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Darina [25.2K]
3 years ago
13

12 - x = 82 \\ \\ find \: x" alt=" 12 - x = 82 \\ \\ find \: x" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
notka56 [123]3 years ago
4 0
Heya!!!
Answer to your question:
12 - x = 82
12 - 82 = x
x = - 70
Hope it helps *_*
SashulF [63]3 years ago
4 0

Hi there! :)

<u><em>Answer: </em></u>

<u><em>x=94</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you switch sides of an equation.

x-12=82

Then, you add by 12 from both sides of an equation.

x-12+12=82+12

You add by the numbers from left to right.

82+12=94

<u><em>Final answer is x=94</em></u>

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you! :)

:D

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The sun and volcanic eruptions influence earth's climate . choose one of these influences and research the effects it has on ear
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2 years ago
A jewellry shop sells 240 necklaces in a month
Colt1911 [192]

Answer:

Ratio is 1:3

Step-by-step explanation:

Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

We have to work out the ratio for online sales to shop sales

Total sales .. 240

Shop sale .. 180

Online sa .. 60

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5 0
3 years ago
Read 2 more answers
The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe
juin [17]

The height of container is 8 feet

<em><u>Solution:</u></em>

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

<em><u>The volume of container is given as:</u></em>

v = length \times width \times height

Given that volume of the container is 216 cubic feet

216 = l \times w \times h

Substitute eqn 1 and eqn 2 in above formula

216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0

Solve by factoring

(h-8)(h^2+4h+27) = 0

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

h - 8 = 0\\\\h = 8

Also,

h^2+4h+27 = 0

Solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}

h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}

Therefore, on solving we get,

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

<em><u>Thus solutions of "h" are:</u></em>

h = 8

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0
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Is 1/4 and 3/8 proportional
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Answer:

no it's not because is not

8 0
2 years ago
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