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2 years ago

Tony saw 6 birds in a tree. 1/6 of them flew away. How many were left?

Mathematics

2 answers:

Andreyy892 years ago

7 0

Answer:

5 birds flew away

Step-by-step explanation:

1/6x6=1

( 1 bird flew away)

so, 6-1=5

vlada-n [284]2 years ago

7 0

Answer:

$\huge\boxed{\bf\:5\:\:birds}$

Step-by-step explanation:

Number of birds Tony saw = 6
Fraction that flew away = ⅙

Number of birds that flew away = ?

Number of birds that flew away = Number of birds × Fraction that left
Number of birds that flew away = 6 × ⅙
Number of birds that flew away = 1

Number of birds remaining = ?

Number of birds remaining = Total number of birds - Number of birds that flew away
Number of birds remaining = 6 - 1
Number of birds remaining = 5

$\rule{150pt}{2pt}$

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3 years ago

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patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

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Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
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2 years ago

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lora16 [44]

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We can begin by rearranging this into multiplication:

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