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natali 33
2 months ago
13

What is the value of x in the equation 32(4x – 1) – 3x = 54 –(x + 2)?

Mathematics
2 answers:
lawyer [12.5K]2 months ago
8 0
128x - 32 - 3x - 54 + x + 2 = 0
128x - 3x + x + 2 - 32 - 54 = 0
126x - 84 = 0
126x = 84
x = 2/3
AnnZ [12.3K]2 months ago
5 0

Answer:

The value of x is:

2/3

Step-by-step explanation:

We need to find the value of x from the equation:

32(4x – 1) – 3x = 54 –(x + 2)

32(4x – 1) – 3x = 54 –(x + 2)

⇒ 32×4x-32-3x= 54-x-2  (applying the distributive property)

⇒ 128x-32-3x=54-x-2

Gathering the x terms on one side and the constants on the other gives us

128x-3x+x= 54-2+32

⇒ 126x= 84

⇒ x= 84/126

⇒ x= 2/3

Thus, the value of x is:

2/3

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Svet_ta [12734]

Answer:

1. Conduct four flips of a fair coin; heads will stand for teenagers who like to watch films in theaters, while tails represent those who prefer otherwise.

2. Draw four cards from a standard deck, where red suits indicate those who enjoy going to theaters for movies, and black suits indicate the opposite.

4. Roll a six-sided die four times; even numbers will denote teenagers who favor theater viewings, while odd numbers will denote those who do not.

Step-by-step explanation:

The procedure involves repeating an action four times, each time presenting a 50/50 probability.

To elaborate on point 1, the flipping of the coin occurs four times, with a fair coin presenting each outcome with equal chances.

For point 2, drawing four cards allows for a balanced chance of pulling either a red or black card from the deck.

Point 3 inaccurately states performing the action three times, so it is incorrect.

In point 4, rolling the die four times also adheres to a 50/50 ratio for even versus odd outcomes.

Point 5 is incorrect because the range of 0-5 consists of six figures, while 6-9 includes only four, failing to create a balanced 50/50 scenario.

6 0
2 months ago
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
PIT_PIT [12445]

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wish to calculate the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

8 0
2 months ago
Read 2 more answers
What number comes next in the series? 31, 1031, 402, 16, ____
lawyer [12517]

Answer:

Someone has previously provided an answer to this question, and I must attribute it to writersparadise. All credit goes to him/her.

Step-by-step explanation:

There can be various responses to this query. Usually, the next number following 16 has digits that add up to 8.

Explanation:

First number 31 – The digits add up to 3 + 1 = 4  

Second number 1031 – The sum of the digits is 1 + 0 + 3 + 1 = 5

Third number 402 – The digits sum to 4 + 0 + 2 = 6

Fourth number 16 – Adding the digits gives 1 + 6 = 7

Thus, the missing number could either be the single digit 8 or any of these two-digit options: 17, 26, 35, 44, 53, 62, 71, or 80. It may also include larger numbers consisting of the digits from the mentioned two-digit figures combined with 0, like 260 or 7001.

Read more.in - https://.in/question/3032926#readmore

4 0
2 months ago
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