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xxMikexx [17]
2 years ago
13

There are 40 monkeys and 60% of the monkeys are in the trees. How many monkeys are in the trees?

Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

Answer:

24 monkeys are in the tree

Step-by-step explanation:

We solve it by writing \frac{60}{100} times \frac{40}{1}

Why is it over 100? Because every percent is out of 100!

\frac{60}{100} X \frac{40}{1} (your equation)

60 times 40 = 2400 and 100 times 1 = 100, We get, \frac{2400}{100},

Lastly, we simplify the fraction by 100 on each side:

\frac{2400}{100} / \frac{100}{100}

you get 24

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Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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