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miss Akunina [59]

2 years ago

8

One half of a number represented by x is −1/4 . What is the value x? Drag and drop the appropriate answer into the box. x =

−4, −1/2, −1/4, 2. Need help asap

1 answer:

bonufazy [111]2 years ago

3 0

If half is -1/4 than the value of x is 2*(-1/4)=-1/2

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bearhunter [10]

Let $x$ be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is $x+4039,$ so our answer is $\boxed{4039}.$

For completeness, though, let's solve for the value of $x$ that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term $a_1,$ last term $a_n,$ and $n$ terms, is $\frac{n(a_1+a_n)}{2}.$ Plugging in our known values gives us the equation $\frac{4040(2x+4039)}{2}=2020,$ which simplifies to $2x+4039=1.$ Thus, $x=-2019,$ so the 4040 consecutive integers are $-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.$ Notice how everything except the $2020$ cancels out!

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3 years ago

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Step-by-step explanation:

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