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andrezito [222]
3 years ago
8

Find the value of x from the given equation. x3 = 125/512 518 Sla 516 815

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

x = 5/8

Step-by-step explanation:

x^3 = 125/512

Take the cube root of each side

x^3 ^1/3 = (125/512)^ 1/3

We know (a/b) ^1/3 = a^ 1/3  / b^1/3

x = (125) ^1/3 / (512)^ 1/3

x = 5/8

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5. increase £101 by 16%
Svetlanka [38]
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%. 
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
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x = 20
7 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:

<u>a) x = 3</u>

<u>b) z = 10</u>

<u>c) p = 2</u>

<u>d) x = 7</u>

<u>e) u = 1</u>

Step-by-step explanation:

a) 2x = 6

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

(2/2)x = 6/2

<u>x = 3</u>

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

<u>z = 10</u>

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

<u>p = 2</u>

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

<u>x = 7</u>

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

<u>x = 1</u>

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
3 years ago
(I have to check 2) Which of the following statements are true? Check all that apply.
miss Akunina [59]

Answer:

The true statements are B and C

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3 years ago
Which expression is equivalent to 3√64k12?
jasenka [17]
The first one because when you simplify it equals to  3<span>√2x2x2x2x2x2xk12, so then you can take out two 2s and 4ks.

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4 years ago
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