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alexira [117]
2 years ago
12

The 34% solution!

Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Using the relation between velocity, distance and time, it is found that he traveled 281.25 km by bus and 1618.75 km by plane.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, that is:

v = \frac{d}{t}

In this problem, first he traveled a distance of d km by bus, with an average speed of 60 km/h and a time of t, hence:

60 = \frac{d}{t}

d = 60t

Then, by plane, he traveled a distance of 1900 - d km, with an average speed of 700 km/h and a time of 7 - t, hence:

700 = \frac{1900 - d}{7 - t}

Since d = 60t, we have that:

700 = \frac{1900 - 60t}{7 - t}

1900 - 60t = 4900 - 700t

640t = 3000

t = \frac{3000}{640}

t = 4.6875

Hence:

d = 60t = 60 x 4.6875 = 281.25 km

1900 - d = 1900 - 281.25 = 1618.75 km

He traveled 281.25 km by bus and 1618.75 km by plane.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

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soldi70 [24.7K]
Honestly just use desmos or mathyway
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A circle has a radius of 7 inches. What is the area of the circle?<br> Mark only one oval
Vikki [24]

Answer:A≈153.94in²

Step-by-step explanation:Hope this was helpful

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3 years ago
The graph shown compares the number of pages of the same book read by Emily and Serena over time.
iragen [17]

Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.

<h3>What is the Equation of a Linear Graph?</h3>

Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.

Equation for Emily's graph:

Slope (m) = rise/run = 1/3

y-intercept (b) = 2

Substitute m = 1/3 and b = 2 into y = mx + b

y = 1/3x + 2

Equation for Serena's graph:

Slope (m) = rise/run = 2/5

y-intercept (b) = 0

Substitute m = 2/5 and b = 0 into y = mx + b

y = 2/5x + 0

y = 2/5x

To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.

2/5x = 1/3x + 2

2/5x - 1/3x = 2

1/15x = 2

Multiply both sides by 15

x = (2)(15)

x = 30

The answer is 30 minutes for both to read the same number of pages.

Learn more about linear equations on:

brainly.com/question/14323743

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Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?
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Answer:

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Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

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_____

<em>Additional comment</em>

Writing the original equation in standard form can help you see its intercepts.

  3x +y = 3

  3x = 3   ⇒   x = 1 . . . . x-intercept (at y=0)

  y = 3   . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.

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3 years ago
A rectangle has an area of 8 square centimeters.
Westkost [7]

Answer:

Step-by-step explanation:

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