3 years ago

Question 4 of 5

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

Step-by-step explanation:

$2 per item gives you 2m, and the 3 comes from the shipping fee.

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what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

3 0

4 years ago

6+ (-x) + 2x + (-7) + 2x

sashaice [31]

Answer:

3x-1

Step-by-step explanation:

6 +(-x) +2x + (-7) + 2x=

6-x +2x -7 + 2x =

6-7+ 2x+2x-x=

-1 + 3x=

3x-1