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just olya [345]
3 years ago
14

Leon's mother paid $2.16 for 3 pounds of sugar. How much would 1 pound of sugar cost?

Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

.72

Step-by-step explanation:

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What is equivalent to 3 to the negative 2nd power
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3 to the negative second power is written like this: 3^{-2}. 

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base. 
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The next step is to put one over that number.
In this case, now after doing that the answer is \frac{1}{9}. 

Hope this helps!
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If Z is the centroid of ∆LMN,WZ=4,ZN=14, and ZY = 10, find each missing measure
jeyben [28]

Answer:

ZM = 8

WM = 12

XZ = 7

XN = 21

LZ = 20

Step-by-step explanation:

The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.

The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.

ZM = (2/3)WM (centroid theorem)

Therefore: WZ = (1/3)WM

WM = 3WZ = 3 * 4 = 12

ZM = (2/3) * WM = 2/3 * 12 = 8

ZN = (2/3)XN (centroid theorem)

XN = (3/2)ZN = 3/2 * 14 = 21

XN = 21

XZ + ZN = XN

XZ + 14 = 21

XZ = 7

LZ = (2/3)LY (centroid theorem)

Therefore: ZY = (1/3)LY

LY = 3ZY = 3 * 10 = 30

LZ = (2/3) * LY = 2/3 * 30 = 20

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Step-by-step explanation:

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3 years ago
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