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tekilochka [14]
3 years ago
14

2/3=n/12 solve the proportion

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer: n=8

<u>Cross-multiply</u>

<u></u>2/3=n/12<u></u>

<u></u>(2)*(12)=n*(3)<u></u>

<u></u>24=3n<u></u>

<u></u>

<u>Flip the equation</u>

<u></u>24=3n---->3n=24<u></u>

<u></u>

<u>Divide both sides by 3</u>

<u></u>3n/3=24/3<u></u>

<u></u>24/3=8----> n=8<u></u>

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Multiply:<br>(x+y)by (x+y)<br>a+b by a^2-b^2<br>(a+5) by (a^2-2a-3)<br>(a^2-ab+b^3) by (a+b)​
Law Incorporation [45]

Answer:

Multiply:

(x+y)by (x+y)

: \implies(x + y)(x + y)

: \implies \: x(x + y) + y(x + y)

: \implies {x}^{2}  + xy + xy +  {y}^{2}

: \implies{x}^{2}  + 2xy +  {y}^{2}

Multiply:

a+b \:  by  \: a^2-b^2

: \implies( {a}^{2}  +  {b}^{2} ) \times (a + b)

: \implies \:  {a}^{2} (a + b) -  {b}^{2} (a + b)

: \implies \:  {a}^{3}  +  {a}^{2} b -  {ab}^{2} -  {b}^{3}

Multiply:

(a+5) by (a^2-2a-3)

: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }

: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)

: \implies(a \times  {a}^{2}  - a \times 2a - a \times 3) + (5 \times  {a}^{2}  - 5 \times 2a - 5 \times 3)

: \implies{a}^{3} -  {2a}^{2} - 3a + 5 {a}^{2}   - 10a - 15

: \implies{ {a}^{3} +  {3a}^{2}   - 13a - 15}

Multiply:

(a^2-ab+b^3) by (a+b)

: \implies{(a + b) \times ( {a}^{2}  - ab +  {b}^{3} )}

: \implies \: a( {a}^{2} - ab +  {b}^{3}) + b( {a}^{2}  - ab +   {b}^{3}  )

: \implies {a}^{3} -  {a}^{2} b + a {b}^{3}  + {a^2b} -  {ab}^{2}  +  {b}^{4}

: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4}  }

Step-by-step explanation:

\blue{ \frak{Seolle_{aph.rodite}}}

7 0
2 years ago
Please help! I will rank and thank! :)
Leokris [45]
Y=mx+b
since the variable that will increase or deacrease is the number of books
then we set it to x
x=number of books
the member fee is constant so
b=10
the amount of money will increase by 5.99 per book so
m=5.99

the total amount of money will be our function since it depends on x
y=total amount of money
y=5.99x+10
total amount of money=5.99(number of books)+membership fee
6 0
3 years ago
Please I need help on this question.
Juli2301 [7.4K]

Answer:

126mm

Step-by-step explanation:

To find the diameter of the circle = circumference divided by pi = 56.52/3.14=18mm.

There are 4 circles = 18mmx4=72mm

Add on the 3x strips = 72+(18x3) = 126mm.

Hope this helps

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%2015%3D2x-9" id="TexFormula1" title="\sf 15=2x-9" alt="\sf 15=2x-9" align="absmiddle" cl
Genrish500 [490]

Answer:

x=12

Step by step explanation:

Step by step explanation:Add 9 to both sides :

15 = 2x - 9

15 + 9 = 2x - 9 + 9

Simplify:

24 = 2x

Divide both sides to get the result:

24 = 2x

24/2 = (2x)/2

Result:

x=12

\boxed{\sf Answered \: By\: Subhash}

\boxed{\sf Good\: luck \: for \: your \:assignment}

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2 years ago
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Answer:

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3 years ago
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