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4 years ago

14

AC aquarium holds 20 gallons of water how many quarts of water does the aquarium hold

1 answer:

Troyanec [42]4 years ago

5 0

1 gallon has 4 quarts
20 times 4 is 80 quarts.

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3 years ago

What errors did the student make? Check all that apply. The percent values were written incorrectly in the equation. The amount

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A gym charges a $40 registration fee and $25 per month of membership. Create an equation to model the price (y) based on (x) mon

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3 years ago

The figures below are similar. The labeled sides are corresponding.

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2 years ago

If (3-4i) (x+yi) = 1 + 0i. The value of x and y is

Black_prince [1.1K]

Step-by-step explanation:

$\textsf{\large{\underline{Solution}:}}$

<h3><u>Given That:</u></h3>

$\rm: \longmapsto (3 - 4i)(x + iy) = 1 + 0i$

$\rm: \longmapsto 3(x + iy) - 4i(x + iy)= 1 + 0i$

$\rm: \longmapsto 3x + 3iy - 4ix +4y= 1 + 0i$

<u>On rearranging the terms, we get:</u>

$\rm: \longmapsto (3x + 4y)+ (3y - 4x)i = 1 + 0i$

<u>Comparing both sides, we get:</u>

$\rm: \longmapsto 3x + 4y = 1 --- (i)$

$\rm: \longmapsto 3y - 4x = 0 --- (ii)$

<u>Multiplying (i) by 4, we get:</u>

$\rm: \longmapsto 12x + 16y = 4--- (iii)$

<u>Multiplying (ii) by 3, we get:</u>

$\rm: \longmapsto 9y - 12x = 0 --- (iv)$

<u>Adding equations (iii) and (iv), we get:</u>

$\rm: \longmapsto25y = 4$

$\rm: \longmapsto y =\dfrac{4}{25}$

<u>From (ii), we get:</u>

$\rm: \longmapsto 3y - 4x = 0$

$\rm: \longmapsto 3y = 4x$

$\rm: \longmapsto x = \dfrac{3}{4} y$

$\rm: \longmapsto x = \dfrac{3}{4} \times \dfrac{4}{25}$

$\rm: \longmapsto x = \dfrac{3}{25}$

<u>Therefore:</u>

$\rm: \longmapsto (x,y)= \bigg( \dfrac{3}{25}, \dfrac{4}{25} \bigg)$

★ <u>Which is our required answer.</u>

$\textsf{\large{\underline{More To Know}:}}$

$\rm1.\ i^{4n} = 1$

$\rm2. \ i^{4n+1} = i$

$\rm3.\ i^{4n+2} = -1$

$\rm4.\ i^{4n+3} = -i$

4 0

3 years ago