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nekit [7.7K]
2 years ago
11

Aliana is a certain age, and her mother is six times as old as her. In ten years'

Mathematics
1 answer:
Sergio [31]2 years ago
8 0

Answer:

Allana is 2 1/2 and her mother is 15 years old.

Step-by-step explanation:

Let Allana's age be x years then,

her mother's age is 6x.

Using the given information in ten years time we have the equation:-

6x + 10 = 2(x + 10)

6x + 10 = 2x + 20

6x - 2x = 20 - 10

4x = 10

x = 2 1/2

So 6x = 6 * 2 1/2 = 15.

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kodGreya [7K]

Josiah and Chana travel at constant and different speeds.

  • The point F indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana

<h3>How can the what the the point <em>F </em>represent be known?</h3>

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Expressing the distance traveled as an equation, we have;

D = d + s × t

Where;

D = The distance covered

d = The distance from the starting line the runner starts

s = The speed of the runner

t = The time spent running

For Josiah, we have;

D = 10 + 2•t (line <em>a</em>)

For Chana, we have;

D = 0 + 3•t = 3•t (line <em>b</em>)

The above equations are straight line equations.

The point <em>F </em>is on line <em>a</em>, which shows Josiah distance after 25 seconds which is 60 meters. The corresponding point on line <em>b</em>, Chana's distance after 25 minutes is 75 meters.

Therefore;

  • The point <em>F </em>indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana

Learn more about straight line equations here:

https://brainly.in/question/16254550

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5 0
2 years ago
Which describes the transformation? Select three options.
Katyanochek1 [597]

Answer:

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Step-by-step explanation:

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A translation only moves the figure, preserving the size.

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7nadin3 [17]

In the graph, the constant of proportionality is 40

<h3>Calculating the constant of proportionality</h3>

From the question, we are to determine the constant of proportionality

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From the graph, a point on the line is (1, 40)

That is,

When x = 1 and y = 40

Thus,

The constant of proportionality = \frac{40}{1}

Constant of proportionality = 40

Hence, the constant of proportionality is 40

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