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enot [183]
3 years ago
5

This past winter, 643 flamingos migrated to Gordon Lake. A researcher states that the number of flamingos migrating to the lake

is decreasing by 12 birds every year. Which of the following represents the number of flamingos, n, that will migrate to the lake t winters from last winter if the researcher’s trend continues? A. t = 643 - 12n B. n = 643 - 12t C. t = 12 - 643n D. n = 12 - 643t
Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

n=643-12t

i had this question on an exam and got it right

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Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

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<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

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Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

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Step 2: Subtract 3x from both sides.

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Step 3: Subtract 18 from both sides.

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Step 4: Divide both sides by -5.

\frac{-5x}{-5} =\frac{30}{-5} \\x=-6

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