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Kay [80]
4 years ago
5

$494 is 66 2/3 of what amount?

Mathematics
1 answer:
vlada-n [284]4 years ago
3 0
Is 66 2/3 of "x"

what the dickens is "x"?  well. hmmm let us make the mixed fraction an "improper fraction" first

so \bf 66\frac{2}{3}\implies \cfrac{66\cdot 3+2}{3}\implies \cfrac{200}{3}\\\\
-----------------------------\\\\
494=\cfrac{200}{3}x\implies 494=\cfrac{200x}{3}\implies \cfrac{3\cdot 494}{200}=x
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Verizon [17]

Option 3:

m∠ABC = 66°

Solution:

Given \overline {F A D} \| \overline {E H C} and ABH is a transversal line.

m∠FAB = 48° and m∠ECB = 18°

m∠ECB = m∠HCB = 18°

<u>Property of parallel lines: </u>

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

m∠FAB = m∠BHC

48° = m∠BHC

m∠BHC = 48°

<u>Exterior angle of a triangle theorem: </u>

<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

m∠ABC = m∠BHC + m∠HCB

m∠ABC = 48° + 18°

m∠ABC = 66°

Option 3 is the correct answer.

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<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

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Assuming that you have committed a mistake writing the equation, otherwise, the given options would not fit, the expression is:

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Now, from the statement we know that the function represents how much money each girl spent, so, if we need to calculate how much money they will spend together, we need to multiply the expression by 2, so we have:

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Then, calculating the spent money for 2 hours, we need to substitute the variable "x" with 2.

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Hence, we have that they spent $176 together.

Have a nice day!

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