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Alex Ar [27]
3 years ago
13

Lin is a camp counselor she is making small bags of trail mix for. The campers to take on a hike she has 2pounds of raisins and

is putting 1/8 pound in each bag how many bags can she fill before she runs out of raisins
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0
2 pounds of raisins* (1 bag/ 1/8 pound of raisins)= 16 bags.
(Note that the unit cancels out so you get the answer)

Lin can fill 16 bags before she runs out of raisins~
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Please help, I’ll mark your answer as brainliest!
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Answer:

(x-230)^2+(y-220)^2=6100

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius. Immediately, since the center of the circle is given, we know what h and k are. h is 230 and k is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that d=\sqrt{x^2+y^2}, where x is the change in the x-coordinates of the two points and y is the change in the y-coordinates of the two points. Plug-in x for 60 and y for 50 to get d=\sqrt{50^2+60^2}. Solve for d, arriving at \sqrt{6100}. Therefore, the radius of the circle is \sqrt{6100}.

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for h, 220 for k, and \sqrt{6100} for r.

The equation of the circle will be (x-230)^2+(y-220)^2=6100.

Hope this helps :)

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