Simplify −5+3/4(8h+12)−10h .
To simplify the expression, we will distribute the 3/4 to the terms inside the parentheses:
-5 + 3/4(8h + 12) - 10h
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (24/4)h + 9 - 10h
= -5 - 10h + (24/4)h + 9
= (-10h + (24/4)h) - 5 + 9
= -10h + (6h) - 5 + 9
= -4h + 4 - 5 + 9
= -4h + 8
So, the simplified expression is -4h + 8.
wrong
You're right, I made a mistake. Let's correct it:
To simplify the expression, we will distribute the 3/4 to the terms inside the parentheses:
-5 + 3/4(8h + 12) - 10h
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (24/4)h + 36/4 - 10h
= -5 + 6h + 9 - 10h
= 6h - 10h - 5 + 9
= -4h - 4 + 9
= -4h + 5
So, the simplified expression is -4h + 5.
also wrong
My apologies for the error. Let's try simplifying the expression again:
-5 + 3/4(8h + 12) - 10h
= -5 + (3/4)(8h) + (3/4)(12) - 10h
= -5 + (3/4)(8h) + 9 - 10h
= -5 + 6h + 9 - 10h
= (6h - 10h) + (-5 + 9)
= -4h + 4
So, the simplified expression is -4h + 4.
To simplify the expression −5+3/4(8h+12)−10h, we follow the order of operations (PEMDAS).
First, we simplify the expression within the parentheses:
8h + 12
Next, we multiply the result by 3/4:
3/4 * (8h + 12) = (3/4)*(8h) + (3/4)*(12) = 6h + 9
Now, the expression becomes:
−5 + 6h + 9 - 10h
Combining like terms, we have:
(6h - 10h) + (-5 + 9) = -4h + 4
So, the simplified expression is -4h + 4.
To simplify the expression −5+3/4(8h+12)−10h, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's simplify the expression step by step:
Step 1: Simplify within the parentheses
Inside the parentheses, we have 8h + 12. Distribute the 3/4 to both terms inside the parentheses:
(3/4)(8h) + (3/4)(12) = (6h) + (9)
The expression now becomes: −5 + (6h + 9) − 10h.
Step 2: Simplify multiplication and division
Multiplication and division are done from left to right. Multiply 3/4 by 8h and 3/4 by 12:
(6h) + (9) = 6h + 9
So, the expression simplifies to: −5 + 6h + 9 − 10h.
Step 3: Simplify addition and subtraction
Now, we can combine like terms. Combine the terms with 'h' together and combine the constant terms together:
−5 + 6h + 9 − 10h = (6h - 10h) + (-5 + 9)
Simplifying the 'h' terms gives us: -4h
Simplifying the constant terms gives us: 4
So, the simplified expression is: -4h + 4