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shtirl [24]
3 years ago
12

What is the solution to 2x-8<12 ? A. X<2 B. X<8 C. X<10 D. X<40

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0
2x - 8 < 12
2x < 12 + 8
2x < 20
x < 20/2
x < 10
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A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck
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Answer:

The answer is "\frac{1}{47}".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}

Thus, \frac{1}{47} here is the necessary chance.

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3 years ago
Calculate the net profit margin for a
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The answer is D, 14 percent
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Use the Pythagorean Theorem to find an approximate value of x
kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x  + 1 - 9x²  - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20  ; c = -15

D = b² - 4ac  = (-20)² - 4*4*(-15) = 400 + 240 = 640

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x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \  x =\dfrac{-5.30}{8}\\\\

x = 5 .66   ; x = -0.66

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Answer : x = 5.66

7 0
3 years ago
What is the answer to this o.428​
Anettt [7]

Answer:

0.428o

Step-by-step explanation:

hope this helps

3 0
3 years ago
Find the difference. (12m + 1) - (5m - 4)
Law Incorporation [45]

Answer:

7m + 5

Step-by-step explanation:

1) Simplify.

(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4

2) Eliminate unnecessary parenthesis.

(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.

3) Combine like terms.

12m - 5m = 7m, 4 + 1 =5 -> 7m + 5

The solution is 7m + 5

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