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antoniya [11.8K]
3 years ago
5

Which numbers are the means of the proportion shown below 2/3 = 20/30

Mathematics
2 answers:
valentina_108 [34]3 years ago
5 0

A <u>proportion</u> is simply a statement that two <u>ratios</u> are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the <u>extremes</u>, and the middle terms, called the <u>means</u>.

Consider given proportion

\dfrac{2}{3}=\dfrac{20}{30}.

Here, 2 and 30 are the extremes and 3 and 20 are the means.

Answer: the means are 3 and 20.

murzikaleks [220]3 years ago
3 0
It's 3 and 20.
If that's an option for you!
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How <br> do you write (-∞, 8) or (10, ∞) as an inequality?
ahrayia [7]

Your answer would be, To write, (−∞,8), or (10,∞), ==> x < 8 or, x > 10

(-∞, 8) or (10, ∞)

Solution: ==> - 10 . ∞ + 8 . ∞ or, x < 8 or, x > 10

Steps:

(-∞, 8) or (10, ∞) ==> - 10 . ∞ + 8 . ∞

(-∞, 8) . (10, ∞)

Computing dot product of two Vectors:

( X1, Xn) . ( Y1, Yn) = Σ^n^i = 1X^iY^i

= ( - ∞) . 10 + 8 . ∞

Simplify:

( - ∞) 10 + 8 . ∞

- 10 . ∞ + 8 . ∞

( - ∞) . 10 + 8 . ∞

Remove Parenthesis:

( - a) ==> - a

- ∞ . 10 + 8 . ∞

==> - 10 . ∞ + 8 . ∞

==> (- 10 . ∞ + 8 . ∞) ==> - 10 . ∞ + 8 . ∞

( ==> - 10 . ∞ + 8 . ∞)

Remove Parenthesis:

( a) = a

==> - 10 . ∞ + 8 . ∞

Therefore, (-∞, 8) or (10, ∞) as an inequality, Answers are, ==>

- 10 . ∞ + 8 . ∞ or, x < 8 or, x > 10

Check:

(-∞, 8) or (10, ∞)

==> x < 8 or, x > 10

Solution:

x < 8 or, x > 10

Interval Notation:

[ x < 8 or, x > 10 ==> (-∞, 8) ∪ (10, ∞) ]

Steps:

x < 8 or, x > 10

x < 8 : x < 8

x < 8

x < 8

x < 8

x > 10 : x > 10

x > 10

x > 10

x > 10

Combine The Ranges:

x < 8, or x > 10

Hope that helps!!!!! : )

4 0
3 years ago
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