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fredd [130]
3 years ago
11

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

butterflies in the first generation, how many will there be by the 19th generation?
Mathematics
2 answers:
wlad13 [49]3 years ago
4 0

Answer:

517,262

Step-by-step explanation:

A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?

----------------

Ans: (1.5)^18 * 350 = 517,262

Doss [256]3 years ago
3 0

Answer: there will be 517262 butterflies by the 19th generation.

Step-by-step explanation:

The population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. This means that the population is increasing in geometric progression. We would apply the formula for determining the nth term of a geometric progression which is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 350

r = 1.5

n = 19

Therefore, the 19th term or generation, T19 would be

T19 = 350 × 1.5^(19 - 1)

T19 = 350 × 1.5^18

T19 = 517262

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Step-by-step explanation:

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Vikentia [17]

To solve this, follow these steps:

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5x + 27 = 9x + 27 - 4x

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These two then cancel each other out completely.

This is an identity because an identity in math is when both equations equal each other, which is shown above.

Hope this helps!

5 0
3 years ago
The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the r
iris [78.8K]
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3 0
3 years ago
What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?  
Lyrx [107]

Answer:

4

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

4 0
3 years ago
Read 2 more answers
*click image*
rosijanka [135]

Answer:

y = 42

Step-by-step explanation:

18 - y = -24

18 + 24 - y = 0

18 + 24 = y

18 + 24 = 42

i think

7 0
3 years ago
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