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Marrrta [24]
3 years ago
8

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

he made faces at his stuffed tiger. How long did Calvin spend making faces at his tiger?
Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer: \frac{20}{3}\ minutes or 6 \frac{2}{3}\ minutes

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes

You know that he had 30 minutes in time-out, he counted spots on the ceiling for \frac{70}{3} minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and \frac{70}{3} minutes:

30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes or 6 \frac{2}{3}\ minutes

lilavasa [31]3 years ago
6 0

Answer: 6 2/3 minutes

Step-by-step explanation:

30-23 1/3=6 2/3

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3 years ago
Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
3 years ago
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sladkih [1.3K]

Answer:

1/10

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4/5

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5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... =  2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

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Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

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3 0
3 years ago
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Answer:  \bold{(C)\ \dfrac{3 - x}{x(x-1)}}

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=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}\bigg(\dfrac{x-1}{x-1}\bigg)

=\dfrac{2}{x(x-1)}+\dfrac{-x+1}{x(x-1)}

=\dfrac{2-x+1}{x(x-1)}

=\dfrac{3-x}{x(x-1)}

8 0
4 years ago
Help, please! f(x)=x^2 what is g(x)?
Cloud [144]

Answer:

B

Step-by-step explanation:

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Hope this helps!!

4 0
3 years ago
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