What is the value of x?

Balu had a collection of coins. 1/2 of the coins are from asian countries, 1/3 of them from european countries, 36 are from amer

Georgia [21]

The total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.

We assume the total coins with Balu to be x.

The fraction of coins from Asian countries = 1/2.

Thus, the number of coins from the Asian countries = 1/2 of x = x/2.

The fraction of coins from European countries = 1/3.

Thus, the number of coins from the European countries = 1/3 of x = x/3.

The number of coins from America = 36.

Thus, the total number of coins = x/2 + x/3 + 36.

But, we assumed that the total number of coins is x.

Thus, we get a linear equation in one variable as follows:

x = x/2 + x/3 + 36.

We solve this equation as follows:

x = x/2 + x/3 + 36,

or, x - x/2 - x/3 = 36,

or, (6x - 3x - 2x)/6 = 36,

or, x/6 = 36,

or, x = 36*6 = 216.

Thus, the total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.

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3 0

2 years ago

If the modulus is 4 and the real part is –2.0, what is the imaginary part?

faltersainse [42]

Answer:

3.5

Step-by-step explanation:

edgenuity2020

3 0

4 years ago

How do you solve - 16/21 - (- 13/15)

Dennis_Churaev [7]

$\bf -\cfrac{16}{21}-\left( -\cfrac{13}{15} \right)\implies -\cfrac{16}{21}+\cfrac{13}{15}\impliedby \textit{we'll use the LCD of 105}
\\\\\\
\cfrac{(-16\cdot 5)~+~(13\cdot 7)}{105}\implies \cfrac{-80~+~91}{105}\implies \cfrac{+11}{105}\implies \cfrac{11}{105}$

in case you wonder why we used 105 as LCD,

21 = 3 * 7

15 = 3 * 5

the "3" is common to both denominators, so we "use it once" and our LCD is then 3 * 7 * 5.

7 0

3 years ago

How Can I Figure Out This Equation?

vovikov84 [41]

m = -2

Let’s check our work:

12 + -2 = 10

The correct answer is -2

Hope this helps!

6 0

3 years ago

Ayudaaaaa porfavor Convertir las unidades de medida 8 000 m = _______ km 4 000 g = _______ kg 3 000 m = ________ km 7 m = ______

jek_recluse [69]

Answer:

a) $x = 8\,km$ , b) $x = 4\,kg$ , c) $x = 3\,km$ , d) $x = 700\,cm$ , e) $x = 3\,cm$ , f) $x = 100\,mm$ , g) $x = 7\,mm$ , h) $x = 10000\,mL$ , i) $x = 8\,m$ , j) $x = 6000\,g$

Step-by-step explanation:

a) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 8000\,m \times \frac{1\,km}{1000\,m}$

$x = 8\,km$

b) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 4000\,g \times \frac{1\,kg}{1000\,g}$

$x = 4\,kg$

c) 1 kilómetro equivale a 1000 metros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 3000\,m \times \frac{1\,km}{1000\,m}$

$x = 3\,km$

d) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 7\,m \times \frac{100\,cm}{1\,m}$

$x = 700\,cm$

e) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 30\,mm \times \frac{1\,cm}{10\,mm}$

$x = 3\,cm$

f) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 10\,cm \times \frac{10\,mm}{1\,cm}$

$x = 100\,mm$

g) 1 centímetro equivale a 10 milímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 70\,mm\times \frac{1\,cm}{10\,mm}$

$x = 7\,mm$

h) 1 litro equivale a 1000 mililitros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 10\,L\times \frac{1000\,mL}{1\,L}$

$x = 10000\,mL$

i) 1 metro equivale a 100 centímetros, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 800\,cm \times \frac{1\,m}{100\,cm}$

$x = 8\,m$

j) 1 kilogramo equivale a 1000 gramos, entonces obtenemos el valor requerido mediante la siguiente regla de tres simple:

$x = 6\,kg\times \frac{1000\,g}{1\,kg}$

$x = 6000\,g$

8 0

3 years ago