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andreev551 [17]
2 years ago
6

Solve: −3 |1−2/3v| = −9

Mathematics
2 answers:
My name is Ann [436]2 years ago
4 0

Answer:  v = -3, v = 6

<u>Step-by-step explanation:</u>

-3\bigg|1-\dfrac{2}{3}v\bigg|=-9\\\\\\\text{Divide both sides by -3}\quad \longrightarrow \quad \bigg|1-\dfrac{2}{3}v\bigg|=3\\\\\\\text{Separate into 2 equations: one for positive and the other for negative}\\\\\qquad \underline{\qquad\text{positive}\qquad}\qquad \qquad \qquad \qquad \underline{\quad \text{negative}\quad }\\.\quad 1-\dfrac{2}{3}v=3\qquad}\qquad \qquad \qquad \qquad 1-\dfrac{2}{3}v=-3\\\\\\.\qquad \qquad \qquad \text{Substract 1 from all sides}

.\qquad -\dfrac{2}{3}v=2\qquad}\qquad \qquad \qquad \qquad -\dfrac{2}{3}v=-4\\\\\\\\.\qquad \qquad \qquad \text{Multiply all sides by }-\dfrac{3}{2}\\\\.\quad -\dfrac{2}{3}v\bigg(-\dfrac{3}{2}\bigg)=2\bigg(-\dfrac{3}{2}\bigg)\qquad}\qquad  -\dfrac{2}{3}v\bigg(-\dfrac{3}{2}\bigg)=-4\bigg(-\dfrac{3}{2}\bigg)\\\\\\.\quad \qquad \large\boxed{v=-3}\qquad \qquad \qquad \qquad \quad \large\boxed{v=6}

Anuta_ua [19.1K]2 years ago
3 0

Answer: v = -3 or 6

Step-by-step explanation:

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Question is down below
Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

Probability( 2 Liquorice) = 12 / 20 * 11 / 19

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) =  3/20 * 2/19

____

Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}

<u><em>Thus, the probability should be 111 / 190</em></u>

5 0
3 years ago
The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen
butalik [34]

Answer: 144 inches.


Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

P=2l+2w

Where l is the lenght and w is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in



7 0
2 years ago
Find the difference and the next three terms -10 -20 -30
Dafna1 [17]

Answer:

- 40, - 50, - 60

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence.

- 20 - (- 10) = - 20 + 10 = - 10

- 30 - (- 20) = - 30 + 20 = - 10

Thus the difference d = - 10

To obtain a term in the sequence subtract 10 from the previous term

- 30 - 10 = - 40

- 40 - 10 = - 50

- 50 - 10 = - 60

The next 3 terms are - 40, - 50, - 60

6 0
3 years ago
Read 2 more answers
What are 3 consecutive numbers that is the sum of -27.please be right.use odd numbers
qaws [65]
You're asking for three consecutive odd numbers, then
Let, the numbers = x, x+2, x+4

It is given that, x + x+2+ x+4 = -27
3x + 6 = -27
3x = -27 - 6
x = -33/3
x = -11
Then, x+2 = -9 & x+4 = -7

In short, Your Numbers would be: -7, -9,-11

Hope this helps!
6 0
2 years ago
Please help me out!!! :) 
Olin [163]

it would be > because the square root of 2 is more than 1.

8 0
3 years ago
Read 2 more answers
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