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3 years ago

What does it mean for two fractions to be equivalent? For two ratios to be equivalent?

Mathematics

1 answer:

poizon [28]3 years ago

3 0

Answer:

Equivalent fractions and ratios mean that when simplified, they are the same one fraction or ratio. see examples below.

Step-by-step explanation:

For example, the fraction 1/2 is the same as 2/4 or 15/30 because when you simplify them, they are still 1/2. Therefore they are equivalent.

For example, the ratio 1:2 is the same as 5:10 or 10:20 since when broken down they all come down to 1:2. Hence they are equivalent.

Hope this answers your question.

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Alexus [3.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately

Ludmilka [50]

Answer:

Answer in explanation

Step-by-step explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

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3 years ago

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A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify fo

pashok25 [27]

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!

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3 years ago

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3 years ago

What is the equation of the line that is perpendicular to the given line and passes through point (2,5)?

ad-work [718]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x+1}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)$

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}$

$\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1$

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3 years ago