MATH SOLVE

4 months ago

Q:
# Can anyone please help me!? Help!Subject: Expanding and Simplifying Expressions7th-grade Mathematics!-------------------------------------------------------------------------------------Question #1: Write an expression that is equivalent to 2/3 (4x + 9).A) 8/3x + 6B) 8/3x + 9C) 2/3x + 6D) 2/3x + 9-------------------------------------------------------------------------------------Question #2: Which expression is equivalent to 1/3p + 15?A) 1/3(p + 45)B) 1/3(p + 5)C) 3(p + 45)D) 3(p + 5)

Accepted Solution

A:

Answer:[tex]\large\boxed{Q\#1.\ A)\ \dfrac{8}{3}x+6}\\\boxed{Q\#2.\ A)\ \dfrac{1}{3}(p+45)}[/tex]Step-by-step explanation:[tex]Q\#1:\\\\\dfrac{2}{3}(4x+9)\qquad\text{use the distributive property}\\\\=\left(\dfrac{2}{3}\right)(4x)+\left(\dfrac{2}{3}\right)(9)=\dfrac{8}{3}x+(2)(3)=\dfrac{8}{3}x+6\\\\Q\#2:\\\\\dfrac{1}{3}p+15=\dfrac{1}{3}p+\dfrac{1}{3}\cdot(3)(15)=\dfrac{1}{3}p+\dfrac{1}{3}\cdot45=\dfrac{1}{3}(p+45)[/tex]