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zloy xaker [14]
3 years ago
10

If you can solve 20 multiplication facts in one minute how long will it take to solve 50 facts

Mathematics
2 answers:
Ad libitum [116K]3 years ago
8 0

If you can solve 20 multiplication facts in one minute then you could solve 50 multiplication facts in 3 minutes

1 minute = 20 facts

2 minutes = 40 facts

3 minutes = 60 facts

We can check our work by doing the unit rate:

60 facts ÷  3

____________     <--- fraction bar

3 minutes ÷  3

= 20 facts

__________ (20 facts per minute)

 1 minute

mezya [45]3 years ago
5 0

Answer:

150s or 2 min and 30 s

Step-by-step explanation:

20 facts = 1 min

10 facts = 30s

50 facts = ? min

50 / 10 = 5

30 * 5 = 150s

150s = 2 min and 30 s

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Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3
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Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

\frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }

=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

=  \frac{ {( \sqrt{5} +  \sqrt{3} ) }^{2} }{( \sqrt{5} -  \sqrt{3} )( \sqrt{5}  +  \sqrt{3})  }

=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

=  \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}

=  \frac{8 + 2 \sqrt{15} }{2}

= 4 +  \sqrt{15}

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