Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
1:2
because red:black = 10:20 and simplifies to 1:2
Answer:
c=775
Step-by-step explanation:
The value of x is 105 when y=42
Step-by-step explanation:
A direct proportion means that the change in one quantity will also cause the change in other quantity
Given
y varies directly with x
x ∝ y
when the proportionality symbol is removed a proportionality constant is introduced
![x=ky\\k=\frac{x}{y}\\Putting\ y=8\ and\ x=20\\k=\frac{20}{8}\\k = \frac{5}{2}\\So,\ the\ equation\ will\ be\\x=\frac{5}{2}y\\Putting\ y=42\\x=\frac{5}{2}*42\\x=5*21\\x= 105](https://tex.z-dn.net/?f=x%3Dky%5C%5Ck%3D%5Cfrac%7Bx%7D%7By%7D%5C%5CPutting%5C%20y%3D8%5C%20and%5C%20x%3D20%5C%5Ck%3D%5Cfrac%7B20%7D%7B8%7D%5C%5Ck%20%3D%20%5Cfrac%7B5%7D%7B2%7D%5C%5CSo%2C%5C%20the%5C%20equation%5C%20will%5C%20be%5C%5Cx%3D%5Cfrac%7B5%7D%7B2%7Dy%5C%5CPutting%5C%20y%3D42%5C%5Cx%3D%5Cfrac%7B5%7D%7B2%7D%2A42%5C%5Cx%3D5%2A21%5C%5Cx%3D%20105)
The value of x is 105 when y=42
Keywords: Proportion, Direct variation
Learn more about proportion at:
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Answer:
Sasha’s down payment will likely be less if she decided to buy.