-14 + 4/5(15e - 10) - 10e
Options:
2e + 23
2e - 23
-2e - 23
-2e + 23
Let's simplify the expression step-by-step:
-14 + 4/5(15e - 10) - 10e
First, apply the distributive property to the term 4/5(15e - 10):
-14 + 4/5 * 15e - 4/5 * 10 - 10e
Simplify the expression within the parentheses:
-14 + 12e - 8 - 10e
Combine like terms:
(12e - 10e) + (-14 - 8)
2e - 22
So the simplified expression is 2e - 22.
None of the options match the simplified expression.
Try again
Apologies for the mistake. Let's simplify the expression again:
-14 + 4/5(15e - 10) - 10e
First, apply the distributive property to the term 4/5(15e - 10):
-14 + (4/5 * 15e) - (4/5 * 10) - 10e
Simplify the expression within the parentheses:
-14 + (12e) - (8) - 10e
Combine like terms:
12e - 10e - 14 - 8
(12e - 10e) - (14 + 8)
2e - 22
Therefore, the simplified expression is 2e - 22.
To simplify the expression -14 + 4/5(15e - 10) - 10e, we need to follow the order of operations (also known as PEMDAS or BIDMAS).
Step 1: Simplify within parentheses.
15e - 10 simplifies to 15e - 10.
Step 2: Multiply.
Next, we multiply 4/5 by 15e - 10.
4/5 * (15e - 10) = (4/5) * 15e - (4/5) * 10.
Step 3: Simplify the multiplication.
(4/5) * 15e = (4 * 15e) / 5 = 60e/5 = 12e
(4/5) * 10 = (4 * 10) / 5 = 40/5 = 8
So the expression becomes -14 + 12e - 8 - 10e.
Step 4: Combine like terms.
Combine the terms with "e" and the constant terms separately.
12e - 10e = 2e
-14 - 8 = -22
The expression simplifies to -22 + 2e.
Therefore, the correct option is -2e - 23.