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Sveta_85 [38]
3 years ago
8

Please help! it’s urgent

Mathematics
1 answer:
ycow [4]3 years ago
8 0

Step-by-step explanation:

{9}^{ \frac{3}{2} }  \times  {27}^{ \frac{1}{2} }  =  {(3)}^{ \frac{3}{2} \times 2 }  \times  {(3)}^{ \frac{1}{2}  \times  3}  \\  =  {3}^{3}  \times  {3}^{ \frac{3}{2}  }  \\  =  {3}^{3 +  \frac{3}{2} }  \\  =  {3}^{4\frac{1}{2} }  \\  =  {3}^{ \frac{9}{2} }

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3 years ago
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3. Three years ago, Jane was three times as old as Alice. In two years time, the sum of their ages will be 62. Determine their p
anzhelika [568]
3 yrs ago:

Alice - x 
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Fast forward 2 years... 1 year ago: 

Sum of their ages = 62


Equation to solve: x + 3x = 62 
                                4x = 62 
                               -----  -----
                                 4      4
 
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From this, we can deterime that Alice is 15 1/2 years old. 

Then, plug in 15.5 for x in 3x to find Jane's age. 

15.5 × 3 = 46.5

From this, we can determine that Jane is 46 1/2 years old. 


I hope this helps you to understand this problem better.


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