Answer:
Step-by-step explanation:
Let x represent the number of spelling questions in the test.
Let y represent the number of vocabulary questions in the test.
Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that
x + y = 15
Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that
5x + 10y = 100 - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
5(15 - y) + 10y = 100
75 - 5y + 10y = 100
- 5y + 10y = 100 - 75
5y = 25
y = 25/5 = 5
x = 15 - y = 15 - 5 = 10
Answer:
(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.
(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.
Step-by-step explanation:
The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.
Answer:
Step-by-step explanation:
Given
Required
Determine the job time in minutes
To do this, we simply convert the time to minutes.
So, we have:
<em>Hence, the job time in minutes is 420 minutes</em>
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
