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TiliK225 [7]
3 years ago
15

Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

otal number of jelly beans?
Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out  the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

\text{Total number of jelly beans}=5+4+3=12

Now we can find out out our desirable ratio by substituting our finding in the ratio.

\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.


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y_1=e^x\cos x
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The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

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u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
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Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

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7 0
3 years ago
Six out of 10 kids prefer swimming to hiking. How many kids out of 100 prefer swimming?
eimsori [14]
6/10 = 0.6

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Answer = B.60

~Aamira~

~Hope this helped~
8 0
3 years ago
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Answer:

A. 41 (12 - 2)

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If the club decided to charge $12 for a hat, but reduced the price by $2, the reduced price of the hat is (12 - 2). The amount of money earned is based upon the price of the hat multiplied by the number of hats sold. Therefore, the answer is 41 (12 - 2).

Hope this helped :)

7 0
2 years ago
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Luden [163]

Answer:

the answer is going to be D. (3,4,5,8,9,3)

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