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enot [183]
3 years ago
9

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

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
First, try 99^3 = 970299; therefore, it is not the least possible value. 

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99: 

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube. 


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Answer:

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First Equation:

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<em>25 - 2x = 0</em>

x = 12.5

Second Equation:

Let 2x² - 11x - 6 equal to zero

<em>2x² - 11x - 6 = 0 </em>

<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>

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(2x + 1) = 0                 or             (x-6) = 0

x = -1/2                      or             x = 6

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4 years ago
The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The
Lelu [443]
The quadratic model is f(x) = -5x^2 + 200.
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Read 2 more answers
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kodGreya [7K]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Abes apple orchard plans both green apple trees. This planting will include 21 red apple trees and 18 green apple trees. What is
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Answer:

The ratio of green apples to red apples is \frac{6}{7}.

Step-by-step explanation:

Given,

Number of red apples = 21

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Solution,

For finding the ratio we have to divide the number of green apples to the number of red apples.

So, we can frame the above sentence as;

Ratio=\frac{\textrm{number of green apples}}{\textrm{number of red apples}}

Now substituting the values, we get;

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Hence The ratio of green apples to red apples is \frac{6}{7}.

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3 years ago
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I am Lyosha [343]

Answer:

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3 years ago
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