A number 𝑘𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.
Question
A number 𝑘𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.
Solution
Sure, let's solve this step by step:
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Let's denote the unknown number as k. According to the problem, this number is tripled and then 44 is added. We can express this as an equation: 3k + 44.
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The problem then states that this result is halved to obtain -13. We can express this as another equation: (3k + 44) / 2 = -13.
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Now we have a simple equation that we can solve for k. First, let's get rid of the fraction by multiplying both sides of the equation by 2: 3k + 44 = -26.
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Next, let's isolate k by subtracting 44 from both sides of the equation: 3k = -70.
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Finally, let's solve for k by dividing both sides of the equation by 3: k = -70 / 3 = -23.33 (rounded to two decimal places).
So, the number k that satisfies the conditions of the problem is approximately -23.33.
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