When a number is decreased by 10% of itself, the result is 81, what is the number?

Mathematics

1 answer:

stira [4]9 months ago

3 0

The number is 90.

<h3>What is the number?</h3>

Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %. Percentages are a measure of frequency.

When the number is decreased, the number becomes smaller. This means that the original number is larger than 81.

The equation that can be used to represent the information in the question is:

(1 - percentage decrease) initial number = 81

(1 - 0.1)x = 81

0.9x = 81

x = 81 / 0.9

x = 90

To learn more about percentages, please check: brainly.com/question/25764815

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How many four letter permutations can be formed from the first five letters of the alphabet?

Maru [420]

Answer: 120

<u>Step-by-step explanation:</u>

Permutation means that order matters.

$_nP_r = \dfrac{n!}{(n-r)!}\quad \text{where n is the total \# of items and r is the quantity chosen} \\\\\text{In the given problem, n = 5 and r = 4}\\\\\\_5P_4=\dfrac{5!}{(5-4)!} = \dfrac{5\times 4\times 3\times 2 \times 1}{1}=120$