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fredd [130]
3 years ago
6

Esmerelda bought a bag of jelly beans. There were 24 green jelly beans, which made up 8%, percent of all the jelly beans in the

bag.How many jelly beans were in the bag?
Mathematics
1 answer:
Margarita [4]3 years ago
6 0
So, let's look at the problem once again.

8%, or 8/100 of the bag were green jelly beans.

Let's see what we can do to find out a number of other jelly beans, not including the green ones.

We know that 92% of jelly-beans are not green.

92% is 11.5 times more than 8%
(92/8)

24 (or 8%) times 11.5 = 276

276 - number of jelly beans that are not green.

276 plus 24 = 300.

Answer: 300 jelly beans were in one bag.
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3 0
3 years ago
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

= \dfrac{1}{40(1-2x^5)^4} +C

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

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Alexus [3.1K]
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6 0
3 years ago
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