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fiasKO [112]
3 years ago
7

A population was reduced from 3000 to 2500 in the ratio 5:y what is y

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

<h2><em>y</em><em>=</em><em>6</em></h2>

<em>sol</em><em>ution</em><em>,</em>

<em>The</em><em> </em><em>popula</em><em>tion</em><em> </em><em>is</em><em> </em><em>reduced</em><em> </em><em>from</em><em> </em><em>3</em><em>0</em><em>0</em><em>0</em><em> </em><em>to</em><em> </em><em>2</em><em>5</em><em>0</em><em>9</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>ratio</em><em> </em><em>5</em><em>:</em><em>y</em>

<em>\frac{2500}{3000}  =  \frac{5}{y}  \\ or \: 2500y = 15000 \\ or \: y =  \frac{15000}{2500}  \\ y = 6</em>

<em>Hence</em><em>,</em><em>the</em><em> </em><em>ratio</em><em> </em><em>is</em><em> </em><em>5</em><em>:</em><em>6</em><em>.</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

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Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

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Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

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Then the values of x and y are ...

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For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

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For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

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For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

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