Given that the salt concentration in a 125 ml salt solution is at 20%, it indicates a salt to water ratio of 20:80, which simplifies to 1:4.
Consequently, the salt quantity in the 125 ml 20% solution can be calculated as 20% of 125, yielding 0.2 x 125 = 25 ml, and therefore, the water content amounts to 125 - 25 = 100 ml.
When adding 25 ml of water to this 20% salt solution, the total water becomes 100 + 25 = 125 ml while the salt quantity remains at 25 ml.
Thus, the new total volume of the solution is 125 + 25 = 150 ml, leading to a salt proportion in the updated mixture of 25/150 = 0.1667.
As a result, the concentration of the new solution <span>after mixing 25 ml of water with 125 ml of a 20% salt solution is 16.67%</span>
Using the fact that 100% corresponds to 45 sales, and 35% corresponds to X sales:
Set up a proportion:
45 = 100%
x = 35%
This translates to the ratio (45/x) = (100/35).
Solving for x:
x = (45 × 35) / 100 = 15.75, which rounds to 16 sales.
Thus, you require at least 16 additional sales to boost your total by 35%.
Answer:
The variation constant is 1/9
The direct variation equation is expressed as y/x= 1/9
Step-by-step explanation:
In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Consequently, the constant of variation is 1/9
Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation
* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.
The student ought to fix the vehicle, as that would be more economical.
Answer
1/9
Step-by-step explanation:
The likelihood that she acquires it on any one day is one-third, so multiplying by 1/3 for the three equal days gives the result.
