Answer:

Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:

We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:

Solving for m2:



Now we know the slope of the new line, we use the slope-point form of the line:

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

Answer:
B) Variable Expense
Step-by-step explanation:
trust me
Hi there!
To solve this problem, we need to set up two equations and use the system of equations to solve.
Let x be the first number.
Let y be the second number.
(x + y) ÷ 2 = 34
x = 3y
Now, we can use substitution to solve.
(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17
Now, we plug the value of y in the equation to solve for x.
x = 3*17
x = 51
Hope this helps!
22. Suppose that the teacher started recording on a digital camera with an hour available.
She gives 15 minutes introduction. Thus 60 minutes – 15 minutes is 45 minutes.
She still have 45 minutes remaining, now the question is how many minutes will remain if she uses 1 minutes per students.
Since the number of students is not given. It depends on how many students will be there. For example 25 students thus that’s equals to 25 minutes also. So she has a 20 minutes remaining.,
Answer:
Box of Popcorn: $3.00
Drink: $2.00
Step-by-step explanation:
If we input the prices into the original problem it would be something like this, (2)3.00 + (3)2.00 = $12.00 (3+3 = 6 and 2 + 2 + 2 = 6 6+6= 12) Or 2x + 3x = $12
And you would do the same thing for the second one.
(3)3.00 + (5)2.00 = $19.00 ( 3 + 3 + 3 = 9 and 2 + 2 + 2 + 2 +2 = 10 10+9= 19) Or 3x + 5x = $19
Sorry if it's incorrect but i hope it helps!