Answer: The answer is 400 blue marbles.
Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.
So, number of red marbles is
![n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,](https://tex.z-dn.net/?f=n_r%3D65%5C%25%5Ctimes%20560%3D%5Cdfrac%7B65%7D%7B100%7D%5Ctimes%20560%3D364%2C)
and number of blue marbles is
![n_b=560-364=196.](https://tex.z-dn.net/?f=n_b%3D560-364%3D196.)
Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be
![n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.](https://tex.z-dn.net/?f=n_r%5E%5Cprime%3D364-28%3D336~~~%5Ctextup%7Band%7D~~~n_b%5E%5Cprime%3D196%2B28%3D224.)
Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then
![65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.](https://tex.z-dn.net/?f=65%5C%25%5Ctimes%20%28560%2Bx%29%3D224%2Bx%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B65%7D%7B100%7D%5Ctimes%20%28560%2Bx%29%3D224%2Bx%5C%5C%5C%5C%5CRightarrow%2013%28560%2Bx%29%3D20%28224%2Bx%29%5C%5C%5C%5C%5CRightarrow%207280%2B13x%3D4480%2B20x%5C%5C%5C%5C%5CRightarrow%207x%3D2800%5C%5C%5C%5C%5CRightarrow%20x%3D400.)
Thus, 400 blue marbles need to be added to the bag.
(h + j)(x)
h(x) + j(x)
2x - 3 + -4x
-2x - 3
∑ Hey, petalssquad10 ⊃
Answer:
( 10 x + 10 ) = 110
Step-by-step explanation:
As you can see this following diagram shown a vertical angles which are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.
Hence, the equation we can be used to solve for x in the following diagram is:
( 10 x + 10 ) = 110
You can also refer to the image below:
<u><em>xcookiex12</em></u>
<u><em></em></u>
<em>8/18/2022</em>
Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements