Paloma can run the 100 meter dash in 16 1/5 seconds. savanahs best time is 19.8 seconds. how much faster is paloma than savanah in the 100 meter dash?

Find the two unit rates and then subtract the smaller from the larger, to answer this "how much faster ... " question:

100 m / (16 1/5 sec), or

100 m / (81 sec / 5), or  6.17 m/sec

Compare this to:

100 m / 19.8 sec = 5.05 m/sec

The difference in the two speeds is (6.17-5.05) m/sec, or 1.12 m/sec (answer)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)