Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Let
c ----> the total cost of the boat rental
d ---> is the number of days, the family rents the boat
we know that
Kaya's family spends $105 to rent a boat for 7 days
so
For d=7 days, c=$105
Find the value of the constant of proportionality k

substitute the given values

therefore
The linear direct equation is equal to

Answer:
- 3.5
- 2
- B
- A
Step-by-step explanation:
Middle School:
Find the median by arranging the data points from smallest to largest.
1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)
7/2 = 3.5
High School:
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)
4/2 = 2
Most of the points in the middle school plot are four or less.
A (High school students had more variation.)
The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.
<h3>What is the first-order condition in differential calculus?</h3>
A first-order differential equation is represented by the equation
with 2 variables x & y, including its function f(x,y) specified on a xy-plane.
Given that:

Let us first differentiate the above equation with respect to x, we have:

(multiply by -1)
44x - 22y = 110 ------ (equation 1)
Now, differentiating with respect to y, we have:


22x - 22y = 40 ----- (equation 2)
Now, we have a system of equations:
44x - 22y = 110
- ---- ( subtracting equation 2 from 1; elimination method)
<u> 22x - 22y = 40 </u>
<u>22x + 0 = 70 </u>
<u />
x = 70/22
Replacing the value of x into equation (1), we have:
44x - 22y = 110
44(70/22) - 22y = 110
140 - 22y = 110
140 - 110 = 22y
30 = 22y
y = 30/22
Learn more about the first-order conditions in differential calculus here;
brainly.com/question/14528981
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Answer: 3/16 of the bag
Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16
Answer:
10 SENIORS
Step-by-step explanation:
x=# of seniors
y=# of juniors
x+y=23, x=2y-7
- plug the value of x in the second equation into the first
- (2y-7)+y=23
- Remove parentheses
- 2y-7+y=23
- Combine like terms
- 3y-7=23
- Add 7 to BOTH sides
- 3y=30
- divide BOTH sides by 3
- 3y/3=30/3
- y=10
- There are 10 juniors in the class
- FINAL STEPS
- Plug y (which is 10) into the first equation
- x+y=23
- x+10=23
- subtract 10 from BOTH sides
- x=13
- Since X equals the number of seniors, there are 10 seniors in the class