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vovikov84 [41]
3 years ago
12

Which of the following steps indicates the addition property of equality while solving the equation –1 – 6x = x – 15? Question 4

options: A) x = 14∕2 B) –1 – 6x + 15 = x – 15 + 15 C) –1 – 6x = x – 15 D) 23 – 6x – 24 = x – 15
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

B) -1-6 x +15 = x - 15 +15

Step-by-step explanation:

<u>Explanation</u>:-

Given equation is  –1 – 6 x = x – 15

<em>By addition property of equality </em>

<em>                        ⇒     - 1 - 6 x + 15 = x - 15 +15</em>

                      ⇒      - 6 x + 14  = x

subtracting 'x' on both sides ,we get

                       ⇒      - 6 x -x +14 =0

                        ⇒      - 7 x +14 =0

                         ⇒      -7 x = - 14

   Dividing '-7'  on both sides , we get

                                 x  = 2

<em>The solution of given equation is    x  = 2</em>

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Select all the correct answers. What is 221,000,000,000,000,000,000 expressed in scientific notation? 2. 21 × 1021 2. 21E20 2. 2
goldfiish [28.3K]

To solve the problem we must know about Scientific notations.

<h2>Scientific notations</h2>

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

<h2>Explanation</h2>

Given to us

  • 221,000,000,000,000,000,000

The above number can be written as 2.21e+21.

As in scientific notations, the number between 1 and 10 can only be represented, therefore, the number can be only 2.21e+21.

Hence, the number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

Learn more about scientific notations:

brainly.com/question/1740231

7 0
2 years ago
A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t
Marat540 [252]

<u>Answer-</u>

<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>

<u>Solution-</u>

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = (30\times \frac{95}{100})^{\circ}

Then the angle of third swing = (30\times (\frac{95}{100})^2)^{\circ}

So, this follows a Geometric Progression.

(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)

a = The initial term = 30

r = Common ratio = \frac{95}{100}

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

T_n=ar^{n-1}

Putting the values,

\Rightarrow 1=30(\frac{95}{100})^{n-1}

\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}

Taking logarithm of both sides,

\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}

\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})

\Rightarrow -1.5=(n-1)(-0.02)

\Rightarrow 1.5=(n-1)(0.02)

\Rightarrow n-1=\dfrac{1.5}{0.02}

\Rightarrow n-1=75

\Rightarrow n=76

Therefore, after 76 swings the angle through which it swings less than 1°

8 0
3 years ago
In which of the expressions below will x = 2.5? Select all that apply. A) 10x+209=5 B) 10x–12=38 C) 9x+18=45 D) 6x=15 E) 12x–4=2
Vinil7 [7]

Answer:

Step-by-step explanation:

6 0
2 years ago
Help please!!! I don’t understand this
oee [108]
I Tried but I don’t understand either I’ll try to find more information about
4 0
2 years ago
(x +y)(x-y), ifx= -3, y=-5
Rufina [12.5K]

Answer:

-16

Step-by-step explanation:

(-3 + (-5))(-3 - (-5))

(-3 - 5)(-3 + 5)

(-8)*2

<u>-16</u>

5 0
3 years ago
Read 2 more answers
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