40 centimeters is the right answer
Answer:
center (6, -5) radius 3
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center of the circle and r is the radius.
(x − 6)² + (y + 5)² = 9
The center is (6, -5) and the radius is 3.
The answer is 200 pounds
Let x be the number of pounds of the second chocolate that should be added
First chocolate: 300 pounds
cocoa to caramel = 1 to 7
So, there are in total 8 parts (1 + 7 = 8)
There is:
Cocoa: 1/8 * 300 pounds
Caramel: 7/8 * 300 pounds
Second chocolate: x pounds
cocoa to caramel = 1 to 15
So, there are in total 16 parts (1 + 15 = 16)
There is:
Cocoa: 1/16 * x pounds
Caramel: 15/16 * x pounds
Resulting chocolate: 300 + x pounds
cocoa to caramel = 1 to 9
So, there are in total 10 parts (1 + 9 = 10)
There is:
Cocoa: 1/10 * (300 + x) pounds
Caramel: 9/10 * (300 + x) pounds
Since in all chocolate, there is only one part of cocoa, it is easy to add up the amounts of cocoa:
1/8 * 300 + 1/16 * x = 1/10 * (300 + x)
300/8 + x/16 = 300/10 + x/10
75/2 + x/16 = 30 + x/10
75/2 - 30 = x/10 - x/16
75/2 - 60/2 = 8x/80 - 5x/80
(75 - 60)/2 = (8x - 5x)/80
15/2 = 3x/80
80 * 15/2 = 3x
40 * 15 = 3x
600 = 3x
x = 600/3
x = 200 pounds
The probability that a black and then a blue marble were chosen is 1/16 if the total number of marbles is 16
<h3>What is probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Here data is not given so we are assuming:
Total number of marbles = 6(green) + 2(blue) + 8(black) = 16 marbles
Probability of getting black = 8/16 = 1/2
Probability of getting blue = 2/16 = 1/8
From the product rule:
Probability that a black and then a blue marble = (1/2)(1/8) = 1/16
Thus, the probability that a black and then a blue marble were chosen is 1/16 if the total number of marbles is 16
Learn more about the probability here:
brainly.com/question/11234923
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