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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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Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8
ad-work [718]

Answer:

<u>Recursive:</u>

a_n=a_{(n-1)}+18\\ \\ a_1=82

<u>Explicit:</u>

a_n=64+18n

Explanation:

<u>1. Sequence:</u>

a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...

<u>2. Recursive formula</u>

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

a_n=a_{(n-1)}+18\\ \\ a_1=82

<u>3. Explicit formula</u>

The explicit formula permits to calculate any value of a term in the sequence:

a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n

7 0
2 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
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