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yKpoI14uk [10]
3 years ago
11

Find the value x in the figure :​

Mathematics
2 answers:
Mumz [18]3 years ago
6 0
<h3>Answer:</h3>

x = 3

<h3>step-by-step explanation:</h3>

Perimeter of rectangle = 2 ( l + b )

Where, we have

  • breadth is ( x + 6 ) cm
  • length is ( x + 2 ) cm
  • Perimeter is 26 cm.

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

  • 28 cm = 2 ( x + 2 + x + 6 )

combine like terms

  • 28 cm = 2 ( 2 x + 8 )

distributing 2 through parantheses

  • 28 cm = 2 × 2x + 2 × 8
  • 28 cm = 4x + 16

subtract 16 from both side

  • 28 cm - 16 = 4x + 16 - 16
  • 12 cm = 4x

divide both side by 4

  • 12 cm / 4 = 4 x / 4
  • 3 cm = x
Leno4ka [110]3 years ago
5 0

Answer:

{ \bf{perimeter = 2(length + width}} \\  \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\  \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}

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Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)
11111nata11111 [884]

Answer:

4x² - 6x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
  2. Combine like terms (x²):                                                                                   4x² + 2y² - 3x + y² - 2x - 3y² - x
  3. Combine like terms (y²):                                                                                   4x² - 3x - 2x - x
  4. Combine like terms (x):                                                                                    4x² - 6x
4 0
3 years ago
Solve for x:<br><br>a) x=70<br>b) x=180<br>c) x=40<br>d) x=90​
Serga [27]

Answer:

a) x = 70

Step-by-step explanation:

70 (2) +20 +20

140 + 40

180

4 0
2 years ago
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the w
garri49 [273]

Answer:

$40

Step-by-step explanation:

2 1/2 times the week

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12 x 2.5 = 30

40 x 2.5 = 100

3 0
3 years ago
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