Answer:
Step-by-step explanation:
They are closed under addition, subtraction and multiplication.
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:
1/555 miles
Step-by-step explanation:
The question requires that we determine the speed in miles per second. From the definition of speed, it's distance covered per unit time. In this case, the distance covered is in miles and unit time is seconds.
Distance=1/3 mile
Time= 3 minutes, 5 seconds
Speed=Distance (miles) /time(s)
Converting time to seconds, we multiply by 3 minutes by 60=3*60=180 seconds
Total time=180+5=185 seconds
Substituting distance with 1/3 mile and time with 185 seconds we get speed as
![Speed=\frac {1/3 miles}{185 seconds}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%20%7B1%2F3%20miles%7D%7B185%20seconds%7D)
Speed=0.001801802 or 1/555 miles per second
Answer:
1/20
Step-by-step explanation:
In Scarlette grade 1/5 of the students have a sister.
Of the students who have a sister 1/4 also have a brother
Therefore fraction if students in Scarlet's grade who had both brothers and sister can be calculated as follows
= 1/5 ×1/4
= 1/20
Answer:
0.975
Step-by-step explanation: