First one to answer gets ! which equation correctly applies the associative property of multiplication?

a. -6/5-(5/4-1/4)=(-6/5-5/3)-1/4

b. (-1/2x4/7)+(-1/2x2/3)= -1/2x(4/7+2/3)

c. 8/9x7/4x(-5/8)=8/9x(-5/8)x7/4

d. (-9/4x3/2)x(6/3x5/7)= -9/4x(3/2x6/3)x5/7

answer:

a. -6/5-(5/4-1/4)=(-6/5-5/3)-1/4

theorem

( a x b ) x c = a x ( b x c )

example:

let us consider the values of a = 4, b = 5 and c = 2

( 4 x 5 ) x 2 = 4 x ( 5 x 2 )

( 4 x 5 ) = 20

20 x 2 = 40  

( 5 x 2 ) = 10

4 x 10 = 40

lhs = rhs  

40 = 40

here is an associative property of multiplication is proved.

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168