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3 years ago

The expression 24y+36 represents the cost of a dozen eggs. Use factoring to write an expression that is equivalent to 24y+36. Th

en write an expression for the cost of one egg. (I would love an explanation on how you got the answer! Thank you!)

Mathematics

1 answer:

andriy [413]3 years ago

5 0

$12eggs \: = 24y + 36 \\ 1egg \: = \frac{24y + 36}{12} \\ = 2y + 3$

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Solve for x. 2/3(3x−4)+3x=5/6

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2/3 ( 3x - 4 ) + 3x = 5/6

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3 years ago

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3 years ago

In the diagram below, we have $ST = 2TR$ and $PQ = SR = 20$. Find the length $UV$.

Maslowich

Answer:

Step-by-step explanation:

1. $ST=2TR$ and $SR=20,$ then by segment addition postulate

$ST+TR=SR\\ \\2TR+TR=SR\\ \\3TR=20\\ \\TR=\dfrac{20}{3}\\ \\ST=2\cdot \dfrac{20}{3}=\dfrac{40}{3}$

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3. Consider triangles QUV and QSR. These triangles are similar by AA similarity theorem. Similar triangles have proportional corresponding sides, so

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$\dfrac{UV}{SR}=0.6\Rightarrow UV=0.6SR=0.6\cdot 20=12$

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3 years ago

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