Question

Apply the Distributive Property first to solve the equation below. What operation will you need to use​ last? If​ instead, you divide first to solve the equation what operation would you need to use​ last? 24(d/4 -5)=156

Answer 1

Step-by-step explanation:

The distributive property is as follows :

$a(b+c)=ab+ac$ ....(1)

We need to solve $24(\dfrac{d}{4}-5)=156$ using distributive property

Applying property (1) on the LHS of given equation

Taking a = 24, b = d/4 and c = -5

So,

$24(\dfrac{d}{4}+(-5))=156\\\\24\times \dfrac{d}{4}+24\times (-5)=156\\\\6d-120=156\\\\6d=156+120\\\\6d=276\\\\d=\dfrac{276}{6}\\\\d=46$

So, we get the value of d as 6 using distributive property.