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3 years ago

Use the properties and mental math to find the sum 8 1/5 + 3 2/5 + 5 4/5

Mathematics

2 answers:

Amanda [17]3 years ago

6 0

Answer:

The answer is 17 2/5

Step-by-step explanation:

To find this, first add all the fractions together.

1/5 + 2/5 + 4/5 = 1 2/5

Now add all the whole numbers together.

8 + 3 + 5 = 16

Now add the two together.

16 + 1 2/5 = 17 2/5

Serhud [2]3 years ago

5 0

$8\frac{1}{5} + 3\frac{2}{5} +5\frac{4}{5}$

$8 + 3 + 5 = 16 \\\frac{1}{5} + \frac{2}{5} +\frac{4}{5} = \frac{7}{5} = 1\frac{2}{5}$

16 + 1 = 17 $\frac{2}{5}$

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Which is equivalent to V180x11 after it has been simplified completely?

inna [77]

Question:

Which is equivalent to $\sqrt{180x^{11}}$ after it has been simplified completely?

Answer:

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

Step-by-step explanation:

Given

$\sqrt{180x^{11}}$

Required

Simplify

We start by splitting the square root

$\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}$

Replace 180 with 36 * 5

$\sqrt{180x^{11}} = \sqrt{36 * 5} * \sqrt{x^{11}}$

Further split the square roots

$\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} * \sqrt{x^{11}}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{11}}$

Replace power of x; 11 with 10 + 1

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10 + 1}}$

From laws of indices; $a^{m+n} = a^m * a^n$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x^1}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x}$

Further split the square roots

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10}} * \sqrt{x}$

From laws of indices; $\sqrt{a} = a^{\frac{1}{2}}$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{10*\frac{1}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{\frac{10}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{5} * \sqrt{x}$

Rearrange Expression

$\sqrt{180x^{11}} = 6 * x^{5} * \sqrt{5} * \sqrt{x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}$

From laws of indices; $\sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}$

So, we have

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}$

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

<em>The expression can no longer be simplified</em>

Hence, $\sqrt{180x^{11}}$ is equivalent to $6x^{5}\sqrt{5x}$

7 0

3 years ago

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Miss Garcia an art teacher is buying supplies for her next unit on ceramics. Her 25th six graders are making mugs and jugs estim

d1i1m1o1n [39]

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3 years ago

8=8p+13−3p please help

Elenna [48]

Answer:

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Step-by-step explanation:

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3 years ago

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Ilya [14]

The anser is C for reasons of science ;)

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3 years ago

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Sergio039 [100]

Answer:

1:12

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8: the product is -80. What she could've done is forgot to add the negative sign.

Step-by-step explanation:

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3 years ago

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