Home / Assignment Help / Tristan swam around a lake 8 times. The distance around the lake was 0.25 miles. He swam at an average of 60 minutes per mile. Which explanation correctly tells how to calculate the time it will take Tristan to complete his swim? A. Step 1: Figure out the total number of miles Tristan swam (8 × 0.25). Step 2: Divide that distance into his average speed (60 ÷ 2). B. Step 1: Figure out the total number of miles Tristan swam (8 ÷ 0.25). Step 2: Multiply that distance by his average speed (32 × 60). C. Step 1: Figure out the total number of miles Tristan swam (8 ÷ 0.25). Step 2: Divide that distance by his average speed (32 ÷ 60). D. Step 1: Figure out the total number of miles Tristan swam (8 × 0.25). Step 2: Multiply that distance by his average speed (2 × 60).

Tristan swam around a lake 8 times. The distance around the lake was 0.25 miles. He swam at an average of 60 minutes per mile. Which explanation correctly tells how to calculate the time it will take Tristan to complete his swim? A. Step 1: Figure out the total number of miles Tristan swam (8 × 0.25). Step 2: Divide that distance into his average speed (60 ÷ 2). B. Step 1: Figure out the total number of miles Tristan swam (8 ÷ 0.25). Step 2: Multiply that distance by his average speed (32 × 60). C. Step 1: Figure out the total number of miles Tristan swam (8 ÷ 0.25). Step 2: Divide that distance by his average speed (32 ÷ 60). D. Step 1: Figure out the total number of miles Tristan swam (8 × 0.25). Step 2: Multiply that distance by his average speed (2 × 60).

The answer is:  [A]:  No solution” .
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Note:  Given:
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  y = 4x + 8 ;
  y = 4x + 2 ;
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Since:  “y = y” ;

4x + 8 = 4x + 2 ; which is not true;
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 4x  +  8  ≠  4x  +  2 ;  since,  “8  ≠ 2” ;

Note:  Suppose:  “4x + 8 = 4x + 2” ; 

→ Subtract “4x” from each side of the equation:

4x + 8 − 4x  = 4x + 2 − 4x ;

to get:
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 ” 8 = 2 ” ;  not true ; since  “8 ≠ 2” ;
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Also, suppose:
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 4x + 8 = 4x + 2 ;

→ Subtract “2” from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note:  “4x + 0 = 4x” ;  but “4x + 6 ≠ 4x”) l

But even if we have:

4x + 6 = 4x ;

→ Subtract “4x” from EACH side of the equation:

4x + 6 − 4x  = 4x − 4x ;

to get:

   6 = 0 ; which is not true;  “6 ≠ 0” . 
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The correct answer is:  [A]:  “No solution” .
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