MATHEMATICS HIGH SCHOOL

Samuel pulls two coin out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quarter, what is the probability that he pulled more than 20 cents out of his pocket? Justify your work by creating a tree diagram or a sample space.

Answers

Answer 1
Answer: 2:3 3 possible options (quarter+dime= 35, quarter+nickel=30, dime+nickel=15) two options are more than 20
Answer 2
Answer:

Final answer:

The probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.

Explanation:

In order to find the probability that Samuel pulls more than 20 cents out of his pocket, we need to determine the sample space and the favorable outcomes.



The sample space is the set of all possible outcomes, which in this case is the number of ways Samuel can choose 2 coins out of the 3 coins in his pocket. The number of ways to choose 2 coins out of 3 is given by the combination formula, which is C(3, 2) = 3.



The favorable outcomes are the number of ways Samuel can choose 2 coins that total more than 20 cents. Since Samuel has a nickel (5 cents), a dime (10 cents), and a quarter (25 cents), the favorable outcomes are:



  1. Choosing the dime and quarter, which has a total value of 10 + 25 = 35 cents
  2. Choosing the nickel and quarter, which has a total value of 5 + 25 = 30 cents



Therefore, there are 2 favorable outcomes out of a total of 3 possible outcomes, so the probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.

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The relationship between the number of cups of flour, f , and the number of cups of milk, m , used in a cake recipe can be modeled by the equation f = 1 2 m . How many cups of flour should be used for 1 cup of milk?

Answers

Answer:

f = (1/2)(m), for m = 1

f = (1/2)(1)

Step-by-step explanation:

Final answer:

To use 1 cup of milk, 1/2 cup of flour should be used.

Explanation:

The relationship between the number of cups of flour, f, and the number of cups of milk, m, used in a cake recipe can be modeled by the equation f = 1/2m. To find out how many cups of flour should be used for 1 cup of milk, we can substitute 1 for m in the equation. Plugging in the value of m, we get:



f = 1/2 * 1 = 1/2



So, 1/2 cup of flour should be used for 1 cup of milk.

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What is the value of x in the equation: 0.7x - 1.4 = -3.5?A. -7
B. -3
C. 3
D. 7

Answers

Answer:

B). -3

add the -1.4 to-3.5 then divide the solution

Answer:

It's B. -3 (please mark as brainliest)

Step-by-step explanation:

0.7x−1.4=−3.5

Step 1: Add 1.4 to both sides.

0.7x−1.4+1.4=−3.5+1.4

0.7x=−2.1

Step 2: Divide both sides by 0.7.

0.7x

0.7

=

−2.1

0.7

So it's x=−3

a bag contains yellow marbles and blue marbles, 49 in total. the number of yellow marbles is 7 less than 3 times the number of blue marbles. how many yellow marbles are there ?

Answers

In short there are 35 yellow marbles and 14 blue marbles. For a long explanation, lol, keep on reading.


We know there are 49 marbles but we also know that there are only two colors, yellow and blue. So, we can assume that the yellow + blue marbles = 49. I'm going to use Y for yellow and B for blue. I'm going to rewrite the same equation with these variables. Y + B = 49. The problem continues with telling us that the yellow marbles are three times more than the blue ones with seven subtracted from that. I rephrased what they told us for better comprehension. So, we can assume that Y = 3B - 7. I gave Y that equation because of what the problem told us about Y. Continuing on, we know that Y + B = 49 and Y = 3B - 7. With this information, we can substitute Y into the Y + B = 49 equation. We now get, once we substitute Y into that equation, (3B - 7) + B = 49. We can add the B's together and get 4B - 7 = 49. Now, add the 7 and we get 4B = 56. Divide the B by 4 and we get B = 14. So, we now know what B is; we plug into the original equation to find Y. We plug in B = 14 into this equation, Y + B = 49. Once B is plugged in, Y + 14 = 49. Subtract 14 from 49 and we get Y = 35. Hope this helped. Good luck!

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Answers

Answer: 360 degrees

Step-by-step explanation:

Multiply by 1/3. 360(1/3)=120.

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Answers

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Answers

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