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aleksandr82 [10.1K]
2 years ago
14

A) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale pr

ice varies, depending on the quantity of shoes purchased. (2 points)
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price
(per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each

Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?
Mathematics
1 answer:
aliina [53]2 years ago
4 0
In this question, the buying price will be lower if the quantity bought is higher. But the markup ratio for retail price is constant at 80% of buying price. If the price of the range is x, then the equation of retail price would be: 
Retail price= x * (100%+80%)
Retail price= x * 180%=
Retail price=  1.8 x

The equation should be same because the markup ratio is same. Only the buying price that will be different based on the quantity of shoe purchased. 
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Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
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Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
2 years ago
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A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?
OverLord2011 [107]

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

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2 years ago
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The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

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Area of a rectangle (which is what the dimensions resemble):

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In conclusion, the area of the tennis court is 264 m²

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