Answer:
$40
Step-by-step explanation:
we know that
The linear equation in slope intercept form i equal to
where
y is the amount of her mother's donation
x is the number of miles that Melissa walks
where
m is the slope
b is the y-intercept
In this problem
The slope is
The y-intercept is
substitute
so
For x=15 miles
substitute
The system of inequalities that best describes this situation provided A represents the area in which the entire field exists:
Word problems in mathematics exist methods we can utilize variables, algebra notations, and arithmetic operations to solve real-life cases.
We have a new addition to the current rectangular field,
Let that new addition to the current rectangular field be x
Length of the new addition = 10x
Twice the width of the new addition = 2x²
Original area of the field = 300
From the above information, we can derive a quadratic equation:
2x² + 10x + 300
Also, we exist given a constraint that the total area of the practice field should be no more than 1200.
It can be less than 1200 or equivalent to 1200.
Therefore, the system of inequalities that best describes this situation provided A represents the area in which the entire field exists:
To learn more about quadratic equations refer to:
#SPJ4
Answer:
113.1 unit²
Step-by-step explanation:
A cylinder is a shape with two round ends and two parallel lines connecting the round ends.
Height=9 unit, Base=4 unit
The lateral surface area of a cylinder (A) is given by the equation:
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.
Radius (r) = d/2 = 4/2 = 2 unit
Calculating the area of the cylinder is as follows
The area of the cylinder is 113.1 unit²