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o-na [289]
3 years ago
13

What is the common ratio of 9, 81, 729. -6561

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

Given:

Consider the given sequence is 9, 81, 729, 6561.

To find:

The common ratio.

Solution:

We have,

9, 81, 729, 6561

Here,

First term = 9

Second term = 81

Divide the second term by first term to get the common ratio.

r=\dfrac{81}{9}

r=9

Similarly,

\dfrac{81}{9}=\dfrac{729}{81}=\dfrac{6561}{729}=9=r

Therefore, the common ratio is 9.

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Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

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x = y - 80 = 200 - 80 = 120

<u>So, the number of pens = 120 and the number of pencils = 200</u>

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Please help ASAP<br> ITS 14 points
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Answer:

area= 62.88

Step-by-step explanation:

to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.

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