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olasank [31]
3 years ago
9

Calvin evaluated -2/3 *5 1/6 using the steps below.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

For this case we have to evaluate the following expression,

- \frac {2} {3} * 5 \frac {1} {6}

We must follow the steps below:

We convert the mixed number into a fraction:

- \frac {2} {3} * \frac {6 * 5 + 1} {6} =\\- \frac {2} {3} * \frac {31} {6} =

We multiply the fractions, taking into account that:

- * + = -\\- \frac {2 * 31} {3 * 6} =\\- \frac {62} {18} =

We simplify:

- \frac {31} {9}

We convert to mixed number:

-3 \frac {4} {9}

Answer:

-3 \frac {4} {9}

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10+4x+6y because 25-15 3+1 and 16-10
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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the
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The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

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Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
2 years ago
Which of the following is a trinomial?
Masja [62]
Although you didn't provide any answer choices:

A trinomial is an expression with exactly three terms that can't be combined an example would be this

x^2 - 3x + 1

None of those terms can be combined

x^2 + 3 - 4 has three terms but it isn't considered a trinomial because you can simplify it to x^2 - 1 which is known as a binomial because it has 2 terms in it's simplified form.

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3 years ago
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Answer:

2/6 = 1/3

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2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

the same goes for 2/8 which is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

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Answer:

The scale factor is .625 is false The scale factor 1.6 is true

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