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Norma-Jean [14]
3 years ago
9

You buy 2 pairs of shoes in a sale. You pay the full price of $48 for the first pair, and you get the second pair for half this

price. What fraction of the full price do you pay for 2 pairs of shoes?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
3/4...........................................................................
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Answer:

Step-by-step explanation:

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Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
grandymaker [24]

Important question. No menu of choices given so we'll just have to figure it out.

It's not possible in two dimensions for all three vertices of an equilateral triangle to be lattice points, i.e. points with integer coordinates.  

Since A(-2,1) and B(4,1) have integer coordinates, our other point won't. There will be a √3 involved, the algebraic tell that there's a 30/60/90 triangle lurking somewhere in the problem.

Here the given side is parallel to the x axis which makes things easier.  

|AB| = 4 - -2 = 6

The x coordinate of the third vertex will be the same as that of the midpoint of AB, let's call it M,

M = ( (-2 + 4) / 2, (1 + 1)/2 ) = (1, 1)

We're making some progress.  Whatever our height h is our two candidates for the third vertex C are (1, 1 ± h).

Since |AB|=6, we get |AB|=|BC|=|AC|=6 because it's an equilateral triangle.

The altitude CM bisects the triangle into 2 30/60/90 triangles.  Let's take one of them, AMC.  Angle AMC is a right angle, so we have a right triangle with legs |AM|=3 and |CM|=h, and hypotenuse |AC|=6. The Pythagorean Theorem tells us:

3² + h² = 6²

9 + h² = 36

h² = 27

h = 3√3

Answer: C is (1, 1 + 3√3) or (1, 1 - 3√3)

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3 years ago
Teddy, Karzan and Karl went to the store to buy candy. Teddy spent $21 on 3 pieces of candy, Karzan spent $63 on 21 pieces of ca
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Karl did because $58 for 20 pieces is cheaper than $63 for 21 and $3 for 21 pieces.
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Please help me <br><br> Please, I beg you.
IgorLugansk [536]

Answer:

a reflection followed by a translation

Step-by-step explanation:

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Ashton just launched a new business page on social media. After one month, she has 35 followers.
Georgia [21]

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122.5

Step-by-step explanation:

If it triples her followers per 6 months then it gives her half of her followers in one month. So 35 times 3.5 which is 122.5

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3 years ago
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