I have a lot of homework each night and I don't get it at all one question was 0.5(12z-7)-3.5z+3.5
and I got it wrong just because I didn't do it and I didn't understand it.I got 7z as my anwser.What did I do wrong?Help PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Is this an equation?
What are you to do?
If you are to evaluate it, first clear the parentheses.
0.5(12z-7)-3.5z+3.5
6z-3.5-3.5z+3.5
The two z terms add to 2.5z
The two numbers evaluate to zero.
If you had shown your work we could tell you where you went wrong.
0.5(12z-7)-3.5z+3.5
6z - 3.5 - 3.5z + 3.5
6z - 3.5z = 2.5z
To solve the given equation, let's go step by step:
1. Start by using the distributive property to multiply 0.5 by (12z - 7):
0.5 * 12z = 6z
0.5 * -7 = -3.5
Therefore, the first part of the equation becomes: 6z - 3.5
2. Next, simplify the expression -3.5z:
-3.5z
3. Finally, combine all the simplified expressions:
(6z - 3.5) - 3.5z + 3.5
Now, let's determine your mistake. You mentioned that you got 7z as your answer, so let's check your work.
- You might have mistakenly simplified 0.5 * 12z as 7z instead of 6z. Remember that multiplying 0.5 by 12z gives you 6z, not 7z.
To solve the equation correctly, let's continue:
(6z - 3.5) - 3.5z + 3.5
Combining like terms, we have:
6z - 3.5z - 3.5 + 3.5
Simplifying further:
(6z - 3.5z) - 3.5 + 3.5
2.5z - 3.5 + 3.5
2.5z
Therefore, the correct answer is 2.5z.
Remember to check your calculations carefully, especially when dealing with multiplication and distribution. Double-checking your work can help you catch any potential mistakes.