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LUCKY_DIMON [66]
3 years ago
14

-2(x-5)=6(2- 1/2x) Please show your work. Distributive property, remove variable

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

The solution of given equation is x=2

Further explanation:

In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.

Given:

-2(x-5)=6(2-\frac{1}{2}x)\\Apply\ distributive\ property\\-2x-2(-5)=(6)(2)-(6)(\frac{1}{2}x)\\-2x+10=12-\frac{6}{2}x\\-2x+10=12-3x\\-2x+3x=12-10\\x=2

The solution of given equation is x=2

Keywords: Linear Equation, Distributive property

Learn more about linear equations at:

  • brainly.com/question/10169676
  • brainly.com/question/10208427

#LearnwithBrainly

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The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
2 years ago
Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.
Gennadij [26K]

Answer:  The answer is Yes.


Step-by-step explanation:  Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.

From second law of motion, we have

Weight = mass × acceleration due to gravity.

That is, W = m × 9.8 m/sec².

The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.

Thus, if Michael' mass is 8 kg, then his weight will be

W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.

Thus, his estimation is perfectly OK.


8 0
3 years ago
In a large gift basket, the average number of apples, peaches,
Darina [25.2K]

Answer:

481

Step-by-step explanation:

8 0
2 years ago
Find C. round to the nearest tenth:
Anna [14]

Answer:

56.3 cm

Step-by-step explanation:

\dfrac{\sin 28^\circ}{27} = \dfrac{\sin 102^\circ}{c}

c\sin 28^\circ = 27 \sin 102^\circ

c = \dfrac{27 \sin 102^\circ}{\sin 28^\circ}

c = 56.3

Answer: 56.3 cm

5 0
2 years ago
Read 2 more answers
Please help me. I have no idea to this question.<br> a) 3ax+3ay-bx-by<br> b) 10ay²-5by²+2a²y-aby
vladimir2022 [97]

Answer:

a)3a(x+y)-b(x+y)

=(3a-b)(x+y)

b)5y(2ay-by)+a(2ay-by)

=(5y+a)(2ay-by)

7 0
2 years ago
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