John can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot working together?

1.125 h = 1h 7.5 min = 1 h 7 min 30 sec

Step-by-step explanation:

John makes 1/1.5 work per h.

His partner makes 1/4.5 work per h.

Together they make (1/1.5 + 1/4.5) = (3/4.5 + 1/4.5) = 4/4.5 work per h.

They will work

1 : 4/4.5 = 4.5/4 = 1.125 h = 1 h + 0.125 h = 1h + 0.125h*60min/1h =

=1h 7.5 min = 1 h 7 min 30 sec

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)