Answer:
a. y = 10.25x - 60
b. $60
c. 6 hours
Step-by-step explanation:
To find slope of table we use rise/run aka change in y/change in x
- Get two y values, and two x values, ex: (13,73.25),(40,350), now find the change in y and x respectively, (350-73.25)/(40-13) = 276.75/27 = 10.25
- The slope is 10.25, now we find the y-intercept or the amount of money she starts at, using the equation, y = mx+b, m being the slope, b being the y-intercept, y/x being the axes.
- We plug in a x,y value on the same row, along with the slope we just found. 350 = (10.25)(40) + b, 350 = 410 + b, b = -60.
- Therefore the equation is y = 10.25x - 60
To find the amount of money she spent on her uniform, we can look at the value she started with.
- We find the y-intercept, which is already found in the previous question (a).
- The y-intercept or amount she payed for her uniform is $60
To find the amount hours, we can plug in values for y, to solve for x. 'y' is the axis for earnings, so if we set 'y' to 0, that would mean that 'x' amount of hours would make -60 become 0
- Set up the equation: 0 = 10.25x-60
- Solve for x: 60 = 10.25x, x ~= 5.85 hours
- Note that you have to round up to 6 hours because Erin is paid hourly, and working for only 5 hours is not enough, thus the answer would be 6 hours.
Answer:It will take Mary about 2 minutes to run one lap.
Step-by-step explanation:
c = 2r = 2 * 3.14 * 25
2 * 3.14 = 6.28
6.28 * 25 = 157
157/ 75 = 2 w/ remainder of 7
Round down and it is roughly 2 minutes.
mark me brainliest if correct thank you
12x+3y=-17 solve for y and you will have the point slope form of the line.
3y=-12x-17
y=-12x/3-17/3 this is of the form y=mx+b where m=slope.
m=-4
Answer:
1,793.7 ft³
Step-by-step explanation:
please see attached for reference
The volume of a right circular cone is given by
Volume, V = (1/3) πr²h where,
V = volume of cone
r = radius = (1/2) diameter = 18.7/2 = 9.35 ft
h = height of cone = given as 19 ft
π = 3.142
Substituting the above values into the equation:
V = (1/3) πr²h
= (1/3) (3.142) (9.35)²(19)
= 1,739.6595 ft³
= 1,793.7 ft³ (nearest tenth)
A+b+c=56
a=√625=25
b=2√81 = 2x9=18
c = 56-25-18=13