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Flura [38]
3 years ago
10

If k + 1, 2k - 1 and 3k + 1 are three consecutive terms of a GP, find the value of the common ratio​

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

r = -1 or r = 5/3

Step-by-step explanation:

(2k - 1)/(k + 1) = (3k + 1)/(2k - 1)

(2k - 1)^2 = (k + 1)(3k + 1)

4k^2 - 4k + 1 = 3k^2 + 4k + 1

k^2 - 8k = 0

k(k - 8) = 0

k = 0 or k = 8

For k = 0,

(2k - 1)/(k + 1) = -1/1 = 1

For k = 8,

(2k - 1)/(k + 1) = 15/9 = 5/3

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Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint. If Maya buys 9 cans
Dmitry [639]

Answer:

She can paint <u>6 rooms</u>.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  \frac{3}{2} cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = \frac{1}{\frac{3}{2}} =\frac{2}{3} room.

Thus, 9 cans of paint is needed to paint = \frac{2}{3} \times 9

=\frac{18}{3} \\\\=6\ rooms.

Therefore, she can paint 6 rooms.

5 0
3 years ago
If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.
stich3 [128]

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

8 0
3 years ago
Can someone help me with this please?
Ulleksa [173]
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7 0
3 years ago
Solve for x<br><br> 3 = x/2<br><br> X =
enot [183]

Answer:

6

Step-by-step explanation:

3=x/2

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3 0
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Which of the following statements represents an issue that would be dealt with by the environmental justice movement?
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Answer:

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Step-by-step explanation:

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