Answer:
Step-by-step explanation:
Do you remember the formula so that you can solve this problem??
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then, will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have .
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have .
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have .
Now just add to find that .
So the 76th term is 167.
The proportional relationship involving c and b is c ∝ b. The solution to c is c = kb (where k is constant)
Variation is a mathematical notion that relates to variability. Variation is defined to be any change in one quantity as a result of a change in another. Variation questions feature relatively basic connections or formulae in which one variable equals one term.
From the given question
- if c represents the number of calories, and
- b represents the number of brownies.
A direct variation is a type of variation in which an increase in one term increases the other term as well, and, vice versa.
Let assume the proportional relationship follows a direct variation.
Then,
c ∝ b
The solution to c is:
c = kb
(where k is the constant)
Learn more about variation here:
brainly.com/question/13977805?referrer=searchResults
Answer:
8 hours and 30 minutes
Step-by-step explanation:
If you divide the hours by the number of days you will get your answer for the average amount of time spent each day. So, 153 hours divided by 18 days is 8.5. 8.5 can also be converted into 8 hours and 30 minutes and .5 is half of a number and 30 minutes is half of an hour. Therefore, your final answer is 8 hours and 30 minutes. Hope this helps! :)
Since the rack can hold 30 and there are 7 spaces left the rack has 30-7=23 CD s on the rack