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3 years ago

Ralf and Susie share $57 in the ratio 2:1. (a) Calculate the amount Ralf receives.

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

4 0

Answer:

<h3>.Total ratio 2+1 = 3</h3>

<h3>2/3 × 57</h3><h3>Divide 57 by 3</h3><h3>( 2 × 19)</h3><h2><u>=</u><u> </u><u>3</u><u>8</u><u>.</u><u>.</u><u>.</u><u>.</u></h2><h3><u>Ralf</u><u> </u><u>recieves</u><u> </u><u>$</u><u> </u><u>3</u><u>8</u></h3>

Semmy [17]3 years ago

4 0

Answer:

Raff = 38

Suzie = 19

Step-by-step explanation:

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

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Nikita has 1/3 of a kilogram of trail mix. She wants to share it equally among herself and 2 of her cousins. How much trail mix

marishachu [46]

Answer: 1/3divided by 3=x

Step-by-step explanation:

there is 1/3k of trail mix to divide among 3 people

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8 0

3 years ago

Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464

Vika [28.1K]

Answer:

$L=3.999 \: dm$

$A=183.4581\:dm^{2}$

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

$a_{p}=L\frac{2+\sqrt{3}}{2}$

Sabiendo que la apotema es 7.464 el lado sera:

$L=\frac{2*a_{p}}{2+\sqrt{3}}$

$L=\frac{2*7.464}{2+\sqrt{3}}$

$L=3.999 \: dm$

Por otro lado el area de un dodecágono regular esta dada por:

$A=6a_{p}L$

$A=6*7.646*3.999$

$A=183.4581\:dm^{2}$

Espero te haya sido de ayuda!

7 0

3 years ago

HELP ME POR FAVORRRRR

11Alexandr11 [23.1K]

Answer:

Ba/De = Bc/Df

Step-by-step explanation:

Find there color in order to see what angle is equal to that

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4 0

3 years ago

How many even prime numbers are 0 1 2 3

matrenka [14]

A prime number can <span>be divided evenly only by 1, or itself. </span>
<span>And it must be a whole number greater than 1.

Therefore, the prime numbers between 0, 1, 2, 3 are

2 and 3

and the only even one among those two is two, so your answer would be One. </span>

7 0

3 years ago

Find the directional derivative of at the point (1, 3) in the direction toward the point (3, 1). g

Anika [276]

Complete Question:

Find the directional derivative of g(x,y) = $x^2y^5$ at the point (1, 3) in the direction toward the point (3, 1)

Answer:

Directional derivative at point (1,3), $D_ug(1,3) = \frac{162}{\sqrt{8} }$

Step-by-step explanation:

Get $g'_x$ and $g'_y$ at the point (1, 3)

g(x,y) = $x^2y^5$

$g'_x = 2xy^5\\g'_x|(1,3)= 2*1*3^5\\g'_x|(1,3) = 486$

$g'_y = 5x^2y^4\\g'_y|(1,3)= 5*1^2* 3^4\\g'_y|(1,3)= 405$

Let P = (1, 3) and Q = (3, 1)

Find the unit vector of PQ,

$u = \frac{\bar{PQ}}{|\bar{PQ}|} \\\bar{PQ} = (3-1, 1-3) = (2, -2)\\{|\bar{PQ}| = \sqrt{2^2 + (-2)^2}\\$

$|\bar{PQ}| = \sqrt{8}$

The unit vector is therefore:

$u = \frac{(2, -2)}{\sqrt{8} } \\u_1 = \frac{2}{\sqrt{8} } \\u_2 = \frac{-2}{\sqrt{8} }$

The directional derivative of g is given by the equation:

$D_ug(1,3) = g'_x(1,3)u_1 + g'_y(1,3)u_2\\D_ug(1,3) = (486*\frac{2}{\sqrt{8} } ) + (405*\frac{-2}{\sqrt{8} } )\\D_ug(1,3) = (\frac{972}{\sqrt{8} } ) + (\frac{-810}{\sqrt{8} } )\\D_ug(1,3) = \frac{162}{\sqrt{8} }$

8 0

3 years ago