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QveST [7]
3 years ago
5

Solve the system of linear equations by graphing.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0
The answer is a) x=-4.5, y=-4.25
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Question 4<br> Find x<br> 32°
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Answer:

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Step-by-step explanation:

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4 years ago
240,000 written as 10th power
kirill115 [55]
The answer is 24 to the 4th power
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3 years ago
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Ann [662]

Answer:

2x + 5y = -5

Step-by-step explanation:

Since the new line is parallel to the given line 2x + 5y = 10, the equation of the new line has exactly the same form as does 2x + 5y = 10, except that the constant will be different.

Were we to solve this equation (in standard form) for y in slope-intercept form, we'd get:

5y = -2x + 10, or

        -2x + 10

y = ----------------

              5

or

     

y =  (-2/5)x + 2

             

Writing out 2x + 5y = C, we substitute -5 for x and 1 for y, obtaining

2x + 5y = C  =>  2(-5) + 5(1) = -10 + 5 = -5.  Therefore, C = -5 and the equation of the new line is

2x + 5y = -5

6 0
3 years ago
when a card is drawn from a standard deck of 52 cards, what is the probability of getting a. queen b.a red. c.a queen or a red c
Brut [27]

(a) Probability of getting a queen from a deck of 52 cards = \frac{1}{13}

(b) Probability of getting a red card from a deck of 52 cards = \frac{1}{2}

(c) Probability of getting a queen or a red card from a deck of 52 cards = \frac{7}{13}

<u>Solution:</u>

Given that card is drawn from a standard deck of 52 cards.

Need to determine probability of getting  

(a) queen (b) red (c) a queen or a red card

\text { Probability of an event }=\frac{\text { favorable number of events }}{\text { total number of events }}

<em><u>(a) Calculating probability of getting a queen from a deck of 52 cards </u></em>

Favorable events are getting a queen of spade, heart , diamond or club.

Means number of favorable events = 4

Total events is all possible outcomes from 52 cards  

So Total number of event = 52

\Rightarrow \text { probability of getting a queen }=\frac{4}{52}=\frac{1}{13}

<em><u>(b) Calculating probability of getting a red card from a deck of 52 cards </u></em>

Number of red cards are 13 cards of diamonds and 13 cards of heart = 13+13 =26

So number of favorable event = 26

Total number of event = 52

\Rightarrow \text { probability of getting a red card }=\frac{26}{52}=\frac{1}{2}

<em><u>(c) Calculating probability of getting a queen or red card from a deck of 52 cards </u></em>

Favorable events are 26 red cards + two queens of spade and club. Need to keep in mind that queens of heart and diamond is already considered in 26 red cards.

So number of favorable event = (26+2) = 28

Total number of event = 52

\text { Probability of getting a queen or red card }=\frac{28}{52}=\frac{7}{13}

<em><u>Summarizing the result :</u></em>

(a) Probability of getting a queen from a deck of 52 cards = \frac{1}{13}

(b) Probability of getting a red card from a deck of 52 cards = \frac{1}{2}

(c) Probability of getting a queen or a red card from a deck of 52 cards = \frac{7}{13}

7 0
4 years ago
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