13 Luke is painting the ceiling. He needs to lay down drop cloths so he does not get paint
on the floor. Each drop cloth is 8 feet by 6 feet. The room is 14 feet by 16 feet. How
many drop cloths will he need to cover the floor?
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5 Drop Cloths

1 - Find the areas of both the room and the drop cloth

Drop Cloth:

A = L x W

A = 8 x 16

A = 48

Room:

A = L x W

A = 14 x 16

A = 224

2 - Divide the area of the room by the area of 1 drop cloth

This is to see how many times the area of the drop cloth will go into the area of the room

Room Area/Drop Cloth Area =

224/48 = 4.66666666... = 5 drop cloths

Hope this helps :)

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

a negative exponent is translated as follows:

so, we have