Answer:
600
Step-by-step explanation:
Answer:
60 miles per hour.
Step-by-step explanation:
Let r represent speed of wind blowing in miles per hour.
We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 
.
The speed of the plane is the opposite direction of wind would be 
.
Distance covered in the direction of wind would be 
.
Distance covered in the opposite direction of wind would be 
.
Since both distances are same, so we will get:
Therefore, the wind is blowing at a rate of 60 miles per hour.
Hey there :)
3√10 + 7√15 - 6√10 - 4√15
Combine like-terms together
3√10 - 6√10 + 7√15 - 4√15
- 3√10 + 3√15
↑
Will be your final answer
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Step-by-step explanation:
The perimeter is the sum of all sides.
AB+AC+CB=75
(2x-9) + (2x+3) + (3x+4) = 75
Combine like terms:
(2x+2x+3x) + (-9+3+4) = 75
7x - 2 = 75
7x = 77
x=11
Replace 'x' with '11' in the above equations to find that:
AB = 2(11) - 9 = 22 - 9 = 13 m
AC = 2(11) + 3 = 22 + 3 = 25 m
CB = 3(11) + 4 = 33 + 4 = 37 m
13 + 25 + 37 = 75 m
