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2 years ago

9

Num cinema, há 12 fileiras com 16 poltronas e 15 fileiras com 18 poltronas. O número total de poltronas é

1 answer:

Dvinal [7]2 years ago

8 0

Responder:

462 assentos

Explicação passo a passo:

Dado que :

Número da linha = 12; Número de assentos por fila = 16

Número de linhas = 15; número de assentos por fila = 18

Número total de assentos para as 12 filas:

12 * 16 = 192 assentos

Número total de assentos para as 18 filas:

15 * 18 = 270 assentos

Número total de assentos:

(192 + 270) = 462 assentos

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Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

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Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

$x - y = 25$

$2x + 3y = 180$

(2)

$2x - 3y = -5$

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(3)

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$-12x + y = 168$

Solutions

$(-17,-36)$

$(47, 33)$

$(51, 26)$

Required

Match equations with solutions

(1) $x - y = 25$ and $2x + 3y = 180$

Make x the subject in: $x - y = 25$

$x = 25 + y$

Substitute $x = 25 + y$ in $2x + 3y = 180$

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$50 + 5y = 180$

Collect like terms

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$5y = 130$

Solve for y

$y =26$

Recall that: $x = 25 + y$

$x = 25 + 26$

$x = 51$

So:

$(x,y) = (51,26)$

(2) $2x - 3y = -5$ and $11x + y = 550$

Make y the subject in $11x + y = 550$

$y = 550 - 11x$

Substitute $y = 550 - 11x$ in $2x - 3y = -5$

$2x - 3(550 - 11x) = -5$

$2x - 1650 + 33x = -5$

Collect like terms

$2x + 33x = -5+1650$

$35x = 1645$

Solve for x

$x = 47$

Solve for y in $y = 550 - 11x$

$y = 550 - 11 * 47$

$y = 550 - 517$

$y = 33$

So:

$(x,y) = (47,33)$

(3)

$x - y = 19$ and $-12x + y = 168$

Make y the subject in $-12x + y = 168$

$y = 168 + 12x$

Substitute $y = 168 + 12x$ in $x - y = 19$

$x - 168 - 12x = 19$

Collect like terms

$x -12x = 168 + 19$

$-11x = 187$

Solve for x

$x = -17$

Solve for y in $y = 168 + 12x$

$y =168-12 *17$

$y =-36$

So:

$(x,y) = (-17,-36)$

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2 years ago