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2 years ago

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Ms. Soffer paid $42. 75 for 9 boxes of gummies for the state test last year. This year she will need to order 13 boxes of gummie

s for the state test. If the price per box does not change, what would be the total cost of this year’s order?

1 answer:

PolarNik [594]2 years ago

4 0

Answer:

$61.75

Step-by-step explanation:

I divided the $42.75 by 9 to get 4.75. Then i multiplied the 4.75 by 13 to get $61.75.

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We can actually see that the statements that are true are:

A. x = 1 is a solution.

C. x = –1 is a solution.

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Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.

We can see then that:

$\frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{x + 10}{ {x}^{3} + 6 {x}^{2} }$

It's clear that: x ≠ 0 and x ≠ -6.

Looking for the LCM of the left hand side, we will have:

$\frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{4 {x}^{2 } + (x + 6)}{(x + 6) {x}^{2} }$

So, we will see that left hand side and right hand side are equal.

$4 {x}^{2} + x + 6 = x + 10$

$4 {x}^{2} = 10 - 6$

$4 {x}^{2} = 4$

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$x = 1$

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So, we can see that options A and C are correct.

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