Solution: The Steps are defined below,
Explanation:
To divide a line segment in 2:3 using compass alexis has to follow many steps:
1) Draw a line segment ab of length x.
2) Draw a line ac which makes an acute angle with the line ab.
3) Since alexis has to divide the line is 2:3, so make 2+3=5 arc of equal length of ac with the help of compass.
4) Name the fifth arc as d, so join the fifth arc with point b.
5) The draw a parallel to the line bd, and passing through the 2nd acr of ad. mark the second are as m.
6) Let the parallel line intersect at point n. Where the parallel line intersect the line ab, that point divides the line segment ab is 2:3.
By using above steps we get the figure same as the figure given below.
Answer:
the mathematical model is : 
Step-by-step explanation:
Given that:
Let A(t) to be the amount of oil in the barrel at time t.
However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.
Then,
Initially the 100 -gallon barrel is half-full of oil
So, A(0) = 100/2 = 50
The variable is now being separated as:
Taking integral of both sides; we have:
However; since A(0) = 50; Then
t = 0 ; A =50 in the above equation
Thus; the mathematical model is :
Given that the concentration of salt in a 125 ml of salt solution is 20%, this means that the ratio of salt to water in the solution is 20 : 80 = 1 : 4.
Thus, the amount of salt in the 125 ml 20% salt solution is given by 20% of 125 = 0.2 x 125 = 25ml and the amount of water in the 125ml 20% salt solution is 125 - 25 = 100 ml.
When 25 ml of water is added to the 125 ml 20% salt solution, the new amount of water is 100 + 25 =125 and the amount of salt remain 25 ml.
Thus, the new volume of the solution is 125 + 25 = 150 ml and the proprtion of salt in the new solution is given by 25 / 150 = 0.1667
Therefore, the concentration of a new solution <span>obtained by mixing 25ml of water with 125ml of a 20% salt solution in water is 16.67%</span>
7.20/24 would give us 0.30/1 so Jalen's unit rate is $0.30 per juice pack.
Then we take our 2.70/6 which would give us 0.45/1 which means the unit rate is $0.45 per juice pack.What you're doing is trying to find the difference, so you'd subtract
.30 from .45 which gives you .15, the difference is $0.15 per unit.
0.15 is your answer
