What fractions above are equivalent? ( fractions on picture )

60% of 20 is (0.6 x 20) = 12 passes There are a further 30 quizzes remaining (50 total during the year minus 20 already written) 80% of 30 is (0.8 x 30) = 24 passes The student has passed (12 + 24) = 36 quizzes out of 50 total, giving an overall pass percentage of ((36 / 50) x 100)) = 72%.

6 0

3 years ago

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Add or subtract. Write the result in the form a+bi

STALIN [3.7K]

Number 1: (-1+2i)+(6-9i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-1+6\right)+\left(2-9\right)i\\=5-7i$

Number 2: (3-3i)-(4+7i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(3-4\right)+\left(-3-7\right)i\\Refine\\=-1-10i$

Number 3: (-5+2i)+(-2+8i)

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-5-2\right)+\left(2+8\right)i\\Refine\\=-7+10i$

8 0

3 years ago

2x^2 + 3x^3 what degree polynomial is this, and how do you know?

german

The degree is 3 ( because the largest exponent on the variable)

7 0

3 years ago