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nexus9112 [7]
3 years ago
7

Please help (problem in picture)

Mathematics
1 answer:
Len [333]3 years ago
8 0

option 2

c(c-2) over 2(c+2)


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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

4 0
2 years ago
A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California.
kotegsom [21]

Answer:

<h2>Most explained:</h2>

40% = 100%

15 = (100% - 15% = 85%) 85% in Alaska

California = 15% of 40 = (0.15 x 40) = 6

Alaska = 85% of 40 = (0.85 x 40) = 34

<h2>The simple way (or the way i found it simple):</h2>

<h3>40 - 15 = 34</h3><h3>15% of 40 = 6</h3>

<h3>(I found the simple way after i solve the first way)</h3>

Bye, i hope this helps.

<h3 />

3 0
2 years ago
Work out the circumference of this circle.
Arada [10]

Answer: 52.7856cm

Step-by-step explanation:

Circumference of a circle = 2πr

Note that radius = Diameter / 2 = 16.8/2 = 8.4cm

Circumference = 2πr

= 2 × 3.142 × 8.4

= 52.7856cm

Therefore, the circumference of the circle is 52.7856cm

6 0
3 years ago
A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2
eduard

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

7 0
2 years ago
Which ordered pair is included in the solution set to the following system?
Nataliya [291]

The ordered pair is included in the solution set to the following system is (0,2)

<h3>Set of inequalities</h3>

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

y = 1

This shows that the ordered pair is included in the solution set to the following system is (0,2)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

7 0
2 years ago
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