Can someone help me? I'm confused.
4.3(1-2k)=-5k
A.-1
B.1
C.2
D.3
4.3(1-2k)=-5k
4.3 - 8.6k = -5k
4.3 = 3.6k
1.19 = k
Are you trying to solve for k?
4.3(1-2k)=-5k
4.3-4.3(2)k=-5k
4.3-8.6k=-5k
4.3=3.6k
k=1.19444
Thank you, Ms. Sue! I posted another question. Can you see if I got it right?
Thank you, Anonymous! Both of you did a great job at explaining it to me.
but I bet it was question number 4
3(1-2k) = -5 k
3 - 6 k = -5 k
3 = k
so D
Of course, I can help you. To solve the equation 4.3(1-2k)=-5k, we'll follow these steps:
1. Start by distributing the 4.3 across the terms inside the parentheses:
4.3 * 1 - 4.3 * 2k = -5k
4.3 - 8.6k = -5k
2. Combine the like terms on the left side of the equation:
-8.6k = -5k - 4.3
3. Move all the terms involving k to one side of the equation by adding 8.6k to both sides:
-8.6k + 8.6k = -5k - 4.3 + 8.6k
0 = 3.6k - 4.3
4. Next, add 4.3 to both sides to isolate the term with k:
0 + 4.3 = 3.6k - 4.3 + 4.3
4.3 = 3.6k
5. Finally, divide both sides by 3.6 to solve for k:
4.3 / 3.6 = (3.6k) / 3.6
k ≈ 1.194
Now that we have found the value of k, we can check which option among A, B, C, and D satisfies the equation. Plugging k = 1.194 into the original equation:
4.3(1 - 2(1.194)) = -5(1.194)
Evaluating the left side of the equation:
4.3(1 - 2.388) ≈ -5(1.194)
4.3(-1.388) ≈ -5(1.194)
-6 ≈ -5(1.194)
Since the left side and right side of the equation are approximately equal, option B, 1, is the correct answer.