Bosco

   x=5 x (8/99) x 63. What is X? (If it is a mixed number, convert it to a mixed number)     

   5 • 8/99 • 63  =  2520 / 99     

                         =  25 ⁴⁵/₉₉     

                         =  25 ⁵/₁₁     

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Two rectangular boxes have the same volume. One box is a cube, and the other box had dimensions 8 ft by 4 ft by 12 ft. How many feet long is an edge of the cube?     

  Volume_generally  =  L x W x D     

                        V  =  8 ft x 4 ft x 12 ft     

                        V  =  384 ft³     

  Volume_cube  =  (any side)³     

          384 ft³  =  s³     

                   s  =  cuberoot(384) ft    

                   s  ≈  7.2685 ft     

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a number multiplied by 3 more than another number is 65, but the second number multiplied by 3 more than the first number is 80. What is the difference in the numbers?     

(x) • (y + 3)  =  65       —>       xy + 3x  =  65     (eq 1)     

(y) • (x + 3)  =  80       —>       xy + 3y  =  80     (eq 2)     

subtract (eq 1) from (eq 2)      3y – 3x  =  15     

                                                  y –   x  =    5     

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how do i factor this 9x2-25=0     

Recognize that it's the difference of squares.     

9x² – 25  can be written as  (3x)² – (5)²  which factors as  (3x + 5)(3x – 5)     

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