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3 years ago

Add fractions with unlike denominators 2/3+2/4

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

First make them into like denominators. 8/12+6/12=14/12=1 1/6

bonufazy [111]3 years ago

7 0

Hello There!

You need to make the denominators the same.
Find the LCM.
It is 12.
Make them have the same denominator:
8/12 + 6/12.
Solve:
6 + 8 = 14
14/12 or 1 2/12

Hope This Helps You!
Good Luck :)

- Hannah ❤

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Find the 8th term of the geometric sequence 5, -15, 45

FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{-15}{5}$ = - 3 , then

a₈ = 5 × $(-3)^{7}$ = 5 × - 2187 = - 10935

6 0

1 year ago

The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$

Ksivusya [100]

Let simplify the equations $a^7xy-a^6y-a^5x=a^4(b^4-1)$ and $(a^mx-a^n)(a^py-a^2)=a^4b^4$ :

1) $a^7xy-a^6y-a^5x+a^4=a^4b^4$

and

2) $a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4$ .

Equate the coefficients:

 $xy: m+p=7 \\ y: n+p=6 \\ x: m+2=5 \\ 1: n+2=4$ .
Then $n=2 \\ p=4 \\ m=3$ and mnp=24.

3 0

3 years ago

Calcula y comprueba las ecuaciones: porfavor alguienn la nesesito pliss a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29

Alexeev081 [22]

Answer:

a) x = 3

b) z = 10

c) p = 2

d) x = 7

e) u = 1

Step-by-step explanation:

a) 2x = 6

Despejamos x dividiendo por 2 a amabos lados de la eacuacion.

(2/2)x = 6/2

x = 3

Si remplazamos x en la ecuación original:

2(3)=6

6 = 6

Queda demostrado.

b) 10 + z = 20

Despejamos z restando 10 en amabos lados de la eacuacion.

10-10+z = 20-10

z = 10

Si remplazamos z en la ecuación original:

10 + 10=20

20 = 20

Queda demostrado.

c) p + 9 = 11

Despejamos p restando 9 en amabos lados de la eacuacion.

p + 9 - 9 = 11-9

p = 2

Si remplazamos p en la ecuación original:

2 + 9 = 11

11 = 11

Queda demostrado.

d) 3x + 8 = 29

Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.

3x+8-8 = 29-8

3x = 21

(3/3)x = 21/3

x = 7

Si remplazamos x en la ecuación original:

3(7) + 8 = 29

21 + 8 = 29

29 = 29

Queda demostrado

e) 2u + 8 = 10

Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.

2u+8-8 = 10-8

2x = 2

(2/2)x = 2/2

x = 1

Si remplazamos x en la ecuación original:

2(1) + 8 = 10

2 + 8 = 10

10 = 10

Queda demostrado

Espero te haya sido de ayuda!

5 0

2 years ago

What is the perimeter, P, of a rectangle that has a length of x + 6 and a width of y - 1?

Mekhanik [1.2K]

Answer: P = 2x + 2y + 10

Step-by-step explanation: The perimeter (P) of a rectangle is given as

P = 2L + 2W

By factorizing the right hand side of the equation we now have

P = 2(L + W)

However, the length of the rectangle is given as x + 6 and the width is given as y - 1

If P = 2(L + W), then

P = 2(x + 6 + {y - 1} )

P = 2(x + 6 + y -1)

P = 2(x + y + 5)

After expanding the bracket, we now have

P = 2x + 2y + 10

5 0

3 years ago

Read 2 more answers

Find the smallest possible solution to 2/3x^2=24

Bezzdna [24]

$\dfrac{2}{3} x^2 = 24$

---------------------------------------------------------------------
Divide by 2/3 on both sides :
---------------------------------------------------------------------
$x^2 = 24 \div \dfrac{2}{3}$

---------------------------------------------------------------------
Change the divide fraction to multiplication fraction :
---------------------------------------------------------------------
$x^2 = 24 \times \dfrac{3}{2}$

---------------------------------------------------------------------
Simplify :
---------------------------------------------------------------------
$x^2 = 36$

---------------------------------------------------------------------
Square root both sides :
---------------------------------------------------------------------
$x = \pm \sqrt{36}$

---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------
$x = \pm6$

---------------------------------------------------------------------
Answer: The smallest possible value of x is -6
---------------------------------------------------------------------

4 0

3 years ago