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Mamont248 [21]
3 years ago
7

Simplify expression with rational exponents.

Mathematics
1 answer:
musickatia [10]3 years ago
5 0
27^(4/3)+4^(3/2) can be simplified using roots.  

The cube root of 27 is 3 and the square root of 4 is 2.  This removes the denominators from the expression.  The expression is now 3^4+2^3.

Simplify this and you get 81+8=89
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Find the values of x and y for which the lines are parallel.
bearhunter [10]
The answer:  " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .

46 + 1(x - 3) + 1(y-3) = 180 .

46 + 1x - 3 + 1y - 3 = 180 .

46 - 3 - 3 + 1x + 1y = 180 .

40 + x + y = 180 ;

Subtract "40" from EACH SIDE of the equation:
______________________________________
 40 + x + y - 40 = 180 - 40 ;

 to get:

x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;


↔  x - 3 = 65 ;

Add "3" to EACH SIDE of the equation;

    x - 3 + 3 = 65 + 3 ;

to get:
 
           x = 68 .
______________________________
Now:

Since:  "x + y = 140" ;

Let us plug in our known value, "68" ;  for "x" ;

to solve for "y" ;
__________________________________
   x + y = 140 ;
 
  68 + y = 140 ;

↔ y + 68 = 140 ;

Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
   y + 68 - 68 = 140 = 68 ;

                  y = 72 .
______________________________________________
So,  solve for "x" and "y".

x = 68, y = 72 .
_______________________________________________
5 0
3 years ago
1/4 to 1/2 find the percent of change-increase or decrease
Vika [28.1K]
The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded) 

what I did was turn 1/4 and 1/2 into decimals to make it easier to solve 

8 0
3 years ago
Read 2 more answers
Simplify the expression (128x^5/8x)^1/2
solong [7]

Answer: 4x'6

Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step  1  :   x5   ——) • x)1) ÷ 4   8  

Step  2  :  2.1     16 = 24  (16)1 = (24)1 = 24  2.2    x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step  3  :     24x6  Simplify   ————    4  

Dividing exponents :   3.1    24   divided by   22   = 2(4 - 2) = 22

which brings us to our final answer above

5 0
3 years ago
Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers
Nikitich [7]

Answer:

The answer is B, 17.83 km.

Step-by-step explanation:

To solve this, we need to first find out how many kilometers he rode for both Monday and Wednesday. To do this, add 13.94 and 18.23 together. The answer is 32.17 kilometers. Since we know he has to ride 50 kilometers for the week, we can subtract 32.17 from 50 to find the answer. Note that I didn't attempt to convert 32.17 to kilometers since that was the unit of measure it was already in. Now, after you have done 50-32.17, you will get 17.83. Put this in kilometers. This gives us our answer, which is 17.83 km. Mark needs to ride for 17.83 more kilometers to complete his training for the week.

7 0
2 years ago
25pts for correct answer with explanation Find the value of x when 2(x - 3) + 1 = 3x + 4
trapecia [35]
The answer is A) -1.
3 0
3 years ago
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