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irina1246 [14]
2 years ago
14

Brian is fencing a rectangular area in the backyard for his dog. He has 25 ft of fence. He does not need fencing on the side tha

t runs along the garage. This side is 9 ft long. what are the dimensions of the kennel?
Mathematics
1 answer:
Triss [41]2 years ago
4 0
25-9=16
16/2=8
therefore
9by8


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Students in a world geography class want to determine the distances between cities in Europe. The map gives all
galina1969 [7]

Using a proportional relationship, we have that:

  • a) The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.
  • b) The distance of two cities that are 5 miles apart is of 8 kilometers.
  • c) When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

<h3>What is a proportional relationship?</h3>
  • A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

y = kx

  • In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

y = kx

5 = 8k

k = \frac{5}{8}

k = 0.625

The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

You can learn more about proportional relationship at brainly.com/question/13550871

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Answer:

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Step-by-step explanation:

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"The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest."

Hope This Helped

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Step-by-step explanation:

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A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same
Katyanochek1 [597]

Answer:

A) d = 48t, d in miles, t in hours

B)d = 32t, d in miles, t in hours

C)y = 8 mph

Step-by-step explanation:

16 miles in 20 mins = 48 mph

16 miles in 30 mins = 32 mph

The boat speed is the average = (48 + 32)/2 = 40 mph

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