Answer:
x = 5/4
Step-by-step explanation:
By combining like terms, you get 8x = 10.
Divide the 8 on both sides of the equation.
x = 10/8
This, however, can be simplified by dividing by 2. This ultimately gives us 5/4.
Answer: the answer is b( a quantile - quantile plot and a p- value test
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
x + (180 - 105) + (180 -140) = 180
x + 75 + 40 = 180
x = 180 -75 - 40
x = 65
Since each side is r times the side of ABC, then 30*r+40*r+60*r is the perimeter, which equals 130r (by separating it into r*(30+40+60) using the distributive property)
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' = 
m = 
= 
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.