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Oksanka [162]
3 years ago
10

2 3/4 x 8 = blank/4 x 8/1

Mathematics
2 answers:
Alex3 years ago
5 0

Answer: 11

Step-by-step explanation:

2 3/4 × 8 = p/4 × 8/1

Let p be the missing number

Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4

11/4 × 8 = p/4 ×8

p= 11

I hope this helps.

labwork [276]3 years ago
5 0
2 3/4 x8= 22. X/4 x 8 =22. 8/8=22/8. X/4= 2.75. 4x4 = 2.75x4
X=11
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Let's assume that :

{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}

Now , Rationalizing the denominator or in other words multiplying and dividing {z} by the <em>conjugate</em> of the denominator

{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}

{:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}

{:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}

{:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}

{:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}

{:\implies \quad z=\sf \dfrac{16+12\iota}{10}}

{:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}

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