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xenn [34]
2 years ago
8

What are the x- and y-intercepts of the graph of 3x+6y=12?

Mathematics
1 answer:
Dafna1 [17]2 years ago
3 0

Answer:

X-int.: (4,0)

Y-int.: (0,2)

Step-by-step explanation:

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To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
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2 years ago
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The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

4 0
3 years ago
Latoya earns $25.05 for 3 hours of tutoring. How much money does latoya earn each hour?
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Answer:

$8.35 per hour

Step-by-step explanation:

Take the dollars and divide by the hours to determine the dollars per hour

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Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

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