Equation can be used to represent the altitude of the balloon, b, based on time, t be 3000-80x
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
A hot-air balloon is traveling at an altitude of 3,000 feet.
It begins to descend at a rate of 80 feet per minute.
let x be the time in minutes.
let y be the altitude in feet.
Hence, equation will be = 3000-80x
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400 square feet because 10*40 is 400
Answer:
The sum of the interior angles of a quadrilateral <u>equals</u><u> </u> the sum of its exterior angles.
Step-by-step explanation:
The sum of the exterior angles of a quadrilateral is 360 degrees.
The sum of the interior angles = (n-2)*180
Here n = 4, the number of sides.
Quadrilateral has 4 sides.
The sum of the interior angles = (4 - 2)*180
= 2*180
= 360 degrees.
Therefore, the sum of the interior angles of a quadrilateral <u>equals </u> the sum of its exterior angles.
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Answer:
x-intercept = 17/4 and y = -17/3
Step-by-step explanation:
To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.
To
4x - 3y = 17
4(0) - 3y = 17
0 - 3y = 17
y = 17 /-3
y = -17/3 = -5 2/3 y-intercept = -5 2/3.
The ordered pair on the graph is (0, -17/3)
4x - 3(0) = 17
4x - 0 = 17
4x = 17
x = 17/4 x-intercept = 17/4
The ordered pair on the graph is (17/4, 0)
Answer: -5.6
Step-by-step explanation:
Simplifying
(4x + -28) = 9x
Reorder the terms:
(-28 + 4x) = 9x
Remove parenthesis around (-28 + 4x)
-28 + 4x = 9x
Solving
-28 + 4x = 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-28 + 4x + -9x = 9x + -9x
Combine like terms: 4x + -9x = -5x
-28 + -5x = 9x + -9x
Combine like terms: 9x + -9x = 0
-28 + -5x = 0
Add '28' to each side of the equation.
-28 + 28 + -5x = 0 + 28
Combine like terms: -28 + 28 = 0
0 + -5x = 0 + 28
-5x = 0 + 28
Combine like terms: 0 + 28 = 28
-5x = 28
Divide each side by '-5'.
x = -5.6
Simplifying
x = -5.6
