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Semenov [28]
3 years ago
5

IHELP if 1 out of 5 animals are cats then how many cats are there in an ecosystem of 200 animals???​

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0
There are 40 cats in the ecosystem.

You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.

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How to calculate the diameter of cylinder if you are given volume of 1000Litre and 224cm height ​
Afina-wow [57]

well, let's first notice, all our dimensions or measures must be using the same unit, so could convert the height to liters or the liters to centimeters, well hmm let's convert the volume of 1000 litres to cubic centimeters, keeping in mind that there are 1000 cm³ in 1 litre.

well, 1000 * 1000 = 1,000,000 cm³, so that's 1000 litres.

\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=1000000~cm^3\\ h=224~cm \end{cases}\implies \stackrel{cm^3}{1000000}=\pi r^2(\stackrel{cm}{224}) \\\\\\ \cfrac{1000000}{224\pi }=r^2\implies \sqrt{\cfrac{1000000}{224\pi }}=r\implies \cfrac{1000}{\sqrt{224\pi }}=r\implies \stackrel{cm}{37.7}\approx r

now, we could have included the "cm³ and cm" units for the volume as well as the height in the calculations, and their simplication will have been just the "cm" anyway.

6 0
2 years ago
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds con
KiRa [710]

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

8 0
3 years ago
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svetlana [45]
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Mark is 3 years older than Jane. In 4 years, Mark will be 3/2 as old as jane. How old is Mark now?
marishachu [46]
Mark is 5 years old now
5 0
3 years ago
Anya says, 62,996 rounds to 63,000 select all the places to which she could have rounded the number
OLga [1]

<span>She could round this number may it be in the tens and hundreds place. When rounding off a number, one should consider the place of the digit he or she would like to round it off to. One should consider what number is placed at the right of the rounding number. If the number is below 5, then that digit should remain and the rest of the digits to the right should be turned to 0s. </span>

6 0
3 years ago
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