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loris [4]
3 years ago
7

Every day, Paula performs physical activity on her treadmill. For an hour, she runs 15,000 meters. Knowing that she spends an ho

ur a day on the treadmill, how many kilometers does she run in a week?
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer: 105 kilometers

Step-by-step explanation:

1 kilometer=1,000 meters

15,000 (meters a day) x 7 (days a week) = 105,000 meters.

Convert the meters to kilometers:

105,000/1,000 = 105 kilometers

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Someone please help I don’t understand this please
sdas [7]

The fraction of the image in blue with respect to the <em>entire</em> hexagon is \frac{1}{3}.

<h3>Estimation of the ratio of the shaded region area to the entire area</h3>

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

A_{1} = A_{2} (1)

Where:

  • A_{1} - Area of a type-1 triangle.
  • A_{2} - Area of a type-2 triangle.

The formulae for the area of the shaded region (A_{s}) and the <em>entire</em> hexagon (A_{h}) are, respectively:

<h3>Shaded region</h3>

A_{s} = 2\cdot A_{1} + 4\cdot A_{2} (2)

<h3>Entire hexagon</h3>

A_{h} = 8\cdot A_{1} + 10\cdot A_{2} (3)

And the fraction of the image in blue is:

\frac{A_{s}}{A_{h}} =  \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}}

\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A}

\frac{A_{s}}{A_{h}} = \frac{1}{3}

The fraction of the image in blue with respect to the <em>entire</em> hexagon is \frac{1}{3}. \blacksquare

To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236

6 0
3 years ago
What is the solution to the system of equations?
Mekhanik [1.2K]

Answer:

(-6, -2)

Step-by-step explanation:

When trying to find the solution to a system of equations on a graph, the solution is where the lines intersect.

The lines intersect at (-6, -2).  This is the solution.

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The price of an electronic puzzle was reduced be $7
Nimfa-mama [501]

Answer:

Step-by-step explanation:

total price was reduced by $ 7

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10x = 130 + 70

10x = 200

x = 200/10

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A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equ
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Answer: y = 150 + 2.75x

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Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:

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