Final answer:
To determine if 3.5[4d - (2)(1.5)] and 2[7d - (5)(1.05)] are equivalent, we can simplify both expressions and see if they are equal.
Step-by-step explanation:
Junita says that 3.5[4d - (2)(1.5)] and 2[7d - (5)(1.05)] are equivalent. To determine if Junita is correct, we can simplify both expressions and see if they are equal.
Starting with 3.5[4d - (2)(1.5)], we distribute the 3.5 to both terms inside the brackets:
3.5 * 4d = 14d
3.5 * (2)(1.5) = 10.5
The expression becomes 14d - 10.5.
Next, let's simplify 2[7d - (5)(1.05)]:
2 * 7d = 14d
2 * (5)(1.05) = 10.5
The expression becomes 14d - 10.5.
So, both expressions simplify to 14d - 10.5. Therefore, Junita is correct. 3.5[4d - (2)(1.5)] and 2[7d - (5)(1.05)] are equivalent.