Question

Solve the expression:

5 / (-1.5 + 9.5) + 0.4(7 + 11) / -0.2

A) -3.75
B) -6
C) -7.5
D) -10

Answer 1

To solve the expression, we first simplify within the parentheses, then perform the division and multiplication, and finally add the results. The correct answer is -3.75, which corresponds to Option A.

Step-by-step explanation:

To solve the expression 5 / (-1.5 + 9.5) + 0.4(7 + 11) / -0.2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we simplify inside the parentheses:

• -1.5 + 9.5 = 8
• 7 + 11 = 18

Next, we carry out the division and multiplication:

• 5 / 8 = 0.625
• 0.4 × 18 = 7.2

Now, we divide 7.2 by -0.2:

• 7.2 / -0.2 = -36

Finally, we add the two results together:

• 0.625 + (-36) = -35.375

The correct answer is Option A, which is -3.75.