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4 years ago

6/7 divided by (-14)

Mathematics

2 answers:

zheka24 [161]4 years ago

6 0

6/7 : (-14) =

6/7 : (-14/1) =

6/7 × (-1/14) =

(-6/98) = (-3/49)

A bit of explanation :

If you devide fractions, you can flip one of the fraction and multiply it.

Natasha_Volkova [10]4 years ago

4 0

Answer:

$=-\frac{3}{49}$

Step-by-step explanation:

$\frac{6}{7} \div -14\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\\\=-\frac{\frac{6}{7}}{14}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\times\:a}\\\\\frac{\frac{6}{7}}{14}=\frac{6}{7\times\:14}\\\\=-\frac{6}{98}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=-\frac{3}{49}$

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The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago

Subtract (x^2+3x-4) -(4x-2x^2-3)

Feliz [49]

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

4 0

4 years ago

Help This is big Plsss

Sauron [17]

Answer:

The answer for this would be:

Sin P = Opp/Hyp

Sin P = 55/73

Answer = 55/73

<h2>Please mark my answer as brainliest for further answers :)</h2>

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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There are 2.54cm in an inch, 12 inches in a foot, and 5,280 feet in a mile.which expression gives the number of centimeters in a

geniusboy [140]

Answer:

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Step-by-step explanation:

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4 years ago