Response:
Yearly average cost = 400 + 180/x
Detailed explanation:
Utilizing the equation y=mx+b
The value of b represents the initial costs or the y intercept, reflecting the start-up expenses
m signifies the cost increase per each unit of x, which is 400 each year
Total costs = 400x + 180
To determine the yearly average cost, we must divide by x
Average yearly cost = (400x + 180)/x
= 400 + 180/x
<span>A typical door measures about 80 inches tall by 36 inches wide. The width in that pair is 36 inches, so Hank's reasonable estimate for the classroom door width would be 36 inches. Converting inches to feet uses 12 inches = 1 foot, and 36 ÷ 12 = 3, so the width is about 3 feet.</span>
Answer: The unknown values x and y correspond to 8 and 20, specifically;
(x, y) = (8, 20)
Step-by-step explanation: The equation y = 16 + 0.5x represents a linear relationship that can be illustrated with a graph. This indicates that values for x and y can be located at various points on the line.
The ordered pairs signify that for each x value, there exists a matching y value.
The values listed in a two-column format for x and y all fulfill the equation y = 16 + 0.5x. Observing the first example, the pair (-4, 14) is presented.
This reveals that when x is -4, y will be 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 - 2
y = 14
Thus, the first pair, similar to the other pairs, satisfies the equation.
Consequently, by reviewing the options provided, we can deduce which one fulfills the equation.
(option 1) If x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) If x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) If x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
Our calculations confirm that the third option (8, 20) is the correct ordered pair for x and y.
According to the triangle sum theorem, the total of all angles in a triangle must equal 180 degrees. Given that one angle measures 90 degrees, we can determine the other angles by calculating 180-90=90. The remaining two angles must sum to 90 degrees, precisely.
Answer:
Step-by-step explanation:
The equation provided is:
d = 5x + 10xf
We need to isolate x from this equation.
Factoring out x from the right side gives us,
d=x(5+10f)
To find x, divide both sides by (5+10f),
Thus, this represents the sought value for x.
