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katovenus [111]
2 years ago
13

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and

Mathematics
2 answers:
SCORPION-xisa [38]2 years ago
4 0

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

amid [387]2 years ago
3 0

Answer:

I don't know sorry Soo sorry

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Option B: \frac{AB}{BC}=\frac{AE}{ED} is sufficient to prove that BE ll CD

Explanation:

Given that ACD is a triangle.

The line EB intersects the sides AC and AD of the triangle.

The point E intersect the side AD and B intersect the side AC.

We need to prove that BE ll CD

Then, the side splitter theorem states that "If a line intersects two sides of a triangle and divides the sides proportionally, the line is parallel to the third side of the triangle".

From the side splitter theorem, the line EB intersects the two sides of the triangle AC and AD and divides the sides proportionally.

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This proportionality shows that the line is parallel to the third side of the triangle.

Hence, \frac{AB}{BC}=\frac{AE}{ED} is sufficient to prove that BE ll CD

Therefore, Option B is the correct answer.

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Step-by-step explanation:

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