The answer to your first question is $390.98
Answer: Part a: b represents the base fee charged for the "house call" job
m is the hourly rate.
x is the number of hours at the job.
y represents the total cost for the job.
Part b:. The y-intercept is 65
The equation follows y=mx+b
Y= 42x + 65
Part c:. $275
Step-by-step explanation:
The difference between the two total costs, (Camilla 191 - Connor 107)
= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.
m= 42
42 from 107 to find b, the base fee, 65 This is the y-intercept.
The equation is y= 42x + 65
Quick check using Camilla's bill: 191 = (42)(3) + 65
191 = 126 + 65 True!
Part C:
To find the total cost of the plumber's 5 hour job,
Y = 42(5) + 65
Y= 210 + 65
Y= $275
Answer:
Step-by-step explanation:
1) ∠1 + 33 = 180 {Straight line}
∠1 = 180 - 33
∠1 = 147
2){Exterior angle of a triangle equals the sum of opposite interior angles}
∠2 = 47 + 33
∠2 = 80
3) ∠2 +x = 180 {straight line}
80 + x = 180
x = 180 - 80
x = 100
{Exterior angle of a triangle equals the sum of opposite interior angles}
∠3 = 100 + 48
∠3 = 148
Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
It is true that the surface area of the sphere and the lateral area of the cylinder are equal. The answer is True.
