Morten Andersen played in NFL for 25 years write and solve an equation to find how many points he averaged each year
1 answer:
Answer:
So then we have that Morten Andersen scored on average 97.45 points per year in his career.
Step-by-step explanation:
Assuming the following table on the figure attached.
We see that the career points for Morten Andersen was 2437. That include all the points over alll the years the he played in the NFL.
Since the total years played by Morten Andersen was 25 we can write the following equation:
Where represent the rate of points average per year.
If we solve for r from the last equation we can divide both sides of the equation and we got:
So then we have that Morten Andersen scored on average 97.45 points per year in his career.
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Answer:
The minimum acceptable weight of the flour bag is 39.5 kg,
and its maximum acceptable weight is 40.5 kg
Step-by-step explanation:
Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:
The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:
a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.
a) If then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:
which means that the weigh "x" of the flour bag should be smaller or equal than 40.5 kg
b) If , then the absolute value of this is its opposite : -x+40, and the inequality becomes:
which means that the weight of the flour bag must be larger than or equal to 39.5 kg
So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg