Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
1 answer:
You might be interested in
Answer:
X ball bearings can be produced in 1 hour and 20 minutes
Step-by-step explanation:
Proportions
Proportions serve as an essential method for solving various common challenges. We understand that:
Company ABC manufactures X ball bearings in 3 hours.
Company DEF produces X ball bearings in 4 hours.
Company GHI generates X ball bearings in 6 hours.
In a single hour, each company is capable of producing:
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
By collaborating, they can produce
ball bearings. Operating together
If their output is 3/4 of a ball bearing in one hour, then it will take
hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.
X ball bearings can be produced in 1 hour and 20 minutes
Given:
The temperature recorded at 10:00 am is 8 degrees Fahrenheit.
The temperature decreases by 3 degrees Fahrenheit each hour.
To find:
The temperature at 2:00 pm on the same day.
Solution:
Let y represent the temperature after x hours since 10:00 am.
The temperature at 10:00 am serves as the initial temperature.
Thus, the y-intercept of the linear equation is 8.
The temperature reduces by 3 degrees Fahrenheit every hour.
This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.
The slope-intercept form of a linear function is indicated by
where m is the slope and b is the y-intercept.
Inserting m=-3 and y=8 into the above equation gives us the required values.
From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.
Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.