3 years ago

Which is bigger 1/10 or 5/12

Mathematics

1 answer:

mars1129 [50]3 years ago

4 0

5/12 is larger than 1/10, because 5/12 is closer to 1/2 than 1/10

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Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________

Sloan [31]

Answer:

values of x that makes the expression true are less than -2/23

Step-by-step explanation:

GIven the expression

23x + 7 ≤5

Subtract 7 from both sides

23x+7-7 ≤5 -7

23x < -2

x ≤ -2/23

Hence the values of x that makes the expression true are less than -2/23

4 0

3 years ago

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vlada-n [284]

Answer:

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Step-by-step explanation:

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3 years ago

If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last n

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!