume of the cylinder.

netineya [11]

Step-by-step explanation:

The volume of a cylinder can be found with the equation

<em><u> $\pi{r}^{2}h$ </u></em>

So, plug in the values. The diameter of the circle is 10m, which means that the radius is 5m. The height of the cylinder is 13m.

V = π (5)^2 (13)

<u>V = 325π m^3</u>

Answer:

D. 325π m^3

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3 years ago

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