Question

Expand 7/10 (5d + 6).

A. 35d + 42

B. 5d + 21/5

C. 35d + 6

D. 7/2d + 21/5

Answer 1

To expand 7/10 (5d + 6), we distribute the 7/10 to both terms inside the parentheses:

(7/10)(5d) + (7/10)(6)

Simplifying that gives us:

(35/10)d + 42/10

We can simplify the fractions by dividing both the numerator and denominator by their greatest common factor of 5:

(7/2)d + 21/5

Therefore, the expanded form of 7/10 (5d + 6) is D. 7/2d + 21/5.

Answer 2

Expand -5/8 (3p + 8).

A. -15p + (-40)

B. -15/8 + 3p

C. -15/8 p - 5

D. 3p + 8

Answer 3

To expand -5/8 (3p + 8), we distribute the -5/8 to both terms inside the parentheses:

(-5/8)(3p) + (-5/8)(8)

Simplifying that gives us:

(-15/8)p + (-40/8)

We can simplify the fractions by dividing both the numerator and denominator by their greatest common factor of 8:

-15p/8 - 5

Therefore, the expanded form of -5/8 (3p + 8) is C. -15/8 p - 5.