Answer:
12 pencils per package.
Step-by-step explanation:
Details provided:
Ethan purchased 4 packages of pencils.
Number of Packages = 4
Number of pencils shared with friend = 8 pencils
Pencils remaining = 40 pencils
∴Total Number of Pencils = Pencils given to friend + Pencils remaining = 
Total Pencils in each package = 
To achieve the desired output, first use the machine with the function y = x^2 - 6, followed by the machine that computes y = sqrt(x-5). This way, when you input 6, the output from the first machine is calculated as x = 6, yielding y = 6^2 - 6, resulting in 30 as the input for the second machine. The second machine then processes this to provide the final output of sqrt(30 - 5), which equals sqrt(25) = 5. Alternatively, to obtain a negative final output, you should first utilize the machine with the function y = sqrt(x-5). Assuming you start with the value x = 9, the first machine computes this to sqrt(9-5), which is sqrt(4) = 2. Then, the second machine converts y to 2^2 - 6, leading to a result of 4 - 6 = -2.
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>
Response:
(C) Fourth
Detailed reasoning:
We will create a list based on the given constraints.
Chris is last in the order, positioned right after Andy.
Frank holds the first position in line and is one spot ahead of Betty.
Mark stands in between Betty and Mary.
- Frank
- Betty
- Mark
- Mary
- Andy
- Chris
Answer:
Begin by selecting two points from the data. Determine the difference between the second y-coordinate and the first y-coordinate. Next, take that difference divided by the difference between the second x-coordinate and the first x-coordinate.
Step-by-step explanation:
