Expand 7/10(5d+6) .(1 point)
Responses
5d + 21/5
5 d + 21 fifths
72d + 21/5
72d + 215
35d + 42
35d + 42
35d + 6
35d + 6
The Distributive Property & Algebraic Expressions Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 5 5 of 5 Items
Question
Expand −5/8(3p+8) .(1 point)
Responses
3p + 8
3p + 8
−15p + (−40)
−15p + (−40)
−15/8 p−5
−158 p−5
−15/8 + 3p
−15/8 p−5
To expand the expression 7/10(5d + 6), we can follow the order of operations, also known as PEMDAS.
Step 1: Distribute the 7/10 to both terms inside the parentheses.
7/10 * 5d = 35/10d = 7/2d
7/10 * 6 = 7/10 * 6/1 = 42/10 = 21/5
Step 2: So, now we have 7/2d + 21/5
To add or subtract fractions, we need to have a common denominator. In this case, the common denominator between 2 and 5 is 10.
Step 3: Convert the fractions to have a common denominator of 10.
7/2d = (7 * 5) / (2 * 5) d = 35/10d
21/5 = (21 * 2) / (5 * 2) = 42/10
Step 4: Now, we can combine the fractions.
35/10d + 42/10 = (35 + 42) / 10 = 77/10
The expanded form of 7/10(5d + 6) is 77/10 or 7.7.