If 3x - 14 - 2x - 53 - 52 - 2x- then the value of x is equal to -

The correct option is D 2325 3x 14 2x+53=52 2x ⇒9x 3 8x 2012=5 4x2 ⇒ x 23= 6(5 4x) ⇒ x 23= 30 24x ⇒ 25x= 53 ⇒ x= 5325=2325 ...

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Byju's Answer

Standard X

Mathematics

Sum of N Terms of an AP

If 3x - 14 ...

Question

If $\frac{3 x - 1}{4} - \frac{2 x + 5}{3} = \frac{5}{2} - 2 x,$ then the value of x is equal to :

2 \frac{1}{25}

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2 \frac{1}{35}

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2 \frac{3}{35}

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2 \frac{3}{25}

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Solution

The correct option is D $2 \frac{3}{25}$
$\frac{3 x - 1}{4} - \frac{2 x + 5}{3} = \frac{5}{2} - 2 x$
$\Rightarrow \frac{9 x - 3 - 8 x - 20}{12} = \frac{5 - 4 x}{2}$
$\Rightarrow x - 23 = 6 (5 - 4 x)$
$\Rightarrow x - 23 = 30 - 24 x$
$\Rightarrow 25 x = 53$
$\Rightarrow x = \frac{53}{25} = 2 \frac{3}{25}$

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A pair of dice is rolled a 1000 times. The results are as shown.

$\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 1 & 34 & 26 & 23 & 28 & 36 & 30 2 & 25 & 35 & 20 & 33 & 20 & 23 3 & 25 & 27 & 36 & 23 & 23 & 30 4 & 30 & 32 & 24 & 35 & 23 & 31 5 & 33 & 28 & 30 & 25 & 20 & 26 6 & 26 & 35 & 21 & 28 & 25 & 31 \end{matrix}$

(i) What is the probability of getting a double?
(ii) What is the probability of getting a 6 on at least one of the two dice?
(iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]

A pair of dice is rolled a 1000 times. The results are as shown.

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If 3x−14−2x+53=52−2x, then the value of x is equal to :

The correct option is D 23253x−14−2x+53=52−2x⇒9x−3−8x−2012=5−4x2⇒x−23=6(5−4x)⇒x−23=30−24x⇒25x=53⇒x=5325=2325

If $\frac{3 x - 1}{4} - \frac{2 x + 5}{3} = \frac{5}{2} - 2 x,$ then the value of x is equal to :