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3 years ago

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Evaluate 15% of 80% of 90

1 answer:

Marizza181 [45]3 years ago

8 0

First you find 80% of 90. Set up the proportion:
80 X
—— = —-
100 90
I’m simplifying the 80/100 so it’ll be easier to solve:
4 X
— = —-
5 90
Then cross multiply:
4(90) = 5x
360 = 5x
x = 72

So 80% of 90 is 72. (Or you could have multiplied 90 by 0.8 as a shortcut). Now you find 15% of 72. You can either multiply 72 by 0.15 or set up the proportion like this:
15 X
—— = —-
100 72
Cross multiply and solve. You should get 10.8

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scoray [572]

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3 years ago

Somebody pls help ASAP!

LenaWriter [7]

Answer:

Perpendicular

Step-by-step explanation:

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3 years ago

Select the basic integration formula you can use to find the indefinite integral.

kondaur [170]

Answer:

$\int \dfrac{du}{u}=\log|u|+C$

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$

Step-by-step explanation:

a.

$\int \dfrac{du}{u}=\log|u|+C$ $[\because \int \dfrac{dx}{x}=\log |x|+C]$

b.

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$ $[\because \int x^n dx=\dfrac{x^{n+1}}{n+1}+C]$

c.

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$ $[\because \dfrac{adx}{x\sqrt{x^2-a^2}}=\csc^{-1}(\dfrac{x}{a})+C]$

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3 years ago

How many 5-letter words can be made using exactly 5 of the letters from

kow [346]

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

Total number of ways = $3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )$

Total number of ways = $3(5) + 2(10)$

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

Learn more about combination and permutation here

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1 year ago

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Zolol [24]

Answer:

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Step-by-step explanation:

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