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Lynna [10]
1 year ago
10

Need help -1/2 + (3/4X4/9)=

Mathematics
2 answers:
sasho [114]1 year ago
8 0

Answer:

-\frac{1}{6}

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

-\frac{1}{2} +(\frac{3}{4} \times\frac{4}{9} )

P goes first

\frac{3}{4} \times\frac{4}{9}

Solve:

3\times4=12

4\times9=36

=\frac{12}{36}

Reduce:

12\div6=2

36\div6=6

2\div2=1

6\div2=3

=\frac{1}{3}

-\frac{1}{2} +\frac{1}{3}=\frac{-1\times3}{2\times3} +\frac{1\times2}{3\times2} =-\frac{1}{6}

=-\frac{1}{6}

Hope this helps.

Agata [3.3K]1 year ago
4 0

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

HAVE A GOOD DAY!

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b) x = 0,97 miles

c) t (min)  = 1,24 hours

Step-by-step explanation: See Annex

Figure in annex shows a clear description of the situation

Let  x be distance in miles between point P and where boat lands

A woman has to row  a distance L

L = √ (4)² + (x)²

and the part to get to the town (which she has to walk)

d = ( 7 -  x)

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Therefore

t(x)  = [ √ (4)² + (x)²]/ 4   +   ( 7  -  x  ) / 5

t(x)  = [ √ (4)² + (x)²]/ 4    +   7/5  - x/5

Taking derivatives both sides of the equation

t¨(x)   = ( 2x)*4 / 16√ (4)² + (x)²]   -  5/25  

t¨(x)   = x/  2√ (4)² + (x)²]  - 1/5

t¨(x)   = 0      x/  2√ (4)² + (x)²]  - 1/5   =  0

[ 5 x  -  2√ (4)² + (x)²]  =  0       ⇒   5x    =  2√ (4)² + (x)²]   or

   25 x² =  4  (  4 +   x²)

   25 x² = 16  +   8x²

  17x²   =   16

  x²  =   16/17      

   x²   =  0,941

  x = 0,97 miles  

And the distance walking to get to town

d =  7  -  x       d =   7  -  0,97

d  = 6,03 miles

The least travel time  is   t(x)  = [ √ (4)² + (x)²]/ 4    +   7/5  - x/5  

t (min)  =  √ 16 +  0,94) /4   +  1,4  - 0,97/5

t (min)  = 1,03  +  1,4  - 0,194

t (min)  = 1,24 hours

7 0
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