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notsponge [240]
4 years ago
6

There are 49 counters in a bag.

Mathematics
1 answer:
emmainna [20.7K]4 years ago
4 0
Answer:

Explanation:

49-20=29 blue counters

There’s a 29/49 chance that the counter will be blue
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In the following triangle what is the length of the hypotenuse?
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Answer:

Hypotenuse: 6

Step-by-step explanation:

Sin45°=(BC/AC)

Sin45°=(3√2/AC

1/√2=3√2/AC

AC=3×2=6

so hypotenuse = 6

hope it helps

have a great day!!

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Janice wants to create a test containing 20 questions worth 50 points. If Janice creates questions worth either two points or fo
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Answer:

15 two-point questions and 5 four-point questions.

Step-by-step explanation:

Let x represent number of two-points questions and y represent number of four-points questions.

We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:

x+y=20...(1)

Since all questions are worth 50 points. We can represent this information in an equation as:

2x+4y=50...(2)

From equation (1), we will get:

x=20-y

Upon substituting this value in equation (2), we will get:

2(20-y)+4y=50

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2y=10

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y=5

Therefore, there are 5 questions that are worth 4 points each.

Now, we will substitute y=5 in equation (1) to solve for x.

x+5=20

x+5-5=20-5

x=15

Therefore, there are 15 questions that are worth 2 points each.

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