Expand 7/10(5d+6).(1 point)
To expand 7/10(5d+6), we can distribute the 7/10 to each term inside the parentheses:
= 7/10 * 5d + 7/10 * 6
= (7/10) * 5d + (7/10) * 6
= (35/10)d + 42/10
= 3.5d + 4.2 [after simplifying the fractions]
Expand 7/10(5d+6).(1 point)72d + 215
72d + 215
5d
+ 215
5 d + 21 fifths
35d + 6
35d + 6
35d + 42
35d + 42
I apologize for the previous incorrect response. Let's correctly expand 7/10(5d+6):
= 7/10 * 5d + 7/10 * 6
= (7/10)(5d) + (7/10)(6)
= 35/10d + 42/10
= 3.5d + 4.2
Expand −5/8(3p+8).(1 point)
Responses
−158 + 3p
−158 + 3p
−15p + (−40)
−15p + (−40)
−158 p−5
−158 p−5
3p + 8
To expand -5/8(3p+8), we distribute -5/8 to each term inside the parentheses:
= -5/8 * 3p - 5/8 * 8
= (-5/8) * 3p + (-5/8) * 8
= -15/8p - 40/8
= -15/8p - 5
Therefore, the expanded form is -15/8p - 5.
Expand 5(y + 2) using the distributive property.(1 point)
To expand 5(y + 2) using the distributive property, we distribute the 5 to each term inside the parentheses:
= 5 * y + 5 * 2
= 5y + 10
Therefore, the expanded form is 5y + 10.
Expand −5(−3 − 11g).(1 point)
To expand −5(−3 − 11g) using the distributive property, we distribute the −5 to each term inside the parentheses:
= −5 * −3 − 5 * (−11g)
= 15 + 55g
Therefore, the expanded form is 15 + 55g.