Expand 7/10(5d+6).(1 point)

15 answers

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.
Expand 1/3(q−6) using the Distributive Property.(1 point)
To expand 1/3(q−6) using the distributive property, we distribute the 1/3 to each term inside the parentheses:

= 1/3 * q - 1/3 * 6

= q/3 - 6/3

= q/3 - 2

Therefore, the expanded form is q/3 - 2.
Expand 2/5(−5c+10).(1 point)
Responses
To expand 2/5(-5c+10) using the distributive property, we distribute the 2/5 to each term inside the parentheses:

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

= -10/5c + 20/5

= -2c + 4

Therefore, the expanded form is -2c + 4.
Expand −7/6(3g+2).(1 point)
Responses
To expand −7/6(3g+2) using the distributive property, we distribute the −7/6 to each term inside the parentheses:

= −7/6 * 3g − 7/6 * 2

= −21/6g − 14/6

= -7/2g - 7/3

Therefore, the expanded form is -7/2g - 7/3.