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3 years ago

A class has 6 boys and 15 girls. What is the ratio of boys to girls

Mathematics

2 answers:

Gnoma [55]3 years ago

4 0

$the \ ratio \ is : \\ \\ boys \ to \ girls = 6:15= 2:5$

Brut [27]3 years ago

3 0

we know that

Ratio is the quantitative relation between two numbers

Let

x-------> number of boys in the class

y-------> number of girls in the class

$ratio=\frac{x}{y}$

in this problem we have

$x=6\ boys\\y=15\ girls$

Find the ratio

substitute the values in the formula

$ratio=\frac{6}{15}$

Divide by $3$ both numerator and denominator

$ratio=\frac{2}{5}$

therefore

the answer is

the ratio of boys to girls is $\frac{2}{5}$

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2 years ago

Combine the like terms to create an equivalent expression: -3r- 6+ (-1)

Norma-Jean [14]

Answer:

-3r+5 is that answer hdj

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3 years ago

Read 2 more answers

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.