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2 years ago

-2(x + 5) = -16 = ???

Mathematics

2 answers:

34kurt2 years ago

8 0

Answer:

if you're looking for x its -13

MaRussiya [10]2 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Given

-2(x + 5) = -16

Expand the bracket

-2 x X +-2 x 5 = 16

The positive sign changes to minus

-2x - 10 = -16

Add 10 to both sides

-2x -10 + 10 = -16 + 10

-2x = -6

Divide both sides by-2

x = -6/-2

x = 3

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If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.

fenix001 [56]

Given:

$h:k=2:5,x:y=3:4,2h+x:k+2y=1:2$

To find:

$h-x:k-y$

Solution:

We have, $h:k=2:5$ and $x:y=3:4$ .

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

$2h+x:k+2y=1:2$

It can be written as

$\dfrac{2h+x}{k+2y}=\dfrac{1}{2}$

$\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}$

$\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}$

$2(4a+3b)=1(5a+8b)$

On further simplification, we get

$8a+6b=5a+8b$

$8a-5a=8b-6b$

$3a=2b$

$a=\dfrac{2b}{3}$

Now,

$h-x:k-y=\dfrac{h-x}{k-y}$

$h-x:k-y=\dfrac{2-3b}{5a-4b}$

$h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}$

$h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}$

On further simplification, we get

$h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}$

$h-x:k-y=\dfrac{-5b}{-2b}$

$h-x:k-y=\dfrac{5}{2}$

$h-x:k-y=5:2$

Therefore, the ratio $h-x:k-y$ is $5:2$ .

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2 years ago

An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc

kodGreya [7K]

The formula of a volume of a rectangle prism:

$V=lwh$

l - length

w - width

h - height

We have

$l=n^2+2;\ w = 10,\ h=n+5$

Substitute:

$V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100$

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>

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Allushta [10]

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Anuta_ua [19.1K]

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2 years ago

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