The quotient of -1 4/5 and 3 1/4 = (<span>-1 4/5) / ( 3 1/4)
= [ - (5 * 1 + 4) / 5 ] / [ (3 * 4 + 1) / 4 ]
= [ -9 / 5 ] / [ 13 / 4 ]
= [ -9 / 5 ] * [ 4 / 13 ]
= [ -9 * 4 ] / [ 5 * 13 ]
= -36/65
another way is to do it separately first: </span>-1 4/5 and 3 1/4
-1 4/5 = -(1 + 4/5)
= -(5/5 + 4/5)
= -9/5
3 1/4 = 3 + 1/4
= 3*4/4 + 1/4
= 12/4 + 1/4
= 13/4
so (-1 4/5) / ( 3 1/4)
= (-9/5) / (13/4)
= (-9/5) * (4/13)
= (-9*4) / (5*13)
= -36/65
5 feet = 60 inches
4 1/2 inches = 1 hour
60 inches = 1 ÷ 4 1/2 x 60
= 13 1/3 hours
If the snow keeps accumulating, it would take 13 1/3 hours for 5 feet of snow to accumulate.
∠FEG is an exterior angle.
An exterior angle of a triangle is equal to the sum of the opposite interior angles, so
2x + x = x + 40
3x = x + 40
3x - x = 40
2x = 40
x = 20
m∠FEG = x+40 = 20+40 = 60°
Answer:
(2x+1) (x+4)
Explanation:
The idea is to break down the middle term into two monomials which can be used in the factorization process. Note that
2.4=8=8.1
, and that we may write 9=8+1
, which may help us in the process.
Let us write:
2x^2+9x+4
=2x^2+8x+x+4
=2x(x+4)+(+4)
=(2x+1)(x+4)
2........................................................<span>.</span>
