Question

Expand 1/3(q−6) using the Distributive Property. answer correctly plz

Answer 1

expand 2/5 (-5c+10)

Answer 2

expand -7/6 (3g+2)

Answer 3

To expand 1/3(q−6) using the distributive property, we distribute the 1/3 to both terms inside the parentheses:

1/3(q−6) = (1/3)q + (1/3)(-6)

Simplifying further:

= q/3 - 6/3

= q/3 - 2

Therefore, 1/3(q−6) expands to q/3 - 2.

Answer 4

To expand 2/5 (-5c+10) using the distributive property, we distribute the 2/5 to both terms inside the parentheses:

2/5 (-5c+10) = (2/5)(-5c) + (2/5)(10)

Simplifying further:

= -10c/5 + 20/5

= -2c + 4

Therefore, 2/5 (-5c+10) expands to -2c + 4.

Answer 5

To expand -7/6 (3g+2) using the distributive property, we distribute the -7/6 to both terms inside the parentheses:

-7/6 (3g+2) = (-7/6)(3g) + (-7/6)(2)

Simplifying further:

= -21g/6 - 14/6

= -7g/2 - 7/3

Therefore, -7/6 (3g+2) expands to -7g/2 - 7/3.