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2 years ago

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Which choice shows 19 + 32 + 11 rewritten correctly using the commutative property and then simplified correctly?

1 answer:

Nookie1986 [14]2 years ago

6 0

The choice shows 19 + 32 + 11 rewritten correctly using the commutative property and then simplified correctly is option B; 19+11+32= 30+32 = 62.

<h3>What is the commutative property of addition?</h3>

The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.

For two numbers x and y, we have:

x + y = y + x

WE have given

19 + 32 + 11

The sum would be 62.

We know that by commutative property of addition,

For two numbers x and y,

x + y = y + x

Thus, if we take 3 numbers as a,b and c, then:

c + a + b = c + b + a

Similarly,

19 + 32 + 11 = 19+11+32

= 30+32

= 62

Therefore, the option B is the correct answer.

Learn more about properties of addition here:

brainly.com/question/1709448

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A) what is the probability that the first contestant is a boy?

tamaranim1 [39]

Probabilities are used to determine the chances of an event.

The probability that the first contestant is a boy is 1/2
The probability that the second contestant is a boy, if the first is a boy is 9/19
The probabilities are not independent

The given parameters are:

$\mathbf{Contestants= 20}$

$\mathbf{Girls= 10}$

$\mathbf{Boys = 10}$

<u>(a) Probability that first contestant is a boy</u>

This is calculated as:

$\mathbf{P(Boy) = \frac{Boys}{Contestants}}$

This gives

$\mathbf{P(Boy) = \frac{10}{20}}$

$\mathbf{P(Boy) = \frac{1}{2}}$

<u>(b) Probability that the second contestant is a boy, if the first is a boy</u>

This is calculated as:

$\mathbf{P(Boy) = \frac{Boys - 1}{Contestants - 1}}$

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.

So, we have:

$\mathbf{P(Boy) = \frac{10-1}{20-1}}$

$\mathbf{P(Boy) = \frac{9}{19}}$

<u>(c) Independent probabilities</u>

The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.

And this will affect the probability of the next selection.

Read more about probabilities at:

brainly.com/question/11234923

7 0

2 years ago

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Eduardwww [97]

It would be the first box, when multiplying exponents, you add the exponents and just keep the base. So it be 2^17

4 0

3 years ago

Read 2 more answers

Which pair shows equivalent expressions?

seraphim [82]

Given:

The pair of expressions in the options.

To find:

The pair that shows equivalent expressions.

Solution:

We have,

$2\left(\dfrac{2}{5}x+2\right)$

By using distributive property, we get

$2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)$

$2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4$

So, option A is incorrect and option B is correct.

We have,

$2\left(\dfrac{2}{5}x+4\right)$

By using distributive property, we get

$2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)$

$2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8$

So, options C and D both are incorrect.

Therefore, the correct option is B.

6 0

3 years ago

Read 2 more answers

What is the value of p <br> 13²=p<br>

solniwko [45]

169 because 13 x 13 = 168

8 0

3 years ago

Read 2 more answers

enrique says that to round a decimal to the nearest integer, you can just ignore the decimal part. Is enrique correct? Explain

Delvig [45]

Answer:

No

Step-by-step explanation:

No, the decimal part is important.

For example, 1.4≈1, but 1.5≈2

Therefore, Enrique is wrong.

4 0

3 years ago