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Kazeer [188]
3 years ago
6

What is the value of x in the equation 5(4x-10)+10x=4(2x-3)+2(x-4) ?

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
20x - 50 + 10x = 8x - 12 + 2x - 8
30x - 50 = 10x - 20
30x - 10x = -20 + 50
20x = 30
x = 3/2 <==
PilotLPTM [1.2K]3 years ago
3 0

Answer:

\frac{3}{2}

Step-by-step explanation:

Here, the given expression is,

5(4x-10)+10x=4(2x-3)+2(x-4)

By distributive property,

20x - 50 + 10x = 8x - 12 + 2x - 8

By combining like terms,

30x -50=10x-20

Adding 50 on both sides,

30x=10x-20+50

30x = 10x + 30

Subtracting 10x on both sides,

20x = 30

Divide both sides by 20,.

x=\frac{3}{2}

Hence, LAST option is correct.

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Simplify.<br><br> 5 • 2 • (–4) + 6 ÷ 2
Natasha2012 [34]

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

4 0
2 years ago
Calcule o saldo de salário, o funcionário foi admitido em 10 de janeiro como mensalista, salário R$ 1400,00?
Sholpan [36]

Responda:

$ 980

Explicação passo a passo:

Dado que:

Salário mensal = $ 1400

Data de emprego = 10 de janeiro

Usando o sistema de mês de 30 dias:

Taxa diária =. $ 1400/30 = $ 46.66666

Dias não trabalhados = janeiro - 9 de janeiro = 9 dias

Subtraia o salário de 9 dias do total:

Salário total - (9 * taxa diária)

$ 1400 - (9 * $ 46,66666)

$ 1400 - $ 420

= $ 980

Portanto, o saldo do salário é de $ 980

7 0
3 years ago
Please help it’s my final
Kryger [21]

Answer:

Step-by-step explanation:

5 0
2 years ago
La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio as
elixir [45]

Answer:

x^2 = 121

Step-by-step explanation:

Sea el ancho del terreno x metros

Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x

Matemáticamente, el área de un rectángulo es;

Anchura longitud Por lo tanto, tenemos

x * 2x = 242 metros cuadrados

Así; 2x ^ 2 = 242

x ^ 2 = 242/2

x ^ 2 = 121

7 0
3 years ago
In triangle abc angle a +angle b =90 then sin a =
Ivan

Answer:

sin(a)=cos(b)

Step-by-step explanation:

we know that

In the triangle abc

if m\angle a+m\angle b=90^o

then

m\angle c=90^o

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

so

sin(a)=\frac{x}{z}

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

so

cos(b)=\frac{x}{z}

therefore

sin(a)=cos(b)

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

so

sin(a)=cos(b)

cos(a)=sin(b)

8 0
3 years ago
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