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vivado [14]
2 years ago
15

Lily pads increase by 25% every 10 days.lf a pond starts with 22 lily pads,how many will there be after 50 days?

Mathematics
1 answer:
Fantom [35]2 years ago
3 0

We conclude that after 50 days, there will be 67 lily pads.

<h3>how many will there be after 50 days?</h3>

We know that the number increases by 25% every 10 days.

In 50 days we have 5 groups of 10 days, so there will be five increases of 25%.

We know that the initial number is 22 lily pads, if we apply five consecutive increases of the 25% we get:

N = 22*(1 + 25%/100)*...*(1 + 25%/100%)

( the factor (1 + 25%/100%) appears five times)

So we can rewrite:

N = 22*(1 + 25%/100%)⁵

N = 22*(1 + 0.25)⁵ = 67.1

Which can be rounded to the nearest whole number, which is 67.

So we conclude that after 50 days, there will be 67 lily pads.

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

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Answer:

15.5 inches

Step-by-step explanation:

  • Length of rectangle = 22 inches
  • Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>

Therefore, width of the rectangle is 15.5 inches.

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3 years ago
What is the value of x?
mel-nik [20]

Answer:

x = 24

Step-by-step explanation:

1.) put the equations together and equal them to 180

2x + 4 + 6x - 16 = 180

2.) combine like terms

8x - 12 = 180

3.) divide both sides by 8

8x = 192

4.) simplify

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A function is shown: f(x) = 36x² - 1.
givi [52]

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

<h3>What are equivalent functions?</h3>

Equivalent functions are different functions that have equal values when evaluated and compared

<h3>How to determin the equivalent function that best shows the x-intercepts on the graph?</h3>

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

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So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

Read more about equivalent function at:

brainly.com/question/2972832

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