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Alinara [238K]
3 years ago
5

7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

27

Step-by-step explanation:

Boys to girls is 2:3

and there are 18 boys so that means the 2 in 2:3 is actually 18

and 2 x 9 = 18 , so you would need to also multiply 3 by 9.

3 x 9 = 27

18:27

there are 27 girls

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My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
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2 years ago
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Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

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Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

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3 0
3 years ago
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