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vredina [299]
3 years ago
15

What is the solution of the ineuality 1/2x+1/4 > 3/2x+3/4 ?

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

x < - \frac{1}{2}

Step-by-step explanation:

Given

\frac{1}{2} x + \frac{1}{4} > \frac{3}{2} x + \frac{3}{4}

The lowest common multiple of 2 and 4 is 4

Multiply through by 4 to clear the fractions

2x + 1 > 6x + 3 ( subtract 2x from both sides )

1 > 4x + 3 ( subtract 3 from both sides )

- 2 > 4x ( divide both sides by 4 )

- \frac{2}{4} > x

- \frac{1}{2} > x , thus

x < - \frac{1}{2}

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A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events a
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Answer:

The probability is 0.0192 to four decimal places.

Step-by-step explanation:

In this question, we are asked to calculate the probabilities that three events will occur at the same time.

Firstly, we identify the individual probabilities.

The probability of 6 showing In a throw of die is 1/6

The probability of a coin showing head in a flip of coin is 1/2

The probability of a face card being drawn in a deck of cards is 12/52( There are 12 face cards in a deck of cards)

Mathematically to get the probability of all these events happening, we simply multiply all together.

This will be ;

1/6 * 1/2 * 12/52 = 1/52 = 0.0192 ( to 4 decimal place)

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3 years ago
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Step-by-step explanation:

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GEOMETRY. PLEASE HELP. I'M STUMPED!!!
tatiyna
Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R

Angle B = 3v+4
Angle Q = 8v-6
Let's find v

3v+4 = 8v-6
-5v = -10
v = 2

Angle B = 3v + 4
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Angle B = 10.

The correct answer is letter C. 10


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3 years ago
Translate this phrase into an algebraic expression.
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Answer:

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Step-by-step explanation:

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