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tatyana61 [14]
3 years ago
10

Hi! Please help me im really confused >.< tysm g² - 4g = -3

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

Answer:

g = 1, 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring
  • Solving quadratics

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

g² - 4g = -3

<u>Step 2: Solve for </u><em><u>g</u></em>

  1. [Addition Property of Equality] Add 3 on both sides:                                     g² - 4g + 3 = 0
  2. Factor:                                                                                                                (g - 1)(g - 3) = 0
  3. Solve:                                                                                                                 g = 1, 3
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The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

 

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

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9 months ago
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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
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<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
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So the age is 48.

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