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tangare [24]
3 years ago
14

Use the Commutative property to write an equivalent expression 15a +7b=

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Simplifying

15a + 7b = 0

Solving

15a + 7b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7b' to each side of the equation.

15a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0

15a + 0 = 0 + -7b

15a = 0 + -7b

Remove the zero:

15a = -7b

Divide each side by '15'.

a = -0.4666666667b

Simplifying

a = -0.4666666667b

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How to Simplify Rational Expressions?
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to construct a parallel to a line through a point not on the line using paper folding, you can perform the _____ construction tw
adoni [48]
<span>The <u>correct answer</u> is:

The midpoint of a segment.

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Read 2 more answers
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

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3 years ago
True or false
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